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Re: Readings in (some of the) foundations of mathematics --- tree of knowledge

From dbush <dbush.mobile@gmail.com>
Newsgroups comp.theory, comp.ai.philosophy, sci.logic, sci.math
Subject Re: Readings in (some of the) foundations of mathematics --- tree of knowledge
Date 2026-06-26 14:02 -0400
Organization A noiseless patient Spider
Message-ID <111mesc$lde0$5@dont-email.me> (permalink)
References (26 earlier) <111mcgq$ms4u$1@dont-email.me> <111mcll$lde0$3@dont-email.me> <111mdgp$n5f2$1@dont-email.me> <111mdmb$lde0$4@dont-email.me> <111meat$netv$1@dont-email.me>

Cross-posted to 4 groups.

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On 6/26/2026 1:53 PM, olcott wrote:
> On 6/26/2026 12:42 PM, dbush wrote:
>> On 6/26/2026 1:39 PM, olcott wrote:
>>> On 6/26/2026 12:25 PM, dbush wrote:
>>>> On 6/26/2026 1:22 PM, olcott wrote:
>>>>> On 6/26/2026 11:08 AM, dbush wrote:
>>>>>> On 6/26/2026 10:24 AM, olcott wrote:
>>>>>>> On 6/26/2026 8:57 AM, dbush wrote:
>>>>>>>> On 6/26/2026 9:45 AM, olcott wrote:
>>>>>>>>> On 6/26/2026 8:20 AM, dbush wrote:
>>>>>>>>>> On 6/26/2026 9:10 AM, olcott wrote:
>>>>>>>>>>> On 6/26/2026 1:39 AM, Mikko wrote:
>>>>>>>>>>>> On 25/06/2026 19:14, olcott wrote:
>>>>>>>>>>>>> On 6/25/2026 2:21 AM, Mikko wrote:
>>>>>>>>>>>>>> On 24/06/2026 23:26, olcott wrote:
>>>>>>>>>>>>>>> On 6/24/2026 5:00 AM, Mikko wrote:
>>>>>>>>>>>>>>>> On 23/06/2026 17:48, olcott wrote:
>>>>>>>>>>>>>>>>> On 6/23/2026 1:06 AM, Mikko wrote:
>>>>>>>>>>>>>>>>>> On 22/06/2026 15:10, olcott wrote:
>>>>>>>>>>>>>>>>>>> On 6/22/2026 1:49 AM, Mikko wrote:
>>>>>>>>>>>>>>>>>>>> On 22/06/2026 02:02, olcott wrote:
>>>>>>>>>>>>>>>>>>>>> On 6/21/2026 4:08 PM, André G. Isaak wrote:
>>>>>>>>>>>>>>>>>>>>>> On 2026-06-21 14:42, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>>> On 6/21/2026 3:04 PM, Alan Mackenzie wrote:
>>>>>>>>>>>>>>>>>>>>>>>> [ Followup-To: set ]
>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>> In comp.theory olcott <polcott333@gmail.com> wrote:
>>>>>>>>>>>>>>>>>>>>>>>>> On 6/21/2026 6:26 AM, Alan Mackenzie wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>> In comp.theory olcott <polcott333@gmail.com> 
>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>> I just found the term:
>>>>>>>>>>>>>>>>>>>>>>>>>>> "grounding in a proof theoretic atomic base" 
>>>>>>>>>>>>>>>>>>>>>>>>>>> yesterday.
>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>> You can find any number of terms.  That 
>>>>>>>>>>>>>>>>>>>>>>>>>> doesn't mean you're capable of
>>>>>>>>>>>>>>>>>>>>>>>>>> understanding them.
>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>> The above is the key reason why under PTS Gödel 
>>>>>>>>>>>>>>>>>>>>>>>>> 1931 incompleteness
>>>>>>>>>>>>>>>>>>>>>>>>> fails.
>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>> I don't believe you.  You have no respect for or 
>>>>>>>>>>>>>>>>>>>>>>>> understanding of the
>>>>>>>>>>>>>>>>>>>>>>>> truth.  If you really want to persuade anybody 
>>>>>>>>>>>>>>>>>>>>>>>> that PTS somehow causes
>>>>>>>>>>>>>>>>>>>>>>>> Gödel's theorem not to hold, then cite an 
>>>>>>>>>>>>>>>>>>>>>>>> academic expert who'll have
>>>>>>>>>>>>>>>>>>>>>>>> some credibility.
