• Undecidability based on epistemological antinomies

    From olcott@polcott333@gmail.com to sci.logic,comp.theory on Wed Apr 17 14:27:54 2024
    From Newsgroup: comp.theory

    ...14 Every epistemological antinomy can likewise be used for a similar undecidability proof...(Gödel 1931:43-44)

    *I will paraphrase his quote using the simplest terms*

    Every expression X that cannot possibly be true or false proves that
    there is something wrong with a formal system that cannot correctly
    determine whether X is true or false.
    --
    Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
    hits a target no one else can see." Arthur Schopenhauer
    --- Synchronet 3.20a-Linux NewsLink 1.114
  • From Ross Finlayson@ross.a.finlayson@gmail.com to sci.logic,comp.theory on Wed Apr 17 13:07:31 2024
    From Newsgroup: comp.theory

    On 04/17/2024 12:27 PM, olcott wrote:
    ...14 Every epistemological antinomy can likewise be used for a similar undecidability proof...(Gödel 1931:43-44)

    *I will paraphrase his quote using the simplest terms*

    Every expression X that cannot possibly be true or false proves that
    there is something wrong with a formal system that cannot correctly
    determine whether X is true or false.



    I like to read it more as Mirimanoff and the extra-ordinary.

    In the early 20'th century, Mirimanoff was very influential in
    what became set theory. He was very well-known in the small circle
    that is the usual introduction, and should be more, today.

    Regularity, a usual ruliality, as Well-Foundedness, has a
    delicate interplay and contraposition with Well-Orderedness,
    both regular and rulial, yet in the infinite, that the
    antinomies sort of make for that for arithmetic, that
    both increment is an operator, and division is an operator,
    and while they join as they come together in the field,
    in the modular, they represent yet opposite concerns.

    So, Mirimanoff's extra-ordinary, is another way to look
    at Goedel's incompleteness, that the truths about the
    objects, i.e. their proofs or models, do have an
    extra-ordinary existence, arising from the resolution
    of what would otherwise be the contradiction, the paradox,
    making for why Goedel's result is as well that there
    _is_ an extra-ordinary infinity, plainly courtesy the mind,
    and simple ponderance of alternatives in quantifiers
    and the basis of fundamental logic.

    So, it's not "wrong", instead, it's "better".

    I like to think of it this way as I am entirely pleased
    about it and it very well follows from what I've studied
    of the development of the canon of logic as it was and is,
    and, will be.


    Warm regards, E.S., bonjour,


    --
    https://www.youtube.com/@rossfinlayson

    --- Synchronet 3.20a-Linux NewsLink 1.114
  • From olcott@polcott333@gmail.com to sci.logic,comp.theory on Wed Apr 17 15:59:16 2024
    From Newsgroup: comp.theory

    On 4/17/2024 3:07 PM, Ross Finlayson wrote:
    On 04/17/2024 12:27 PM, olcott wrote:
    ...14 Every epistemological antinomy can likewise be used for a similar
    undecidability proof...(Gödel 1931:43-44)

    *I will paraphrase his quote using the simplest terms*

    Every expression X that cannot possibly be true or false proves that
    there is something wrong with a formal system that cannot correctly
    determine whether X is true or false.



    I like to read it more as Mirimanoff and the extra-ordinary.

    In the early 20'th century, Mirimanoff was very influential in
    what became set theory.  He was very well-known in the small circle
    that is the usual introduction, and should be more, today.

    Regularity, a usual ruliality, as Well-Foundedness, has a
    delicate interplay and contraposition with Well-Orderedness,
    both regular and rulial, yet in the infinite, that the
    antinomies sort of make for that for arithmetic, that
    both increment is an operator, and division is an operator,
    and while they join as they come together in the field,
    in the modular, they represent yet opposite concerns.

    So, Mirimanoff's extra-ordinary, is another way to look
    at Goedel's incompleteness, that the truths about the
    objects, i.e. their proofs or models, do have an
    extra-ordinary existence, arising from the resolution
    of what would otherwise be the contradiction, the paradox,
    making for why Goedel's result is as well that there
    _is_ an extra-ordinary infinity, plainly courtesy the mind,
    and simple ponderance of alternatives in quantifiers
    and the basis of fundamental logic.

    So, it's not "wrong", instead, it's "better".

    I like to think of it this way as I am entirely pleased
    about it and it very well follows from what I've studied
    of the development of the canon of logic as it was and is,
    and, will be.


    Warm regards, E.S., bonjour,



    I am interested in foundations of logic only so that that I can derive
    the generic notion of correct reasoning for the purpose of practical application in daily life.

    For example the claim that election fraud changed the outcome of the
    2020 presidential election could be understood as untrue as if it was
    an error in arithmetic.

    Only because humans have a very terribly abysmal understanding of
    the notion of truth is propaganda based on the Nazi model possible.

