Question

Gödel's theorems, Löb's theorem, difference between "proves" and "implies"

score 80 · Answer 1 · 2023-10-09 15:38:06

80

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Gödel's theorems, Löb's theorem, difference between "proves" and "implies"

Published on 09 Oct 2023 - 15:38

score 153 · Answer 2 · 2023-11-07 20:07:52

153

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Explain Godel's Second Incompleteness Theorem: Why is A Theory Unable to Prove its Consistency if it is Consistent?

Published on 07 Nov 2023 - 20:07

score 106 · Answer 3 · 2023-11-20 17:11:16

106

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Proof of contraposition theorem using logical (semantic) entailment definition

Published on 20 Nov 2023 - 17:11

score 130 · Answer 4 · 2023-11-26 00:21:45

130

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Meaning of "theorem of a system"

Published on 26 Nov 2023 - 0:21

score 67 · Answer 5 · 2026-02-23 13:46:56

67

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How to prove that the set of theorems of any recursively axiomatized theory is a recursively enumerable set?

Published on 23 Feb 2026 - 13:46

score 117 · Answer 6 · 2024-02-09 19:58:53

117

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Non-syntactic characterization of $\Delta_0$ formulae

Published on 09 Feb 2024 - 19:58

score 149 · Answer 7 · 2015-01-30 15:46:36

149

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Trouble with a theorem in Hunter's Metalogic

Published on 30 Jan 2015 - 15:46

score 7.1k · Answer 8 · 2015-02-10 03:51:42

7.1k

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How to show Universal Quantifier distributes over implication?

Published on 10 Feb 2015 - 3:51

score 945 · Answer 9 · 2015-03-01 07:44:25

945

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Proving a property about logical entailment

Published on 01 Mar 2015 - 7:44

score 45 · Answer 10 · 2015-05-08 22:25:02

45

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A problem of decidability (predicate metalogic)

Published on 08 May 2015 - 22:25

score 98 · Answer 11 · 2015-05-09 03:05:12

98

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Equivalence of two biconditionals of propositional metalogic

Published on 09 May 2015 - 3:05

score 65 · Answer 12 · 2015-05-10 11:09:39

65

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Here are a couple of metalogical claims. Are they nuts?

Published on 10 May 2015 - 11:09

score 126 · Answer 13 · 2015-05-29 05:21:53

126

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Using the notion of provability only, how to show that $\Gamma \nvdash \varphi$?

Published on 29 May 2015 - 5:21

score 135 · Answer 14 · 2015-10-02 07:33:37

135

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Deductive system for natural language

Published on 02 Oct 2015 - 7:33

score 231 · Answer 15 · 2015-10-28 22:24:43

231

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Theorems relating to the limitation of mathematics

Published on 28 Oct 2015 - 22:24

List Question

Gödel's theorems, Löb's theorem, difference between "proves" and "implies"

Explain Godel's Second Incompleteness Theorem: Why is A Theory Unable to Prove its Consistency if it is Consistent?

Proof of contraposition theorem using logical (semantic) entailment definition

Meaning of "theorem of a system"

How to prove that the set of theorems of any recursively axiomatized theory is a recursively enumerable set?

Non-syntactic characterization of $\Delta_0$ formulae

Trouble with a theorem in Hunter's Metalogic

How to show Universal Quantifier distributes over implication?

Proving a property about logical entailment

A problem of decidability (predicate metalogic)

Equivalence of two biconditionals of propositional metalogic

Here are a couple of metalogical claims. Are they nuts?

Using the notion of provability only, how to show that $\Gamma \nvdash \varphi$?

Deductive system for natural language

Theorems relating to the limitation of mathematics

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