>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>> If they are mere gibberish words to you then 
>>>>>>>>>>>>>>>>>>>>>>>>> you will not understand.
>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>> You don't understand Proof-theoritic Semantics, 
>>>>>>>>>>>>>>>>>>>>>>>> and you certainly don't
>>>>>>>>>>>>>>>>>>>>>>>> understand Gödel's Theorem, neither the theorem 
>>>>>>>>>>>>>>>>>>>>>>>> itself nor any proof of
>>>>>>>>>>>>>>>>>>>>>>>> it.
>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>> It is a verified fact that Gödel's G is ungrounded
>>>>>>>>>>>>>>>>>>>>>>> in the atomic base of PA. That you do not understand
>>>>>>>>>>>>>>>>>>>>>>> what: "grounded in the atomic base" means is less
>>>>>>>>>>>>>>>>>>>>>>> than no rebuttal at all.
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> "grounded in the atomic base of PA" is an 
>>>>>>>>>>>>>>>>>>>>>> expression used only by you, and it is one which 
>>>>>>>>>>>>>>>>>>>>>> you have never explicitly defined, so the fault 
>>>>>>>>>>>>>>>>>>>>>> here certainly doesn't lie with Alan. It's 
>>>>>>>>>>>>>>>>>>>>>> certainly not a 'verified fact' when you haven't 
>>>>>>>>>>>>>>>>>>>>>> even adequately explained what it is that you mean.
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>> All of knowledge expressed in language is 
>>>>>>>>>>>>>>>>>>>>> structured as a tree of semantic relations 
>>>>>>>>>>>>>>>>>>>>> specified syntactically between finite strings.
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>> What makes you believe semantic relations that can 
>>>>>>>>>>>>>>>>>>>> be structured as
>>>>>>>>>>>>>>>>>>>> a tree are sufficient to contain all knowledge that 
>>>>>>>>>>>>>>>>>>>> is exressed in
>>>>>>>>>>>>>>>>>>>> some language?
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>> The CycL language and the Cyc Project.
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>> They use a tree structure for concepts. But why would 
>>>>>>>>>>>>>>>>>> one try to
>>>>>>>>>>>>>>>>>> put knowledge in a tree structure?
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> It must at least be a directed acyclic graph or
>>>>>>>>>>>>>>>>> the proof gets stuck in an infinite loop and never
>>>>>>>>>>>>>>>>> completes.
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> How can any ordering of knowledge prevent getting stuck 
>>>>>>>>>>>>>>>> in a loop
>>>>>>>>>>>>>>>> when looking for a proof?
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> By looking upward in a type hierarchy.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> If you mean not looking elsewhere that may indeed prevent 
>>>>>>>>>>>>>> loops.
>>>>>>>>>>>>>> In most cases that also prevents finding the proof.
>>>>>>>>>>>>>
>>>>>>>>>>>>> Truth Conditional Semantics (TCS) <is> incoherent
>>>>>>>>>>>>> compared to Proof Theoretic Semantics (PTS). Essentially
>>>>>>>>>>>>> PTS just coherently connects the semantic meanings
>>>>>>>>>>>>> expressed in language together into one coherent body
>>>>>>>>>>>>> of general knowledge. It does this without undecidability
>>>>>>>>>>>>> or mathematical incompleteness.
>>>>>>>>>>>>
>>>>>>>>>>>> Looking for a proof does not need any semantics so it is not 
>>>>>>>>>>>> obvious
>>>>>>>>>>>> how switching to another semantics could improve it.
>>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> In proof theoretic semantics an expression only gains
>>>>>>>>>>> semantic meaning by finding a proof.
>>>>>>>>>>
>>>>>>>>>> In other words, you're saying that the sentence "no number is 
>>>>>>>>>> equal to its successor" has no meaning in Robinson Arithmetic.
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>> In proof theoretic semantics an expression only gains
>>>>>>>>> semantic meaning by finding a proof from within a
>>>>>>>>> stipulated atomic base of its own axioms like the one
>>>>>>>>> that you provided.
>>>>>>>>>
>>>>>>>>>
>>>>>>>>
>>>>>>>> Then you agree that the above natural language sentence that is 
>>>>>>>> semantically required to be either true or false has no meaning?