    The Tarski Undefinability theorem seems to support Nazi propaganda
    in that it seems to cause all of the world's best experts to uniformly
    agree that no one can ever possibly accurately specify exactly what
    True(L,x) really is.

    If we cannot ever accurately know what truth is then we can never
    consistently correctly divide truth from dangerous lies. This is
    currently having horrific consequences.

    --
    https://www.youtube.com/@rossfinlayson

    --
    Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
    hits a target no one else can see." Arthur Schopenhauer

    --- Synchronet 3.20a-Linux NewsLink 1.114
  • From Richard Damon@richard@damon-family.org to sci.logic,comp.theory on Wed Apr 17 18:42:45 2024
    From Newsgroup: comp.theory

    On 4/17/24 3:27 PM, olcott wrote:
    ...14 Every epistemological antinomy can likewise be used for a similar undecidability proof...(Gödel 1931:43-44)

    *I will paraphrase his quote using the simplest terms*

    Every expression X that cannot possibly be true or false proves that
    there is something wrong with a formal system that cannot correctly
    determine whether X is true or false.



    Nope, that is NOT what he means, and shows your utter misunderstanding
    of the logic.

    Your WHOLE logic system is just based on STRAWMWN like this, which show
    that you idea about "correct reasoning" are not correct, and are not
    actually based on actual reasoning.

    This has been pointed out to you, and your continued repeating them just
    shows your complete stupidity, and that you are nothing but a pitiful hypocritical pathologically liar.
    --- Synchronet 3.20a-Linux NewsLink 1.114
  • From Richard Damon@richard@damon-family.org to sci.logic,comp.theory on Wed Apr 17 18:48:38 2024
    From Newsgroup: comp.theory

    On 4/17/24 4:59 PM, olcott wrote:
    On 4/17/2024 3:07 PM, Ross Finlayson wrote:
    On 04/17/2024 12:27 PM, olcott wrote:
    ...14 Every epistemological antinomy can likewise be used for a similar
    undecidability proof...(Gödel 1931:43-44)

    *I will paraphrase his quote using the simplest terms*

    Every expression X that cannot possibly be true or false proves that
    there is something wrong with a formal system that cannot correctly
    determine whether X is true or false.



    I like to read it more as Mirimanoff and the extra-ordinary.

    In the early 20'th century, Mirimanoff was very influential in
    what became set theory.  He was very well-known in the small circle
    that is the usual introduction, and should be more, today.

    Regularity, a usual ruliality, as Well-Foundedness, has a
    delicate interplay and contraposition with Well-Orderedness,
    both regular and rulial, yet in the infinite, that the
    antinomies sort of make for that for arithmetic, that
    both increment is an operator, and division is an operator,
    and while they join as they come together in the field,
    in the modular, they represent yet opposite concerns.

    So, Mirimanoff's extra-ordinary, is another way to look
    at Goedel's incompleteness, that the truths about the
    objects, i.e. their proofs or models, do have an
    extra-ordinary existence, arising from the resolution
    of what would otherwise be the contradiction, the paradox,
    making for why Goedel's result is as well that there
    _is_ an extra-ordinary infinity, plainly courtesy the mind,
    and simple ponderance of alternatives in quantifiers
    and the basis of fundamental logic.

    So, it's not "wrong", instead, it's "better".

    I like to think of it this way as I am entirely pleased
    about it and it very well follows from what I've studied
    of the development of the canon of logic as it was and is,
    and, will be.


    Warm regards, E.S., bonjour,



    I am interested in foundations of logic only so that that I can derive
    the generic notion of correct reasoning for the purpose of practical application in daily life.

    For example the claim that election fraud changed the outcome of the
    2020 presidential election could be understood as untrue as if it was
    an error in arithmetic.

    No, the Truth or Falsehood of that statement would be based on looking
    at the ACTUAL OBSERVATION of how much "fraud" could be shown to exist,
    that isn't something determined by "analytical logic" but by forensic investigation, by OBSERVATION. (just the opposite of what you try to claim).


    Only because humans have a very terribly abysmal understanding of
    the notion of truth is propaganda based on the Nazi model possible.

    No, it is based on people beleiving propaganda over facts.


    The Tarski Undefinability theorem seems to support Nazi propaganda
    in that it seems to cause all of the world's best experts to uniformly
    agree that no one can ever possibly accurately specify exactly what
    True(L,x) really is.


    Nope, but YOUR claim would be more of a support for that then his.



    If we cannot ever accurately know what truth is then we can never consistently correctly divide truth from dangerous lies. This is
    currently having horrific consequences.

    But that isn't what Tarsli said, but your claim is exactly what the
    people you try to decry use.

    Your logic is based on LYING, so it actually PROMOTES the lies that you
    claim to be fighting.

