Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability)

Subject	Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability)
Newsgroups	comp.theory
References	(9 earlier) <87tuxzkswv.fsf@bsb.me.uk> <fJqdnUz0O-u4iYbCnZ2dnUU7-aHNnZ2d@giganews.com> <87zh7ojzp8.fsf@bsb.me.uk> <Zd6dnViKxvw77obCnZ2dnUU7-fnNnZ2d@giganews.com> <877dusjsda.fsf@bsb.me.uk>
From	olcott <NoOne@NoWhere.com>
Date	2020-07-25 22:53 -0500
Message-ID	<KICdnZQ7S4KjY4HCnZ2dnUU7-e3NnZ2d@giganews.com> (permalink)

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On 7/24/2020 8:28 PM, Ben Bacarisse wrote:
> olcott <NoOne@NoWhere.com> writes:
> 
>> On 7/24/2020 5:49 PM, Ben Bacarisse wrote:
>>> olcott <NoOne@NoWhere.com> writes:
>>>
>>>> On 7/22/2020 6:54 PM, Ben Bacarisse wrote:
>>>>> olcott <NoOne@NoWhere.com> writes:
>>>>>
>>>>>>> Try reading page 57 of Mendelson first.  I'll answer any reasonable
>>>>>>> questions you might have about that page.
>>>>>>
>>>>>> I have a hard copy of edition 4 and and PDF copy of edition 6. I
>>>>>> assume you mean edition 6.
>>>>>
>>>>> 4th I think.  Anyway, the page where the concept of an interpretation
>>>>> is introduced.
>>>> I think that I totally understand this:
>>>> Page 58 fourth edition Mendelson
>>>> The super script ^n in a name means its number of arguments
>>>> The subscript _i in a name makes this name unique
>>>>
>>>> Definition
>>>> Let L be a first-order language. An interpretation M of L consists of
>>>> the following ingredients.
>>>>
>>>> a. A nonempty set D, called the domain of the interpretation.
>>>>
>>>> My understanding: [The set of elements (integers, humans ...) that can
>>>> be assigned to the free variables]
>>>
>>> Not just the free variables.  Lets take D = ℕ and use the usual infix
>>> notation with variables that don't have subscripts.  The formula
>>>
>>>     x < y
>>>
>>> has two free variables and is satisfied by some assignment and not for
>>> others.  The sentence
>>>
>>>     ∀x∀y x < y
>>>
>>> has no free variables but is false (in this interpretation) because
>>> (informally) x < y is not the case for every assignment that could be
>>> made.  Mendelson starts with this rather informal, intuitive notion but
>>> then makes it technically watertight by explaining how you deal with
>>> sentences like this on the pages that follow.
>>>
>>>> b. For each predicate letter A^n_j of L, an assignment of an n-place
>>>> relation (A^n_j)^M in D.
>>>>
>>>> My understanding: [selects the subset of n-tuples of D that satisfy
>>>> this relation]
>>>
>>> If that wording help you, fine.  Technically (A^n_j)^M /is/ a set of
>>> n-tuples.  If D is ℕ and we use the usual interpretation of <, then < is
>>> just a set of pairs: {(0, 1), (0, 2), ... (1, 2), (1, 3), ... } with a
>>> funny-looking name.
>>
>> Yet a subset of the set of every n-tuple in ℕ.
>> (1,0) is an n-tuple in the domain that is excluded.
> 
> I don't understand.  I suspect you are using domain wrongly.  (1, 0) is
> not in the set of pairs that defines the < predicate.
> 

If the domain is ℕ then some or the ordered pairs satisfy < and some do 
not. The ones that do satisfy < are a subset of all of the ordered pairs 
of ℕ.


>>>> My understanding: [predicates are functions that evaluate to Boolean]
>>>
>>> Take care here.  That's programmer language.  The interpretation of a
>>> predicate is a set of pairs.  There's not really any evaluation and
>>> there is definitely no need for a predicate to be computable.  See the
>>> next comment for why the distinction actually helps.
>>
>> Oh I see the predicate Father_of(x, y) normally evaluates to Boolean
>> for a specific ordered pair of individual people. As a relation on a
>> domain it defines the whole set of ordered pairs that satisfy that
>> relation.
> 
> It /is/ the set of pairs that are in the relation.  It does not
> "evaluate to Boolean".  Nothing is evaluated.  For a relation R the
> notation R(x, y) is just another way of writing (x, y) ∈ R.
> 

Closed WFF are true or false, Open WFF specify sets.

>> constant h1 ∈ human beings
>> constant h2 ∈ human beings
>> (h1,h2) ∈ Father_of(x, y) would assert that h1 is the father of h2.
> 
> Please, for the moment, no poems.  None of that is written correctly.

To use the Mendelson notation (a26, a87) ∈ Father_of(x, y)
would be true or false.

