• Re: Olcott thesis: Every element of the body of knowledge that can beexpressed in language can be expressed as relations between finite strings

    From =?UTF-8?B?QW5kcsOpIEcuIElzYWFr?=@agisaak@gm.invalid to comp.theory on Fri Jun 19 17:42:07 2026
    From Newsgroup: comp.theory

    On 2026-06-19 12:13, olcott wrote:
    On 6/14/2026 7:52 AM, Tristan Wibberley wrote:
    On 12/05/2026 14:59, olcott wrote:
    Olcott thesis: Every element of the body of knowledge
    that can be expressed in language can be expressed as
    relations between finite strings.

    I propose that a concrete counter example to this these
    is categorically impossible.


    Do you mean a counterexample cannot be "constructed" even when a
    constraint on such could be?


    I avoid terms-of-the-art because they can be misleading.
    knowledge expressed in language is atomic ideas expressed
    in language connected together semantically.

    This is an extremely peculiar position to take.

    The entire reason we have terms of the art is that they, unlike
    colloquial English, are precisely defined within a given field and admit
    no ambiguity.

    The real reason, I suspect, why you avoid terms of the art is because
    you can't be bothered to actually learn what they mean, and instead try
    to invent your own meaning "compositionally" (as you've said on several occasions). What you fail to understand is that language isn't
    interpreted compositionally; rather, *some* language is interpreted compositionally.

    André
    --
    To email remove 'invalid' & replace 'gm' with well known Google mail
    service.

    --- Synchronet 3.22a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to comp.theory,sci.logic,sci.math,sci.math.symbolic on Fri Jun 19 19:15:32 2026
    From Newsgroup: comp.theory

    On 6/19/2026 6:42 PM, André G. Isaak wrote:
    On 2026-06-19 12:13, olcott wrote:
    On 6/14/2026 7:52 AM, Tristan Wibberley wrote:
    On 12/05/2026 14:59, olcott wrote:
    Olcott thesis: Every element of the body of knowledge
    that can be expressed in language can be expressed as
    relations between finite strings.

    I propose that a concrete counter example to this these
    is categorically impossible.


    Do you mean a counterexample cannot be "constructed" even when a
    constraint on such could be?


    I avoid terms-of-the-art because they can be misleading.
    knowledge expressed in language is atomic ideas expressed
    in language connected together semantically.

    This is an extremely peculiar position to take.

    The entire reason we have terms of the art is that they, unlike
    colloquial English, are precisely defined within a given field and admit
    no ambiguity.

    The real reason, I suspect, why you avoid terms of the art is because
    you can't be bothered to actually learn what they mean, and instead try
    to invent your own meaning "compositionally" (as you've said on several occasions). What you fail to understand is that language isn't
    interpreted compositionally; rather, *some* language is interpreted compositionally.

    André


    Here are some terms-of-the-art that make perfect sense:
    Ever since 2016 PTS has been anchored in Horn Clauses
    thus not limited to logical constants.
    --
    Copyright 2026 Olcott

    My 28 year goal has been to make
    "true on the basis of meaning expressed in language"
    reliably computable for the entire body of knowledge.
    The complete structure of this system is now defined.

    The entire body of knowledge expressed in language is
    comprised of two types of relations between finite strings:
    (a) *Axioms* Expressions of language that are stipulated to be true.

    My system bridges the analytic/synthetic distinction by
    expressly encoding all empirical "atomic facts" in a formal
    language such as CycL of the Cyc project.

    (b) *Inference Rules* Expressions of language that are semantically
    entailed syntactically from (a) and/or (b).
    --- Synchronet 3.22a-Linux NewsLink 1.2
  • From =?UTF-8?B?QW5kcsOpIEcuIElzYWFr?=@agisaak@gm.invalid to comp.theory on Fri Jun 19 19:31:30 2026
    From Newsgroup: comp.theory

    On 2026-06-19 18:15, olcott wrote:
    On 6/19/2026 6:42 PM, André G. Isaak wrote:
    On 2026-06-19 12:13, olcott wrote:
    On 6/14/2026 7:52 AM, Tristan Wibberley wrote:
    On 12/05/2026 14:59, olcott wrote:
    Olcott thesis: Every element of the body of knowledge
    that can be expressed in language can be expressed as
    relations between finite strings.

    I propose that a concrete counter example to this these
    is categorically impossible.


    Do you mean a counterexample cannot be "constructed" even when a
    constraint on such could be?


    I avoid terms-of-the-art because they can be misleading.
    knowledge expressed in language is atomic ideas expressed
    in language connected together semantically.

    This is an extremely peculiar position to take.

    The entire reason we have terms of the art is that they, unlike
    colloquial English, are precisely defined within a given field and
    admit no ambiguity.

    The real reason, I suspect, why you avoid terms of the art is because
    you can't be bothered to actually learn what they mean, and instead
    try to invent your own meaning "compositionally" (as you've said on
    several occasions). What you fail to understand is that language isn't
    interpreted compositionally; rather, *some* language is interpreted
    compositionally.

    André


    Here are some terms-of-the-art that make perfect sense:
    Ever since 2016 PTS has been anchored in Horn Clauses
    thus not limited to logical constants.

    Yes, those are terms of the art that make perfect sense.

    Exactly how this relates to my post or what your actual point is escapes
    me. Connect the dots for me.