    YOUR ignoring of the actual facts presented to you validates the
    ignoring of the facts by those that you claim to be fighting.



    --
    https://www.youtube.com/@rossfinlayson



    --- Synchronet 3.20a-Linux NewsLink 1.114
  • From olcott@polcott333@gmail.com to sci.logic,comp.theory on Wed Apr 17 19:24:26 2024
    From Newsgroup: comp.theory

    On 4/17/2024 5:48 PM, Richard Damon wrote:
    On 4/17/24 4:59 PM, olcott wrote:
    On 4/17/2024 3:07 PM, Ross Finlayson wrote:
    On 04/17/2024 12:27 PM, olcott wrote:
    ...14 Every epistemological antinomy can likewise be used for a similar >>>> undecidability proof...(Gödel 1931:43-44)

    *I will paraphrase his quote using the simplest terms*

    Every expression X that cannot possibly be true or false proves that
    there is something wrong with a formal system that cannot correctly
    determine whether X is true or false.



    I like to read it more as Mirimanoff and the extra-ordinary.

    In the early 20'th century, Mirimanoff was very influential in
    what became set theory.  He was very well-known in the small circle
    that is the usual introduction, and should be more, today.

    Regularity, a usual ruliality, as Well-Foundedness, has a
    delicate interplay and contraposition with Well-Orderedness,
    both regular and rulial, yet in the infinite, that the
    antinomies sort of make for that for arithmetic, that
    both increment is an operator, and division is an operator,
    and while they join as they come together in the field,
    in the modular, they represent yet opposite concerns.

    So, Mirimanoff's extra-ordinary, is another way to look
    at Goedel's incompleteness, that the truths about the
    objects, i.e. their proofs or models, do have an
    extra-ordinary existence, arising from the resolution
    of what would otherwise be the contradiction, the paradox,
    making for why Goedel's result is as well that there
    _is_ an extra-ordinary infinity, plainly courtesy the mind,
    and simple ponderance of alternatives in quantifiers
    and the basis of fundamental logic.

    So, it's not "wrong", instead, it's "better".

    I like to think of it this way as I am entirely pleased
    about it and it very well follows from what I've studied
    of the development of the canon of logic as it was and is,
    and, will be.


    Warm regards, E.S., bonjour,



    I am interested in foundations of logic only so that that I can derive
    the generic notion of correct reasoning for the purpose of practical
    application in daily life.

    For example the claim that election fraud changed the outcome of the
    2020 presidential election could be understood as untrue as if it was
    an error in arithmetic.

    No, the Truth or Falsehood of that statement would be based on looking
    at the ACTUAL OBSERVATION of how much "fraud" could be shown to exist,
    that isn't something determined by "analytical logic" but by forensic investigation, by OBSERVATION. (just the opposite of what you try to
    claim).


    Although that is correct the problem is that 45% of the electorate
    do not understand that is correct.

    When we have a formal system that can explain how and why that is
    correct in a quadrillion different ways at every language and
    education level, responding to every social media post in real time relentlessly then we will have the resources required.

    Currently most of the experts seems to agree that True(L, x)
    cannot possibly be consistently and coherently defined thus
    there is no objectively discernible difference between verified
    facts and dangerous lies.



    Only because humans have a very terribly abysmal understanding of
    the notion of truth is propaganda based on the Nazi model possible.

    No, it is based on people beleiving propaganda over facts.


    The Tarski Undefinability theorem seems to support Nazi propaganda
    in that it seems to cause all of the world's best experts to uniformly
    agree that no one can ever possibly accurately specify exactly what
    True(L,x) really is.


    Nope, but YOUR claim would be more of a support for that then his.



    If we cannot ever accurately know what truth is then we can never
    consistently correctly divide truth from dangerous lies. This is
    currently having horrific consequences.

    But that isn't what Tarsli said, but your claim is exactly what the
    people you try to decry use.

    Your logic is based on LYING, so it actually PROMOTES the lies that you claim to be fighting.

    YOUR ignoring of the actual facts presented to you validates the
    ignoring of the facts by those that you claim to be fighting.



    --
    https://www.youtube.com/@rossfinlayson



    --
    Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
    hits a target no one else can see." Arthur Schopenhauer

    --- Synchronet 3.20a-Linux NewsLink 1.114
  • From Richard Damon@richard@damon-family.org to sci.logic,comp.theory on Wed Apr 17 20:48:38 2024
    From Newsgroup: comp.theory

    On 4/17/24 8:24 PM, olcott wrote:
    On 4/17/2024 5:48 PM, Richard Damon wrote:
    On 4/17/24 4:59 PM, olcott wrote:
    On 4/17/2024 3:07 PM, Ross Finlayson wrote:
    On 04/17/2024 12:27 PM, olcott wrote:
    ...14 Every epistemological antinomy can likewise be used for a
    similar
    undecidability proof...(Gödel 1931:43-44)

    *I will paraphrase his quote using the simplest terms*

    Every expression X that cannot possibly be true or false proves that >>>>> there is something wrong with a formal system that cannot correctly
    determine whether X is true or false.