> At some point you will have to learn the rules for writing actual
> mathematics rather than metaphorical hints, but for the moment try to
> copy the syntax used by Mendelson.

Yes I just did that.

>> It would seem that a predicate that is satisfied would be computable,
>> because an answer of Yes guarantees that an answer exists.
> 
> Could you refrain from injecting your own ideas for a while?  I will get
> side-tracked by explaining why things like this are wrong.  For the
> moment, a predicate in an interpretation is just a set of pairs.

(a26, a87) ∈ Father_of(x, y)

> 
>>>> c. For each function letter f^n_j of L, an assignment of an n-place
>>>> operation (f^n_j)^M in D (that is, a function from D^n into D).
>>>>
>>>> My understanding: [functions evaluate to non _Boolean]
>>>
>>> More to be wary of here.  If the interpretation domain is {true, false}
>>> or includes {true, false} then functions can "evaluate" to something you
>>> might call _Boolean.  (I don't know exactly what you mean by _Boolean.)
>>> And that's fine.  There is no confusion with predicates because they are
>>> not functions and you can't mix functions and predicates in arbitrary
>>> ways.
>>
>> It seems that predicates always [end up with] a possibly empty set of
>> n-tuples. What is the correct term for [end up with]?
> 
> A unary is a subset of D.  A binary predicate is a subset of DxD.  An
> n-ary predicate is a subset of D^n.  That's the best I can do.  I don't
> know what else you are trying to say.

That works.

>>> And again, there is no need for functions to be computable.
>>>
>>>> My understanding: [father_of(x) would evaluate to a unique constant
>>>> element of the set of humans]
>>>
>>> I would use use "evaluate".  And there is no need for unique -- the
> 
> Argh!  I meant to say: 'I would /not/ use "evaluate"'.

Father_of(x) ∈ Humans = y

> 
>>> definition of a function does not permit f(x) to be anything by one
>>> thing.  And the term "constant" is part of the syntax of the language.
>>> It has no meaning here.  If the domain is the set H of humans (not very
>>> well-defined but let's let that slip) then father_of(x) is an element of
>>> H.
>>
>> That sure was simple.
>>
>>> It's unfortunate you picked an example function with the same name as
>>> Mendelson's example predicate (see below).  I hope your example does not
>>> confuse you.
>>>
>>>> My estimate: [functions must always evaluate to elements of D]
>>>
>>> Yes, that's explicitly in the text.
>>
>> Great. Any probably also sets of elements of D. GrandfathersOf(x).
> 
> No.  An n-ary function always maps an n-tuple to an element of D, never
> to a set of elements of D.  Of course, if the domain of the
> interpretation includes both people and sets of people, then there is no
> problem finding a function like GrandfathersOf(x).

An n-ary predicate always maps to a set of n-tuples?

>>>> d. For each individual constant a_i of L, an assignment of some fixed
>>>> element (a_i)^M of D.  According to Wikipedia 0-ary functions are also
>>>> considered to be constants.
>>>
>>> It's the other way round.  Some authors don't bother with constants but
>>> instead permit 0-ary functions to serve the same purpose.
>>
>> OK that makes things simple.
>>
>>>> My estimate: [constants are unique elements of D]
>>>
>>>> Given such an interpretation, variables are thought of as ranging over
>>>> the set D, and ¬, ⇒ and quantifiers are given their usual
>>>> meaning. Remember that an n-place relation in D can be thought of as a
>>>> subset of D^n, the set of all n-tuples of elements of D. For example,
>>>> if D is the set of human beings, then the relation “father of” can be
>>>> identified with the set of all ordered pairs 〈x, y〉 such that x is
>>>> the father of y.
>>>>
>>>> My understanding: [if there are n human beings then there are n^2 2-tuples]
>>>>
>>>> This is where my understanding drops off.  I can't see how his
>>>> notation translates from the subset of n-tuples of D that satisfy
>>>> n-ary relation_i.
>>>
>>> First, are you ok with this informal notation of whether a formula is
>>> can be satisfied, and of whether a sentence is true or false, in some
>>> interpretation?  I ask because the technical definition is harder to
>>> understand than the idea.  You may no need to go though every technical
>>> details provided you grasp the intuitive idea.
>>
>> I think that I have a very good gist of all of the basis ideas. The
>> big correction is that a relation [end up with] a possibly empty set
>> of n-tuples instead of a Boolean.
>>
>> (3,7) ∈ Less_Than(x, y) where the domain is ℕ seems to be the way that
>> you assert: 3 < 7.
> 
> I don't know what you mean by Less_Than(x, y).

FOL does not have a "<" but it does have predicate names.