>>>>>>>>
>>>>>>>
>>>>>>> Your sentence would be what it always has been
>>>>>>> a stipulated true sentence axiom.
>>>>>>>
>>>>>>
>>>>>> False, as that statement is not one of the axioms of Robinson 
>>>>>> arithmetic, but it is a statement in its language, and one that 
>>>>>> has *only* an infinite connection to the axioms of that system.
>>>>>>
>>>>>> By your logic, "no number is equal to its successor" has no 
>>>>>> meaning in Robinson arithmetic.
>>>>>
>>>>> In Robinson Arithmetic (often denoted as Q),
>>>>> the statement "no number is equal to its
>>>>> successor" is not provable.While this statement
>>>>> is true for the standard natural numbers, Robinson
>>>>> Arithmetic is too weak to prove it universally
>>>>> (∀ x, S(x) ≠ x).
>>>>
>>>> So you agree that Robinson arithmetic is incomplete.
>>>>
>>>
>>> It is as complete as it was designed to be.
>>>
>>
>> There is no "designed to be".  There are sentences in the language of 
>> Robinson arithmetic that are true but not provable, 
> 
> To make is simpler to understand.
> In proof theoretic semantics:
> unprovable in Q means out-of-scope of Q.

In your own words, what does "out-of-scope" mean in this context?

> 
>> therefore making the system incomplete, as you have just agreed, 
>> meaning that you agree that incompleteness exists.
> 
> 

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Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-17 16:14 -0500
  Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-18 14:35 -0500
    Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-19 10:23 +0300
      Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-19 07:46 -0500
        Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Alan Mackenzie <acm@muc.de> - 2026-06-19 20:28 +0000
          Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dart200 <user7160@newsgrouper.org.invalid> - 2026-06-19 13:49 -0700
            Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-19 15:57 -0500
          Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-19 15:50 -0500
            Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Alan Mackenzie <acm@muc.de> - 2026-06-19 21:05 +0000
              Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-19 16:24 -0500
          Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-19 18:30 -0500
            Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-19 22:27 -0700
              Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 09:20 -0500
          Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-19 21:35 -0500
            Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-19 22:27 -0700
              Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-19 23:04 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 09:29 -0500
              Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 09:22 -0500
          Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-19 21:40 -0500
            Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-20 11:05 +0300
            Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics André G. Isaak <agisaak@gm.invalid> - 2026-06-20 11:40 -0600
              Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 14:02 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dbush <dbush.mobile@gmail.com> - 2026-06-20 15:17 -0400
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-20 12:30 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 15:45 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 15:03 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dbush <dbush.mobile@gmail.com> - 2026-06-20 16:17 -0400
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 16:03 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dbush <dbush.mobile@gmail.com> - 2026-06-20 17:17 -0400
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-21 13:02 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dbush <dbush.mobile@gmail.com> - 2026-06-21 09:14 -0400
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-22 09:16 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-21 12:57 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-21 18:51 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dbush <dbush.mobile@gmail.com> - 2026-06-21 20:16 -0400
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-22 10:13 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 08:13 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-22 11:01 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 13:12 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-22 12:28 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-23 08:39 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-23 09:29 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-24 11:23 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-24 15:19 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-25 10:09 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-25 08:43 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-26 09:17 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-26 07:59 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-27 10:16 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-21 12:48 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-21 13:36 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics phoenix <j63840576@gmail.com> - 2026-06-21 12:54 -0600
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-22 09:23 +0300
          Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-20 10:54 +0300
            Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Alan Mackenzie <acm@muc.de> - 2026-06-20 10:26 +0000
              Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 08:50 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Alan Mackenzie <acm@muc.de> - 2026-06-20 15:34 +0000
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 10:47 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Alan Mackenzie <acm@muc.de> - 2026-06-20 16:08 +0000
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 11:37 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-21 13:11 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-21 18:55 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-22 09:27 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 07:05 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-23 08:43 +0300
              Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics André G. Isaak <agisaak@gm.invalid> - 2026-06-21 14:18 -0600
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Alan Mackenzie <acm@muc.de> - 2026-06-21 20:44 +0000
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-21 16:39 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics phoenix <j63840576@gmail.com> - 2026-06-21 16:36 -0600
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-21 18:15 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics phoenix <j63840576@gmail.com> - 2026-06-21 18:32 -0600
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-21 19:44 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-22 10:46 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 10:16 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-23 08:49 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-23 09:40 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-24 12:45 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-24 15:23 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-25 10:14 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-25 08:47 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-26 09:23 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-26 08:02 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-27 10:19 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics polcott <polcott333@gmail.com> - 2026-06-27 10:34 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-21 21:27 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-22 00:22 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-21 21:16 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics André G. Isaak <agisaak@gm.invalid> - 2026-06-21 18:05 -0600