    I like to read it more as Mirimanoff and the extra-ordinary.

    In the early 20'th century, Mirimanoff was very influential in
    what became set theory.  He was very well-known in the small circle
    that is the usual introduction, and should be more, today.

    Regularity, a usual ruliality, as Well-Foundedness, has a
    delicate interplay and contraposition with Well-Orderedness,
    both regular and rulial, yet in the infinite, that the
    antinomies sort of make for that for arithmetic, that
    both increment is an operator, and division is an operator,
    and while they join as they come together in the field,
    in the modular, they represent yet opposite concerns.

    So, Mirimanoff's extra-ordinary, is another way to look
    at Goedel's incompleteness, that the truths about the
    objects, i.e. their proofs or models, do have an
    extra-ordinary existence, arising from the resolution
    of what would otherwise be the contradiction, the paradox,
    making for why Goedel's result is as well that there
    _is_ an extra-ordinary infinity, plainly courtesy the mind,
    and simple ponderance of alternatives in quantifiers
    and the basis of fundamental logic.

    So, it's not "wrong", instead, it's "better".

    I like to think of it this way as I am entirely pleased
    about it and it very well follows from what I've studied
    of the development of the canon of logic as it was and is,
    and, will be.


    Warm regards, E.S., bonjour,



    I am interested in foundations of logic only so that that I can derive
    the generic notion of correct reasoning for the purpose of practical
    application in daily life.

    For example the claim that election fraud changed the outcome of the
    2020 presidential election could be understood as untrue as if it was
    an error in arithmetic.

    No, the Truth or Falsehood of that statement would be based on looking
    at the ACTUAL OBSERVATION of how much "fraud" could be shown to exist,
    that isn't something determined by "analytical logic" but by forensic
    investigation, by OBSERVATION. (just the opposite of what you try to
    claim).


    Although that is correct the problem is that 45% of the electorate
    do not understand that is correct.

    And thus, your arguement does nothing to fix the actual problem.


    When we have a formal system that can explain how and why that is
    correct in a quadrillion different ways at every language and
    education level, responding to every social media post in real time relentlessly then we will have the resources required.

    Except that the key isn't what a formal system can show, as the key is
    the basic evidence, that would need to be the axioms of the formal system.


    Currently most of the experts seems to agree that True(L, x)
    cannot possibly be consistently and coherently defined thus
    there is no objectively discernible difference between verified
    facts and dangerous lies.


    Nope. That is just a stupid lie.

    True(L, x) as a predicate of logic can not be defined.

    That does NOT say we can not objectived define what is true and what is
    false, it says that there exist a few (and generally unusual) statements
    that we csn not determine if they meet the definition of True or False.

    The PROPERTY of Truth has a firm definition, what can't be defined is
    the PREDICATE.

    Your stupidity that can't understand the difference just illustrates the problem.

    You yourelf beleive your own lies and refuse to look at the actual
    truth, just like the people you complain about.

    YOU prove the difficulty of the problem, by being the poster child of it.




    Only because humans have a very terribly abysmal understanding of
    the notion of truth is propaganda based on the Nazi model possible.

    No, it is based on people beleiving propaganda over facts.


    The Tarski Undefinability theorem seems to support Nazi propaganda
    in that it seems to cause all of the world's best experts to uniformly
    agree that no one can ever possibly accurately specify exactly what
    True(L,x) really is.


    Nope, but YOUR claim would be more of a support for that then his.



    If we cannot ever accurately know what truth is then we can never
    consistently correctly divide truth from dangerous lies. This is
    currently having horrific consequences.

    But that isn't what Tarsli said, but your claim is exactly what the
    people you try to decry use.

    Your logic is based on LYING, so it actually PROMOTES the lies that
    you claim to be fighting.

    YOUR ignoring of the actual facts presented to you validates the
    ignoring of the facts by those that you claim to be fighting.



    --
    https://www.youtube.com/@rossfinlayson





    --- Synchronet 3.20a-Linux NewsLink 1.114
  • From olcott@polcott333@gmail.com to sci.logic,comp.theory on Wed Apr 17 20:45:12 2024
    From Newsgroup: comp.theory

    On 4/17/2024 7:48 PM, Richard Damon wrote:
    On 4/17/24 8:24 PM, olcott wrote:
    On 4/17/2024 5:48 PM, Richard Damon wrote:
    On 4/17/24 4:59 PM, olcott wrote:
    On 4/17/2024 3:07 PM, Ross Finlayson wrote:
    On 04/17/2024 12:27 PM, olcott wrote:
    ...14 Every epistemological antinomy can likewise be used for a
    similar
    undecidability proof...(Gödel 1931:43-44)

    *I will paraphrase his quote using the simplest terms*

    Every expression X that cannot possibly be true or false proves that >>>>>> there is something wrong with a formal system that cannot correctly >>>>>> determine whether X is true or false.



