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

Path	csiph.com!eternal-september.org!feeder.eternal-september.org!reader01.eternal-september.org!.POSTED!not-for-mail
From	Ben Bacarisse <ben.usenet@bsb.me.uk>
Newsgroups	comp.theory
Subject	Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability)
Date	Sat, 25 Jul 2020 02:28:01 +0100
Organization	A noiseless patient Spider
Lines	222
Message-ID	<877dusjsda.fsf@bsb.me.uk> (permalink)
References	<Bf2dnacH3PC-wY7CnZ2dnUU7-VnNnZ2d@giganews.com> <871rl8dyg1.fsf@bsb.me.uk> <HvCdndl7NIZX64nCnZ2dnUU7-QXNnZ2d@giganews.com> <87lfjfovhm.fsf@bsb.me.uk> <qIidnXkfB8htv4jCnZ2dnUU7-YHNnZ2d@giganews.com> <87zh7tok63.fsf@bsb.me.uk> <6MednYs8F9v7qYvCnZ2dnUU7-R3NnZ2d@giganews.com> <87lfjcmg9p.fsf@bsb.me.uk> <ntCdnWze3_XLxYXCnZ2dnUU7-QvNnZ2d@giganews.com> <87tuxzkswv.fsf@bsb.me.uk> <fJqdnUz0O-u4iYbCnZ2dnUU7-aHNnZ2d@giganews.com> <87zh7ojzp8.fsf@bsb.me.uk> <Zd6dnViKxvw77obCnZ2dnUU7-fnNnZ2d@giganews.com>
Mime-Version	1.0
Content-Type	text/plain; charset=utf-8
Content-Transfer-Encoding	8bit
Injection-Info	reader02.eternal-september.org; posting-host="99b2ba49822eaab1aff7a712df6ae54a"; logging-data="31806"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+7XgEdLnVjfCNg7eLYTmJHZ+mR8RWO5jQ="
Cancel-Lock	sha1:+6VRwKcsQasHLwAzDtgoofurXac= sha1:mTmoM+ooTxcYlvzkK1RM29IbHHI=
X-BSB-Auth	1.500376ed13a61687fc3c.20200725022801BST.877dusjsda.fsf@bsb.me.uk
Xref	csiph.com comp.theory:21925

Show key headers only | View raw

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.

>>> 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.

> 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.
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.

> 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.

>>> 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.

>> 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"'.

>> 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).

>>> 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).

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.

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.

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.

-- 
Ben.

Back to comp.theory | Previous | Next — Previous in thread | Next in thread | Find similar

Thread

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
            Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-19 13:50 -0500
              Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) André G. Isaak <agisaak@gm.invalid> - 2020-07-19 14:06 -0600
          Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-19 13:39 -0700
            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
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-21 12:02 -0500
                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
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-21 20:09 -0500
                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
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-22 17:02 +0100
                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
          Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-21 00:12 +0100
            Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-20 19:18 -0500
              Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-22 03:32 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Kaz Kylheku <793-849-0957@kylheku.com> - 2020-07-22 05:39 +0000
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-22 10:16 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-23 00:54 +0100
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-23 21:12 -0500
                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
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-24 13:26 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-24 11:38 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-24 14:05 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-24 12:33 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-24 14:42 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Kaz Kylheku <793-849-0957@kylheku.com> - 2020-07-26 15:05 +0000
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2020-07-24 19:57 +0100
                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
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-24 16:00 -0500
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) David Kleinecke <dkleinecke@gmail.com> - 2020-07-24 15:38 -0700
                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
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-24 16:11 -0700
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2020-07-24 15:52 -0700
                Re: Simply defining G"odel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) R Kym Horsell <kym@kymhorsell.com> - 2020-07-24 19:02 +0000
                Re: Simply defining Gödel Incompleteness and Tarski Undefinability away V31 (Semantically Incorrect Defined) olcott <NoOne@NoWhere.com> - 2020-07-26 10:27 -0500
                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

csiph-web