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-21 19:14 -0500
            Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 09:51 -0500
              Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-21 14:04 +0300
        Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-20 10:50 +0300
          Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 09:41 -0500
            Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-21 13:17 +0300
              Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-21 18:58 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-22 09:41 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 07:09 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-23 08:55 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-23 09:47 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-24 12:52 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-24 15:25 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-25 10:18 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-25 08:58 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-26 09:34 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-26 08:05 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-27 10:27 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics polcott <polcott333@gmail.com> - 2026-06-27 10:36 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-28 11:04 +0300
    Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-19 22:25 -0700
      Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 09:18 -0500
        Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dbush <dbush.mobile@gmail.com> - 2026-06-20 10:36 -0400
          Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 09:54 -0500
            Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dbush <dbush.mobile@gmail.com> - 2026-06-20 10:57 -0400
              Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 10:22 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dbush <dbush.mobile@gmail.com> - 2026-06-20 11:23 -0400
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 10:44 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dbush <dbush.mobile@gmail.com> - 2026-06-20 11:48 -0400
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-20 09:45 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dbush <dbush.mobile@gmail.com> - 2026-06-20 16:20 -0400
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-20 09:29 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 11:45 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-20 09:47 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 11:57 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dbush <dbush.mobile@gmail.com> - 2026-06-20 13:13 -0400
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-20 10:21 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-20 10:19 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-20 12:33 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics dbush <dbush.mobile@gmail.com> - 2026-06-20 13:36 -0400
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-20 12:13 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Alan Mackenzie <acm@muc.de> - 2026-06-20 19:48 +0000
                Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction olcott <polcott333@gmail.com> - 2026-06-20 16:00 -0500
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction dbush <dbush.mobile@gmail.com> - 2026-06-20 17:19 -0400
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction olcott <polcott333@gmail.com> - 2026-06-20 16:30 -0500
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction dbush <dbush.mobile@gmail.com> - 2026-06-20 17:34 -0400
                Disjunction introduction --- new premise from out of no where olcott <polcott333@gmail.com> - 2026-06-20 17:26 -0500
                Re: Disjunction introduction --- new premise from out of no where dbush <dbush.mobile@gmail.com> - 2026-06-20 20:11 -0400
                Re: Disjunction introduction --- new premise from out of no where olcott <polcott333@gmail.com> - 2026-06-20 19:26 -0500
                Re: Disjunction introduction --- new premise from out of no where dbush <dbush.mobile@gmail.com> - 2026-06-20 20:29 -0400
                Re: Disjunction introduction --- new premise from out of no where olcott <polcott333@gmail.com> - 2026-06-20 20:06 -0500
                Re: Disjunction introduction --- new premise from out of no where dbush <dbush.mobile@gmail.com> - 2026-06-20 21:28 -0400
                Re: Disjunction introduction --- new premise from out of no where olcott <polcott333@gmail.com> - 2026-06-20 20:32 -0500
                Re: Disjunction introduction --- new premise from out of no where dbush <dbush.mobile@gmail.com> - 2026-06-20 21:38 -0400
                Re: Disjunction introduction --- new premise from out of no where olcott <polcott333@gmail.com> - 2026-06-20 20:48 -0500
                Re: Disjunction introduction --- new premise from out of no where dbush <dbush.mobile@gmail.com> - 2026-06-20 21:51 -0400
                Re: Disjunction introduction --- new premise from out of no where "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-06-25 12:54 -0700
                Re: Disjunction introduction --- new premise from out of no where olcott <polcott333@gmail.com> - 2026-06-25 16:01 -0500
                Re: Disjunction introduction --- new premise from out of no where olcott <polcott333@gmail.com> - 2026-06-25 16:05 -0500
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction Alan Mackenzie <acm@muc.de> - 2026-06-20 21:43 +0000
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction olcott <polcott333@gmail.com> - 2026-06-20 17:47 -0500
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction Alan Mackenzie <acm@muc.de> - 2026-06-21 11:26 +0000
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction olcott <polcott333@gmail.com> - 2026-06-21 13:42 -0500
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction phoenix <j63840576@gmail.com> - 2026-06-21 12:53 -0600
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction Alan Mackenzie <acm@muc.de> - 2026-06-21 20:04 +0000
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction olcott <polcott333@gmail.com> - 2026-06-21 15:42 -0500
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction André G. Isaak <agisaak@gm.invalid> - 2026-06-21 15:08 -0600
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-21 18:02 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge André G. Isaak <agisaak@gm.invalid> - 2026-06-21 18:02 -0600
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge -- Kristen Welker olcott <polcott333@gmail.com> - 2026-06-21 19:12 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge -- Kristen Welker dbush <dbush.mobile@gmail.com> - 2026-06-21 20:20 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-22 09:49 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-22 07:10 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-23 09:06 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-23 09:48 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-23 08:53 -0700