    I like to read it more as Mirimanoff and the extra-ordinary.

    In the early 20'th century, Mirimanoff was very influential in
    what became set theory.  He was very well-known in the small circle >>>>> that is the usual introduction, and should be more, today.

    Regularity, a usual ruliality, as Well-Foundedness, has a
    delicate interplay and contraposition with Well-Orderedness,
    both regular and rulial, yet in the infinite, that the
    antinomies sort of make for that for arithmetic, that
    both increment is an operator, and division is an operator,
    and while they join as they come together in the field,
    in the modular, they represent yet opposite concerns.

    So, Mirimanoff's extra-ordinary, is another way to look
    at Goedel's incompleteness, that the truths about the
    objects, i.e. their proofs or models, do have an
    extra-ordinary existence, arising from the resolution
    of what would otherwise be the contradiction, the paradox,
    making for why Goedel's result is as well that there
    _is_ an extra-ordinary infinity, plainly courtesy the mind,
    and simple ponderance of alternatives in quantifiers
    and the basis of fundamental logic.

    So, it's not "wrong", instead, it's "better".

    I like to think of it this way as I am entirely pleased
    about it and it very well follows from what I've studied
    of the development of the canon of logic as it was and is,
    and, will be.


    Warm regards, E.S., bonjour,



    I am interested in foundations of logic only so that that I can derive >>>> the generic notion of correct reasoning for the purpose of practical
    application in daily life.

    For example the claim that election fraud changed the outcome of the
    2020 presidential election could be understood as untrue as if it was
    an error in arithmetic.

    No, the Truth or Falsehood of that statement would be based on
    looking at the ACTUAL OBSERVATION of how much "fraud" could be shown
    to exist, that isn't something determined by "analytical logic" but
    by forensic investigation, by OBSERVATION. (just the opposite of what
    you try to claim).


    Although that is correct the problem is that 45% of the electorate
    do not understand that is correct.

    And thus, your arguement does nothing to fix the actual problem.


    When we have a formal system that can explain how and why that is
    correct in a quadrillion different ways at every language and
    education level, responding to every social media post in real time
    relentlessly then we will have the resources required.

    Except that the key isn't what a formal system can show, as the key is
    the basic evidence, that would need to be the axioms of the formal system.


    The "axioms" of the formal system would be an an accurate model of the
    current actual world. Such a system would hypothetically be aware of
    every single detail of evidence that there was woefully insufficient
    evidence of election fraud that could have possibly changed the
    outcome of the 2020 presidential election.

    It would know an fully understand every single word that was
    publicly stated about election fraud this includes every single
    word that anyone ever said in of the election fraud curt cases.

    It would be able to very easily reverse-engineer every subtle
    nuance of a detail of exactly how Hitler's "big lie" model
    was applied.


    Currently most of the experts seems to agree that True(L, x)
    cannot possibly be consistently and coherently defined thus
    there is no objectively discernible difference between verified
    facts and dangerous lies.


    Nope. That is just a stupid lie.


    Notice the keyword "consistently" that means 100% of ALL
    the time in every single case.

    True(L, x) as a predicate of logic can not be defined.

    That does NOT say we can not objectived define what is true and what is false, it says that there exist a few (and generally unusual) statements that we csn not determine if they meet the definition of True or False.


    Thus not "consistently" 100% of ALL the time in every single case, just
    like I said. I have a friend with an actual 143 IQ that is completely
    certain that the Earth is flat.

    Too many people do not understand the difference between reasonably
    plausible and unreasonably implausible.

    The PROPERTY of Truth has a firm definition, what can't be defined is
    the PREDICATE.


    It it cannot be formalized then what the Hell can a firm definition
    possibly be? We need a definition such that every liar will know that
    their lies are as easily detectable as arithmetic errors with absolutely
    zero subjective judgement involved.

    If we don't have that then the goofies will always claim political bias.

    If we make it like I claim that 2 + 3 = 5 and they claim "political
    bias" they know that other goofies won't even accept that.

    Your stupidity that can't understand the difference just illustrates the problem.

    You yourelf beleive your own lies and refuse to look at the actual
    truth, just like the people you complain about.


    Try and show the details of exactly how
    "The PROPERTY of Truth has a firm definition"

    Such that we can convince 95% of the 45% of the electorate that
    believe that election fraud changed the outcome of the 2020
    presidential election.

    The current definition is good enough for geniuses that want the
    truth yet woefully inadequate to nullify Nazi styled propaganda.

