"undecidable" / "unentscheidbar" (Was Analytic Truth-makers)

Liste des GroupesRevenir à c theory 
Sujet : "undecidable" / "unentscheidbar" (Was Analytic Truth-makers)
De : janburse (at) *nospam* fastmail.fm (Mild Shock)
Groupes : comp.theory sci.logic
Date : 23. Jul 2024, 23:02:01
Autres entêtes
Message-ID : <v7p5o6$8c1e$2@solani.org>
References : 1 2 3 4 5 6 7 8 9 10 11 12
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For example Gödel belongs to the generation of
logicians that use the term "undecidable".
In German the term is translated to "unentscheidbar":
Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" ("On Formally Undecidable Propositions of Principia Mathematica and Related Systems I")
https://en.wikipedia.org/wiki/On_Formally_Undecidable_Propositions_of_Principia_Mathematica_and_Related_Systems
Mild Shock schrieb:
Since generations logicians have called sentences
which you clumsily call "not a truth-bearer",
simple called "undecidable" sentences.
 A theory is incomplete, if it has undecidable
sentences. There is a small difference between
unprovable and undecidable.
 An unprovable senetence A is only a sentence with:
 ~True(L, A).
 An undecidable sentence A is a sentence with:
 ~True(L, A) & ~True(L, ~A)
 Meaning the sentence itself and its complement
are both unprovable.
 olcott schrieb:
~True(L,x) ∧ ~True(L,~x)
means that x is not a truth-bearer in L.
It does not mean that L is incomplete

Date Sujet#  Auteur
22 Jul 24 * Analytic Truth-makers51olcott
22 Jul 24 +* ""self contradictory"" (Was: Analytic Truth-makers)6Mild Shock
22 Jul 24 i`* Re: ""self contradictory"" (Was: Analytic Truth-makers)5olcott
22 Jul 24 i `* Re: ""self contradictory"" (Was: Analytic Truth-makers)4Mild Shock
22 Jul 24 i  +- Re: ""self contradictory"" (Was: Analytic Truth-makers)1Mild Shock
22 Jul 24 i  `* Re: ""self contradictory"" (Was: Analytic Truth-makers)2olcott
23 Jul 24 i   `- Re: ""self contradictory"" (Was: Analytic Truth-makers)1Mild Shock
23 Jul 24 `* Re: Analytic Truth-makers44Richard Damon
23 Jul 24  `* Re: Analytic Truth-makers43olcott
23 Jul 24   `* Re: Analytic Truth-makers42Richard Damon
23 Jul 24    +* Re: Analytic Truth-makers26olcott
23 Jul 24    i`* Re: Analytic Truth-makers25Richard Damon
23 Jul 24    i `* Re: Analytic Truth-makers24olcott
23 Jul 24    i  `* Re: Analytic Truth-makers23Richard Damon
23 Jul 24    i   `* Re: Analytic Truth-makers22olcott
23 Jul 24    i    +* Re: Analytic Truth-makers7Richard Damon
23 Jul 24    i    i`* Re: Analytic Truth-makers6olcott
23 Jul 24    i    i +* Re: Analytic Truth-makers4Mild Shock
23 Jul 24    i    i i+* "undecidable" / "unentscheidbar" (Was Analytic Truth-makers)2Mild Shock
23 Jul 24    i    i ii`- Re: "undecidable" / "unentscheidbar" (Was Analytic Truth-makers)1Mild Shock
24 Jul 24    i    i i`- Re: Analytic Truth-makers1olcott
24 Jul 24    i    i `- Re: Analytic Truth-makers1Richard Damon
23 Jul 24    i    `* Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)14Mild Shock
23 Jul 24    i     `* Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)13olcott
23 Jul 24    i      `* Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)12Mild Shock
23 Jul 24    i       +* Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)2olcott
24 Jul 24    i       i`- Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)1Richard Damon
23 Jul 24    i       `* Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)9Mild Shock
23 Jul 24    i        +- Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)1Mild Shock
24 Jul 24    i        `* Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)7olcott
24 Jul 24    i         +- Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)1Richard Damon
24 Jul 24    i         `* Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)5Mild Shock
24 Jul 24    i          `* Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)4olcott
24 Jul 24    i           +* Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)2Mild Shock
24 Jul 24    i           i`- Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)1Mild Shock
25 Jul 24    i           `- Re: Gödel's Basic Logic Course at Notre Dame (Was: Analytic Truth-makers)1Richard Damon
23 Jul 24    `* Re: Analytic Truth-makers15Wasell
23 Jul 24     `* Re: Analytic Truth-makers14olcott
24 Jul 24      `* Re: Analytic Truth-makers13Richard Damon
24 Jul 24       `* Re: Analytic Truth-makers12olcott
24 Jul 24        `* Re: Analytic Truth-makers11Richard Damon
24 Jul 24         `* Re: Analytic Truth-makers10olcott
24 Jul 24          `* Re: Analytic Truth-makers9Richard Damon
24 Jul 24           `* Re: Analytic Truth-makers8olcott
24 Jul 24            `* Re: Analytic Truth-makers7Richard Damon
24 Jul 24             `* Re: Analytic Truth-makers6olcott
25 Jul 24              `* Re: Analytic Truth-makers5Richard Damon
25 Jul 24               `* Re: Analytic Truth-makers4olcott
25 Jul 24                `* Re: Analytic Truth-makers3Richard Damon
25 Jul 24                 `* Re: Analytic Truth-makers2olcott
26 Jul 24                  `- Re: Analytic Truth-makers1Richard Damon

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