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-24 13:00 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-24 15:26 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-25 10:21 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-25 11:14 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-26 09:39 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 08:10 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 09:20 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 08:45 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 09:57 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 09:24 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 12:08 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 12:22 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 13:25 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 12:39 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 13:42 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 12:53 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 14:02 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge André G. Isaak <agisaak@gm.invalid> - 2026-06-26 12:14 -0600
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 13:48 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 14:51 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 14:07 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 15:17 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 14:38 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 15:55 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 17:01 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 18:08 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 17:58 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 19:18 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 19:05 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 20:23 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 19:48 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 21:11 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 20:39 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-26 21:51 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-26 21:00 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge polcott <polcott333@gmail.com> - 2026-06-27 08:34 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-27 11:05 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge polcott <polcott333@gmail.com> - 2026-06-27 10:47 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-27 15:37 -0700
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 17:47 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-27 19:24 -0700
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 22:21 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-27 19:25 -0700
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-28 11:22 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-28 11:17 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-27 10:48 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge polcott <polcott333@gmail.com> - 2026-06-27 10:45 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-28 11:38 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-27 10:35 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge polcott <polcott333@gmail.com> - 2026-06-27 10:43 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 14:01 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 13:27 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 14:29 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 13:38 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 14:39 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 14:01 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 15:04 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 14:16 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 15:23 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 14:40 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 15:54 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 15:04 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 16:11 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 15:17 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 16:22 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 15:27 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 16:30 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 16:36 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 15:52 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 16:59 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 16:24 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 17:50 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 17:11 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 18:15 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 17:18 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 18:21 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 17:29 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 18:33 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 17:44 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 18:53 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 18:27 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 19:33 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 18:59 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge dbush <dbush.mobile@gmail.com> - 2026-06-27 21:13 -0400
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 20:33 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-28 12:38 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-28 12:31 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-28 22:12 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-29 09:23 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-29 08:38 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-30 10:48 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-30 08:43 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-07-01 10:01 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-07-01 10:09 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-30 11:43 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-30 09:22 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-07-01 10:13 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-07-01 10:13 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-07-02 09:44 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-07-02 09:45 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-02 08:16 -0700
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-07-02 11:47 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-07-03 12:15 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-07-03 11:41 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-07-03 10:23 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-03 10:34 -0700
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-07-03 13:17 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-03 13:36 -0700
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-03 18:14 -0700
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-07-04 10:02 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-07-04 09:58 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-07-04 08:24 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-07-06 13:13 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-07-03 12:39 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-07-03 11:43 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-07-04 10:22 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-07-04 08:29 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Alan Mackenzie <acm@muc.de> - 2026-07-04 14:07 +0000