    André
    --
    To email remove 'invalid' & replace 'gm' with well known Google mail
    service.

    --- Synchronet 3.22a-Linux NewsLink 1.2
  • From Mikko@mikko.levanto@iki.fi to comp.theory on Sat Jun 20 10:46:10 2026
    From Newsgroup: comp.theory

    On 20/06/2026 02:42, André G. Isaak wrote:
    On 2026-06-19 12:13, olcott wrote:
    On 6/14/2026 7:52 AM, Tristan Wibberley wrote:
    On 12/05/2026 14:59, olcott wrote:
    Olcott thesis: Every element of the body of knowledge
    that can be expressed in language can be expressed as
    relations between finite strings.

    I propose that a concrete counter example to this these
    is categorically impossible.


    Do you mean a counterexample cannot be "constructed" even when a
    constraint on such could be?


    I avoid terms-of-the-art because they can be misleading.
    knowledge expressed in language is atomic ideas expressed
    in language connected together semantically.

    This is an extremely peculiar position to take.

    The entire reason we have terms of the art is that they, unlike
    colloquial English, are precisely defined within a given field and admit
    no ambiguity.

    Which is a good reason to avoid them when one needs ambiguity for
    deception.
    --
    Mikko
    --- Synchronet 3.22a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to comp.theory,sci.logic,sci.math,sci.math.symbolic on Sat Jun 20 09:37:15 2026
    From Newsgroup: comp.theory

    On 6/20/2026 2:46 AM, Mikko wrote:
    On 20/06/2026 02:42, André G. Isaak wrote:
    On 2026-06-19 12:13, olcott wrote:
    On 6/14/2026 7:52 AM, Tristan Wibberley wrote:
    On 12/05/2026 14:59, olcott wrote:
    Olcott thesis: Every element of the body of knowledge
    that can be expressed in language can be expressed as
    relations between finite strings.

    I propose that a concrete counter example to this these
    is categorically impossible.


    Do you mean a counterexample cannot be "constructed" even when a
    constraint on such could be?


    I avoid terms-of-the-art because they can be misleading.
    knowledge expressed in language is atomic ideas expressed
    in language connected together semantically.

    This is an extremely peculiar position to take.

    The entire reason we have terms of the art is that they, unlike
    colloquial English, are precisely defined within a given field and
    admit no ambiguity.

    Which is a good reason to avoid them when one needs ambiguity for
    deception.


    When reverse-engineering a brand new foundation for
    mathematics one derives all kinds of new meanings
    that have no associated terms.

    Now that my reverse-engineering process it finally
    complete and finally has a common basis I can start
    using terms-of-the-art.

    A "well founded justification tree" is probably the
    most important idea in Proof Theoretic Semantics yet
    PTS itself has a jumble of different terms referring
    to this idea that vary by author with no unified term.
    I collected them all together yesterday.
    --
    Copyright 2026 Olcott

    My 28 year goal has been to make
    "true on the basis of meaning expressed in language"
    reliably computable for the entire body of knowledge.
    The complete structure of this system is now defined.

    The entire body of knowledge expressed in language is
    comprised of two types of relations between finite strings:
    (a) *Axioms* Expressions of language that are stipulated to be true.

    My system bridges the analytic/synthetic distinction by
    expressly encoding all empirical "atomic facts" in a formal
    language such as CycL of the Cyc project.

    (b) *Inference Rules* Expressions of language that are semantically
    entailed syntactically from (a) and/or (b).
    --- Synchronet 3.22a-Linux NewsLink 1.2
  • From Mikko@mikko.levanto@iki.fi to comp.theory,sci.logic,sci.math,sci.math.symbolic on Sun Jun 21 12:32:23 2026
    From Newsgroup: comp.theory

    On 20/06/2026 17:37, olcott wrote:
    On 6/20/2026 2:46 AM, Mikko wrote:
    On 20/06/2026 02:42, André G. Isaak wrote:
    On 2026-06-19 12:13, olcott wrote:
    On 6/14/2026 7:52 AM, Tristan Wibberley wrote:
    On 12/05/2026 14:59, olcott wrote:
    Olcott thesis: Every element of the body of knowledge
    that can be expressed in language can be expressed as
    relations between finite strings.

    I propose that a concrete counter example to this these
    is categorically impossible.

    Do you mean a counterexample cannot be "constructed" even when a
    constraint on such could be?

    I avoid terms-of-the-art because they can be misleading.
    knowledge expressed in language is atomic ideas expressed
    in language connected together semantically.

    This is an extremely peculiar position to take.

    The entire reason we have terms of the art is that they, unlike
    colloquial English, are precisely defined within a given field and
    admit no ambiguity.

    Which is a good reason to avoid them when one needs ambiguity for
    deception.

    When reverse-engineering a brand new foundation for
    mathematics one derives all kinds of new meanings
    that have no associated terms.

    Now that my reverse-engineering process it finally
    complete and finally has a common basis I can start
    using terms-of-the-art.

    A "well founded justification tree" is probably the
    most important idea in Proof Theoretic Semantics yet
    PTS itself has a jumble of different terms referring
    to this idea that vary by author with no unified term.
    I collected them all together yesterday.

    Nice to see that you don't disagree.
    --
    Mikko
    --- Synchronet 3.22a-Linux NewsLink 1.2