> Here's the problem.  You've skipped over what a language is, and I am
> not sure you really know, so I can't interpret what you write.  In the
> "language of arithmetic" 3 < 7, <(3, 7) and Less_Than(3, 7) are all just
> syntax for some relation.  It means nothing.  It is the interpretation
> of the language that lets us know what this relation really is.  The
> trouble is, people don't bother to distinguish because 99.9% of the time
> we are talking about the "usual interpretation" -- the domain is N and <
> is, in this interpretation, the usual order on N.  It's only when
> considering the deeper possibilities that we need to keep these
> separate.
> 

Yes like the first time that they examine the Geometric axioms without 
assuming geometric objects.

> Hence I advice against using meaningful names in the language because
> that will bind you to the possibility that there might be less obvious
> interpretations.
> 

It is better to say exactly what you mean in an unequivocal way.
An algorithm will do that to.

> Here's an example.  The usual axioms of arithmetic are entirely
> consistent with an interpretation where the domain is the negative
> integers.  To make the interpretation work, the interpretation of the
> successor function is S(x) = x-1 and the < relation (in the formal
> language) will turn out to be > on the negative integers.
> 

>>> To be sure, I would insist that a student do exercises 2.10 and 2.11.
>>> Can you do them?
>>
>> I will look at them now that you made sure my basic understading seems OK.
> <cut>
> 
>> This is where I get totally lost in the details of the encoding.
> 
> Do the exercises first.  That way I can be sure you really have a sound
> intuitive understanding of what the formal stuff is intended to pin
> down.  It's much easier to understand the next two pages if you are 100%
> sure about the informal notion of satisfiable.
> 

Yes I worked on them today. I agree that it is best that I prove my 
understanding by those two exercises.

2.10 (a)(i) The set of the product of two positive integers >= 2
(1...,2...) and (2...,1...)

2.10 (b)(i) The set of the sum of two integers = 0
(0,-1,-2...)(0,1,2...)

2.10 (c)(i) The domain is the set of all sets of integers, A^2_1(y,z) is
y ⊆ z, f^1_1(y, z) is y ∩ z, and a1 is the empty set ∅.

⊆(y ∩ z, ∅) I would think that the empty set would have no subsets.
The set of the intersection of y and z is a subset of the empty set.

// I am not sure what this: "⇒" means in this context
  ii. A^2_1(x1, x2) ⇒ A^2_1(x2, x1)
iii. (∀x1)(∀x2)(∀x3) (A^2_1(x,x2) ∧ A^2_1(x2,x3) ⇒ A^2_1(x1,x3))