    Making True(L,x) computable could do this. Nothing less than this
    could be nearly as effective.

    YOU prove the difficulty of the problem, by being the poster child of it.




    Only because humans have a very terribly abysmal understanding of
    the notion of truth is propaganda based on the Nazi model possible.

    No, it is based on people beleiving propaganda over facts.


    The Tarski Undefinability theorem seems to support Nazi propaganda
    in that it seems to cause all of the world's best experts to uniformly >>>> agree that no one can ever possibly accurately specify exactly what
    True(L,x) really is.


    Nope, but YOUR claim would be more of a support for that then his.



    If we cannot ever accurately know what truth is then we can never
    consistently correctly divide truth from dangerous lies. This is
    currently having horrific consequences.

    But that isn't what Tarsli said, but your claim is exactly what the
    people you try to decry use.

    Your logic is based on LYING, so it actually PROMOTES the lies that
    you claim to be fighting.

    YOUR ignoring of the actual facts presented to you validates the
    ignoring of the facts by those that you claim to be fighting.



    --
    https://www.youtube.com/@rossfinlayson





    --
    Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
    hits a target no one else can see." Arthur Schopenhauer

    --- Synchronet 3.20a-Linux NewsLink 1.114
  • From Richard Damon@richard@damon-family.org to sci.logic,comp.theory on Wed Apr 17 22:11:12 2024
    From Newsgroup: comp.theory

    On 4/17/24 9:45 PM, olcott wrote:
    On 4/17/2024 7:48 PM, Richard Damon wrote:
    On 4/17/24 8:24 PM, olcott wrote:
    On 4/17/2024 5:48 PM, Richard Damon wrote:
    On 4/17/24 4:59 PM, olcott wrote:
    On 4/17/2024 3:07 PM, Ross Finlayson wrote:
    On 04/17/2024 12:27 PM, olcott wrote:
    ...14 Every epistemological antinomy can likewise be used for a >>>>>>> similar
    undecidability proof...(Gödel 1931:43-44)

    *I will paraphrase his quote using the simplest terms*

    Every expression X that cannot possibly be true or false proves that >>>>>>> there is something wrong with a formal system that cannot correctly >>>>>>> determine whether X is true or false.



    I like to read it more as Mirimanoff and the extra-ordinary.

    In the early 20'th century, Mirimanoff was very influential in
    what became set theory.  He was very well-known in the small circle >>>>>> that is the usual introduction, and should be more, today.

    Regularity, a usual ruliality, as Well-Foundedness, has a
    delicate interplay and contraposition with Well-Orderedness,
    both regular and rulial, yet in the infinite, that the
    antinomies sort of make for that for arithmetic, that
    both increment is an operator, and division is an operator,
    and while they join as they come together in the field,
    in the modular, they represent yet opposite concerns.

    So, Mirimanoff's extra-ordinary, is another way to look
    at Goedel's incompleteness, that the truths about the
    objects, i.e. their proofs or models, do have an
    extra-ordinary existence, arising from the resolution
    of what would otherwise be the contradiction, the paradox,
    making for why Goedel's result is as well that there
    _is_ an extra-ordinary infinity, plainly courtesy the mind,
    and simple ponderance of alternatives in quantifiers
    and the basis of fundamental logic.

    So, it's not "wrong", instead, it's "better".

    I like to think of it this way as I am entirely pleased
    about it and it very well follows from what I've studied
    of the development of the canon of logic as it was and is,
    and, will be.


    Warm regards, E.S., bonjour,



    I am interested in foundations of logic only so that that I can derive >>>>> the generic notion of correct reasoning for the purpose of practical >>>>> application in daily life.

    For example the claim that election fraud changed the outcome of the >>>>> 2020 presidential election could be understood as untrue as if it was >>>>> an error in arithmetic.

    No, the Truth or Falsehood of that statement would be based on
    looking at the ACTUAL OBSERVATION of how much "fraud" could be shown
    to exist, that isn't something determined by "analytical logic" but
    by forensic investigation, by OBSERVATION. (just the opposite of
    what you try to claim).


    Although that is correct the problem is that 45% of the electorate
    do not understand that is correct.

    And thus, your arguement does nothing to fix the actual problem.


    When we have a formal system that can explain how and why that is
    correct in a quadrillion different ways at every language and
    education level, responding to every social media post in real time
    relentlessly then we will have the resources required.

    Except that the key isn't what a formal system can show, as the key is
    the basic evidence, that would need to be the axioms of the formal
    system.


    The "axioms" of the formal system would be an an accurate model of the current actual world. Such a system would hypothetically be aware of
    every single detail of evidence that there was woefully insufficient
    evidence of election fraud that could have possibly changed the
    outcome of the 2020 presidential election.

    And since the core of the disagreement is with the MODEL, the logic
    afterwords doesn't matter.