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-07-04 11:38 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Alan Mackenzie <acm@muc.de> - 2026-07-04 17:42 +0000
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-07-06 10:10 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-07-06 08:51 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-28 11:38 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge André G. Isaak <agisaak@gm.invalid> - 2026-06-27 13:40 -0600
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-27 14:46 -0500
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Mikko <mikko.levanto@iki.fi> - 2026-06-28 11:32 +0300
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge Alan Mackenzie <acm@muc.de> - 2026-06-22 12:47 +0000
                Re: Readings in (some of the) foundations of mathematics --- tree of knowledge olcott <polcott333@gmail.com> - 2026-06-22 09:30 -0500
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction Mikko <mikko.levanto@iki.fi> - 2026-06-22 10:23 +0300
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction olcott <polcott333@gmail.com> - 2026-06-22 09:44 -0500
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction Alan Mackenzie <acm@muc.de> - 2026-06-22 15:22 +0000
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction olcott <polcott333@gmail.com> - 2026-06-22 10:36 -0500
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-22 12:07 -0700
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction olcott <polcott333@gmail.com> - 2026-06-22 14:21 -0500
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction Mikko <mikko.levanto@iki.fi> - 2026-06-23 09:15 +0300
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction olcott <polcott333@gmail.com> - 2026-06-23 09:52 -0500
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-23 08:54 -0700
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-23 09:06 -0700
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction olcott <polcott333@gmail.com> - 2026-06-23 11:56 -0500
                Re: Readings in (some of the) foundations of mathematics --- analytic/synthetic distinction Mikko <mikko.levanto@iki.fi> - 2026-06-24 13:06 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-21 13:26 +0300
        Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-21 13:23 +0300
          Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-21 19:00 -0500
            Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-22 10:40 +0300
              Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 10:12 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Alan Mackenzie <acm@muc.de> - 2026-06-22 15:48 +0000
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 11:23 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Alan Mackenzie <acm@muc.de> - 2026-06-22 18:42 +0000
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 13:59 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Alan Mackenzie <acm@muc.de> - 2026-06-22 19:50 +0000
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 15:06 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Alan Mackenzie <acm@muc.de> - 2026-06-22 20:38 +0000
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 16:01 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 16:55 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-22 21:00 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 23:14 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-22 21:31 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-23 09:22 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-23 08:51 -0700
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs olcott <polcott333@gmail.com> - 2026-06-23 11:54 -0500
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-23 10:32 -0700
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-23 10:58 -0700
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs olcott <polcott333@gmail.com> - 2026-06-23 13:24 -0500
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-27 07:26 -0700
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs olcott <polcott333@gmail.com> - 2026-06-23 13:20 -0500
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Mikko <mikko.levanto@iki.fi> - 2026-06-24 13:13 +0300
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs olcott <polcott333@gmail.com> - 2026-06-24 16:33 -0500
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs phoenix <j63840576@gmail.com> - 2026-06-24 18:28 -0600
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Mikko <mikko.levanto@iki.fi> - 2026-06-25 10:29 +0300
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs olcott <polcott333@gmail.com> - 2026-06-25 11:16 -0500
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Mikko <mikko.levanto@iki.fi> - 2026-06-26 09:45 +0300
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs olcott <polcott333@gmail.com> - 2026-06-26 08:15 -0500
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Mikko <mikko.levanto@iki.fi> - 2026-06-27 11:13 +0300
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-27 07:25 -0700
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs polcott <polcott333@gmail.com> - 2026-06-27 10:53 -0500
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Mikko <mikko.levanto@iki.fi> - 2026-06-28 12:51 +0300
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs olcott <polcott333@gmail.com> - 2026-06-30 09:53 -0500
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-30 10:36 -0700
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-30 19:47 -0700
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs olcott <polcott333@gmail.com> - 2026-06-30 22:01 -0500
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-01 05:13 -0700
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs olcott <polcott333@gmail.com> - 2026-07-01 09:59 -0500
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed graphs Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-01 10:00 -0700
                DAG of all general knowledge that can be expressed in Language olcott <polcott333@gmail.com> - 2026-07-01 12:57 -0500
                Re: DAG of all general knowledge that can be expressed in Language Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-01 12:31 -0700
                Re: DAG of all general knowledge that can be expressed in Language "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-07-01 12:37 -0700
                Re: DAG of all general knowledge that can be expressed in Language Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-01 13:16 -0700
                Re: DAG of all general knowledge that can be expressed in Language "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-07-01 18:59 -0700
                Re: DAG of all general knowledge that can be expressed in Language olcott <polcott333@gmail.com> - 2026-07-01 14:51 -0500
                Re: Ross A. Finlayson, readings in (some of the) --- cycles in directed  graphs Python <python@cccp.invalid> - 2026-06-23 21:04 +0000
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-22 21:16 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-22 21:28 -0700
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-22 15:08 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-23 09:17 -0500
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics Mikko <mikko.levanto@iki.fi> - 2026-06-23 09:26 +0300
                Re: Ross A. Finlayson, readings in (some of the) foundations of mathematics olcott <polcott333@gmail.com> - 2026-06-23 09:55 -0500

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