-- 
Copyright 2020 Pete Olcott

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Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-18 15:31 -0500
  Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-19 03:35 +0100
    Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-19 11:37 -0500
      Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-19 11:25 -0600
        Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-19 12:46 -0500
          Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-19 11:56 -0600
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            Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-19 17:21 -0500
              Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-19 15:57 -0700
      Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-20 01:55 +0100
        Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-19 23:52 -0500
          Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-19 23:15 -0600
            Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-20 12:56 -0500
              Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-20 12:48 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Jeff Barnett <jbb@notatt.com> - 2020-07-20 14:49 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-20 21:42 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-21 10:51 -0600
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                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-21 12:12 -0600
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                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-21 19:35 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-22 09:47 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-22 09:23 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-22 10:21 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-22 13:22 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-20 18:20 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-20 18:28 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-20 21:41 -0500
              Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-20 11:59 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-20 21:44 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-20 20:03 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-21 10:49 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-21 10:47 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-21 11:54 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-21 11:01 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-21 19:54 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-21 19:23 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-22 09:23 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-22 09:11 -0600
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                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-21 11:53 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-21 11:31 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-21 20:22 -0500
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                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Kaz Kylheku <793-849-0957@kylheku.com> - 2020-07-24 16:31 +0000
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-24 12:40 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Jeff Barnett <jbb@notatt.com> - 2020-07-24 12:06 -0600
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                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-24 14:16 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Jeff Barnett <jbb@notatt.com> - 2020-07-24 14:43 -0600
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                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-24 17:45 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) David Kleinecke <dkleinecke@gmail.com> - 2020-07-24 15:57 -0700
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                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-26 10:36 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-26 10:39 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-24 20:20 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-24 14:37 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-25 00:13 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-24 19:25 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-24 12:02 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-24 23:49 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-24 18:49 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-25 02:28 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Jeff Barnett <jbb@notatt.com> - 2020-07-24 22:18 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) David Kleinecke <dkleinecke@gmail.com> - 2020-07-24 21:58 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Jeff Barnett <jbb@notatt.com> - 2020-07-25 01:46 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) David Kleinecke <dkleinecke@gmail.com> - 2020-07-25 10:31 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-25 12:04 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Jeff Barnett <jbb@notatt.com> - 2020-07-25 14:45 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-26 00:51 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Jeff Barnett <jbb@notatt.com> - 2020-07-25 22:46 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-26 12:10 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-25 22:53 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-26 20:46 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-26 16:42 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-26 15:46 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-26 22:46 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-27 00:28 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-26 17:05 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-27 02:52 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-27 00:30 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-27 00:33 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-26 22:39 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-27 14:12 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-27 12:23 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-27 23:41 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) André G. Isaak <agisaak@gm.invalid> - 2020-07-27 17:37 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-27 19:08 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) André G. Isaak <agisaak@gm.invalid> - 2020-07-27 19:57 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-27 21:14 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) André G. Isaak <agisaak@gm.invalid> - 2020-07-27 20:45 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-27 21:55 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) André G. Isaak <agisaak@gm.invalid> - 2020-07-27 22:58 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 00:07 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) André G. Isaak <agisaak@gm.invalid> - 2020-07-27 23:16 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 00:38 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) André G. Isaak <agisaak@gm.invalid> - 2020-07-28 00:05 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 10:00 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) André G. Isaak <agisaak@gm.invalid> - 2020-07-28 21:32 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 22:44 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-28 02:01 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-27 20:45 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-28 03:11 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-27 21:16 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-28 03:24 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-27 21:44 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-28 17:33 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 11:40 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 11:46 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-28 22:58 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 17:13 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-29 00:51 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 21:05 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-29 12:04 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-29 12:42 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-29 20:24 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-29 15:38 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-30 01:31 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-30 10:29 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-30 17:45 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-31 10:55 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-28 17:50 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 11:57 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-28 20:30 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 14:38 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-28 22:52 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 17:09 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-29 01:00 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 21:29 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2020-07-29 15:47 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-29 13:20 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-29 12:13 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-29 15:16 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-29 14:43 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-29 22:37 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-29 18:34 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-30 02:01 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-31 10:34 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-01 01:48 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-01 10:58 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-01 21:24 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-01 15:33 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-02 00:24 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-02 09:51 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-02 17:29 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-03 09:41 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-03 17:39 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-08-02 18:04 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) André G. Isaak <agisaak@gm.invalid> - 2020-08-01 23:19 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-29 16:33 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-29 13:31 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) David Kleinecke <dkleinecke@gmail.com> - 2020-07-29 12:02 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-29 14:57 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-29 22:47 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) David Kleinecke <dkleinecke@gmail.com> - 2020-07-29 15:33 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-29 20:50 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-29 18:51 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-30 02:38 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-31 10:36 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-01 00:47 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-01 01:30 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-01 12:55 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-01 10:45 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-01 20:28 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-01 15:10 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-02 00:11 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-02 09:43 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-02 17:20 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-03 09:39 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-03 17:46 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-30 00:28 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 23:31 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-29 16:43 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-29 14:02 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-30 00:36 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-29 21:44 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) André G. Isaak <agisaak@gm.invalid> - 2020-07-29 21:50 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) André G. Isaak <agisaak@gm.invalid> - 2020-07-29 21:55 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-31 10:48 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-31 12:45 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-31 14:55 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-31 13:13 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-31 16:16 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) David Kleinecke <dkleinecke@gmail.com> - 2020-07-31 14:42 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-31 18:16 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-31 14:44 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Jeff Barnett <jbb@notatt.com> - 2020-07-31 14:02 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) André G. Isaak <agisaak@gm.invalid> - 2020-07-31 17:58 -0600
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-31 22:33 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-31 10:43 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-30 13:39 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-31 10:51 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-01 00:58 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-01 10:52 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-01 21:02 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-02 09:28 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-02 17:45 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-03 09:46 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-08-03 17:46 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-08-03 13:22 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Andy Walker <anw@cuboid.co.uk> - 2020-07-30 20:35 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) David Kleinecke <dkleinecke@gmail.com> - 2020-07-30 12:57 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-30 17:20 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Andy Walker <anw@cuboid.co.uk> - 2020-07-30 23:24 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) David Kleinecke <dkleinecke@gmail.com> - 2020-07-30 16:30 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Andy Walker <anw@cuboid.co.uk> - 2020-07-31 01:31 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) David Kleinecke <dkleinecke@gmail.com> - 2020-07-30 20:36 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-31 00:12 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-30 20:41 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-30 17:10 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) David Kleinecke <dkleinecke@gmail.com> - 2020-07-30 16:31 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-30 20:50 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) David Kleinecke <dkleinecke@gmail.com> - 2020-07-30 20:40 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-31 01:34 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-28 10:41 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 12:51 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Kaz Kylheku <793-849-0957@kylheku.com> - 2020-07-28 08:23 +0000
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-28 09:20 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-26 13:00 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-26 22:45 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-27 16:17 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-27 23:51 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-26 22:46 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) olcott <NoOne@NoWhere.com> - 2020-07-27 17:14 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-28 00:22 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-24 15:57 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-25 00:03 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-24 19:10 -0500

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