    Just like YOU refuse to look at the fact presented to you, because you
    "know" what the truth is, so do the election deniers "know" what the
    facts are to the case.

    Why would people beleive your system when they "KNOW" that it has the
    wrong facts.

    YOU prove this behavior by your own.



    It would know an fully understand every single word that was
    publicly stated about election fraud this includes every single
    word that anyone ever said in of the election fraud curt cases.

    But, if people don't beleive it, they will not believe it.

    Claiming something is true doesn't make it so.


    It would be able to very easily reverse-engineer every subtle
    nuance of a detail of exactly how Hitler's "big lie" model
    was applied.

    You put too much faith in your ability to derive logic, and not enough understanding in psychology. Your become the proof that your system can
    not work, as YOU insist on things that have been conclusively proven
    wrong, but you continue to believe them.



    Currently most of the experts seems to agree that True(L, x)
    cannot possibly be consistently and coherently defined thus
    there is no objectively discernible difference between verified
    facts and dangerous lies.


    Nope. That is just a stupid lie.


    Notice the keyword "consistently" that means 100% of ALL
    the time in every single case.

    Which is IMPOSSIBLE.

    The case that it can not handle has been shown to you, but you just
    refuese to look at it, because you can not look at it and keep your
    broken world view, so you think it must be wrong.

    Fundamentally, you just don't understand the things you are talking about.


    True(L, x) as a predicate of logic can not be defined.

    That does NOT say we can not objectived define what is true and what
    is false, it says that there exist a few (and generally unusual)
    statements that we csn not determine if they meet the definition of
    True or False.


    Thus not "consistently" 100% of ALL the time in every single case, just
    like I said. I have a friend with an actual 143 IQ that is completely
    certain that the Earth is flat.

    Right, it is IMPOSSIBLE to know the truth for ALL cases.


    Too many people do not understand the difference between reasonably plausible and unreasonably implausible.

    Like you.


    The PROPERTY of Truth has a firm definition, what can't be defined is
    the PREDICATE.


    It it cannot be formalized then what the Hell can a firm definition
    possibly be? We need a definition such that every liar will know that
    their lies are as easily detectable as arithmetic errors with absolutely
    zero subjective judgement involved.

    Which just shows you don't understand the difference between defining
    what we mean by something being true, which we can do, and defining a PREDICATE that tells us, always, if a statement is true.

    NO ONE (except it seems you) seems to claim that it is impossible to
    tell, for most statements, if they are true or not. If we can show the
    logical steps connecting the statement to truthmakers, then it is true,
    if we can show teh logical steps connecting the complement of the
    statement to truthmakers, it is false. If we can't do either, we do not
    know if the statement is true or false, and there will always be such statements.


    If we don't have that then the goofies will always claim political bias.

    Just like you.


    If we make it like I claim that 2 + 3 = 5 and they claim "political
    bias" they know that other goofies won't even accept that.

    Right, LIARS will use invalid and unsound reasoning to try to show
    falsehoods to be plausable, just like YOU do.


    Your stupidity that can't understand the difference just illustrates
    the problem.

    You yourelf beleive your own lies and refuse to look at the actual
    truth, just like the people you complain about.


    Try and show the details of exactly how
    "The PROPERTY of Truth has a firm definition"

    A statement is Analytically True, if there exists a valid and sound
    (possibly infinite) chain of reasoning from the Truth Makers of the
    system to the statement. We can determine this, at times, with a formal
    proof listing a finite chain of valid and sound logic from the Truth
    Makers of the system to the statement.

    A statement is Empirically True if it matches the existance in the
    world. This can often be demonstrated by observation of the world.


    Such that we can convince 95% of the 45% of the electorate that
    believe that election fraud changed the outcome of the 2020
    presidential election.

    People who refuse to look at facts, can't actually be persuaded.

    YOU prove this statement by your ignorant claims about logic.


    The current definition is good enough for geniuses that want the
    truth yet woefully inadequate to nullify Nazi styled propaganda.

    Because logical definitions don't mean anything to people who do not use logic. Something that seems beyond your ability to understand.


    Making True(L,x) computable could do this. Nothing less than this
    could be nearly as effective.

    Nope. Not at all.

    Your claiming it would just reinforces the falsehoods that they hold onto.


    YOU prove the difficulty of the problem, by being the poster child of it.




    Only because humans have a very terribly abysmal understanding of
    the notion of truth is propaganda based on the Nazi model possible.

    No, it is based on people beleiving propaganda over facts.


    The Tarski Undefinability theorem seems to support Nazi propaganda
    in that it seems to cause all of the world's best experts to uniformly >>>>> agree that no one can ever possibly accurately specify exactly what
    True(L,x) really is.


    Nope, but YOUR claim would be more of a support for that then his.



    If we cannot ever accurately know what truth is then we can never
    consistently correctly divide truth from dangerous lies. This is
    currently having horrific consequences.

    But that isn't what Tarsli said, but your claim is exactly what the
    people you try to decry use.

    Your logic is based on LYING, so it actually PROMOTES the lies that
    you claim to be fighting.

    YOUR ignoring of the actual facts presented to you validates the
    ignoring of the facts by those that you claim to be fighting.



    --
    https://www.youtube.com/@rossfinlayson







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  • From Ross Finlayson@ross.a.finlayson@gmail.com to sci.logic,comp.theory on Wed Apr 17 20:59:17 2024
    From Newsgroup: comp.theory

    On 04/17/2024 03:48 PM, Richard Damon wrote:
    On 4/17/24 4:59 PM, olcott wrote:
    On 4/17/2024 3:07 PM, Ross Finlayson wrote:
    On 04/17/2024 12:27 PM, olcott wrote:
    ...14 Every epistemological antinomy can likewise be used for a similar >>>> undecidability proof...(Gödel 1931:43-44)

    *I will paraphrase his quote using the simplest terms*

    Every expression X that cannot possibly be true or false proves that
    there is something wrong with a formal system that cannot correctly
    determine whether X is true or false.



    I like to read it more as Mirimanoff and the extra-ordinary.

    In the early 20'th century, Mirimanoff was very influential in
    what became set theory. He was very well-known in the small circle
    that is the usual introduction, and should be more, today.

    Regularity, a usual ruliality, as Well-Foundedness, has a
    delicate interplay and contraposition with Well-Orderedness,
    both regular and rulial, yet in the infinite, that the
    antinomies sort of make for that for arithmetic, that
    both increment is an operator, and division is an operator,
    and while they join as they come together in the field,
    in the modular, they represent yet opposite concerns.

    So, Mirimanoff's extra-ordinary, is another way to look
    at Goedel's incompleteness, that the truths about the
    objects, i.e. their proofs or models, do have an
    extra-ordinary existence, arising from the resolution
    of what would otherwise be the contradiction, the paradox,
    making for why Goedel's result is as well that there
    _is_ an extra-ordinary infinity, plainly courtesy the mind,
    and simple ponderance of alternatives in quantifiers
    and the basis of fundamental logic.

    So, it's not "wrong", instead, it's "better".

    I like to think of it this way as I am entirely pleased
    about it and it very well follows from what I've studied
    of the development of the canon of logic as it was and is,
    and, will be.


    Warm regards, E.S., bonjour,



    I am interested in foundations of logic only so that that I can derive
    the generic notion of correct reasoning for the purpose of practical
    application in daily life.

    For example the claim that election fraud changed the outcome of the
    2020 presidential election could be understood as untrue as if it was
    an error in arithmetic.

    No, the Truth or Falsehood of that statement would be based on looking
    at the ACTUAL OBSERVATION of how much "fraud" could be shown to exist,
    that isn't something determined by "analytical logic" but by forensic investigation, by OBSERVATION. (just the opposite of what you try to
    claim).


    Only because humans have a very terribly abysmal understanding of
    the notion of truth is propaganda based on the Nazi model possible.

    No, it is based on people beleiving propaganda over facts.


    The Tarski Undefinability theorem seems to support Nazi propaganda
    in that it seems to cause all of the world's best experts to uniformly
    agree that no one can ever possibly accurately specify exactly what
    True(L,x) really is.


    Nope, but YOUR claim would be more of a support for that then his.



    If we cannot ever accurately know what truth is then we can never
    consistently correctly divide truth from dangerous lies. This is
    currently having horrific consequences.

    But that isn't what Tarsli said, but your claim is exactly what the
    people you try to decry use.

    Your logic is based on LYING, so it actually PROMOTES the lies that you
    claim to be fighting.

    YOUR ignoring of the actual facts presented to you validates the
    ignoring of the facts by those that you claim to be fighting.



    --
    https://www.youtube.com/@rossfinlayson




    So, it's a science, then.

    Science, has observables, reproducibles: and falsifiables.

    Much like statistics: hypothesis: invalidatable.


    If you want truth, it's "the truth".


    Aristotle's quite a Platonist if you consult both
    the _a priori_ and _a posteriori_, quite Hegelian,
    who does have a brief metaphysics, for exactly what it is.


    Mirimanoff is really great, and the extra-ordinary is
    an important and profound concept with regards to
    infinity and the very real nature of mathematical infinity,
    and that there are extra-ordinary laws of large, these
    days explored as for example the doubling spaces and
    my three definitions of mathematical continuity.

    The three definitions of mathematical continuity, ....

    It's also for a theory of truth, "A Theory", and
    it's a very strong logicist positivist mathematical platonism.

    So, it's a science: about the logic, about the truth.


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