Question

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

score 81 · Answer 1 · 2026-03-25 09:23:52

81

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

Published on 25 Mar 2026 - 9:23

score 154 · Answer 2 · 2026-03-25 11:02:27

154

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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 25 Mar 2026 - 11:02

score 107 · Answer 3 · 2026-03-25 09:25:22

107

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Proof of contraposition theorem using logical (semantic) entailment definition

Published on 25 Mar 2026 - 9:25

score 132 · Answer 4 · 2026-04-01 05:30:44

132

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Meaning of "theorem of a system"

Published on 01 Apr 2026 - 5:30

score 68 · Answer 5 · 2026-04-11 13:16:48

68

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

Published on 11 Apr 2026 - 13:16

score 118 · Answer 6 · 2026-03-25 11:05:17

118

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Non-syntactic characterization of $\Delta_0$ formulae

Published on 25 Mar 2026 - 11:05

score 150 · Answer 7 · 2026-03-25 09:24:16

150

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Trouble with a theorem in Hunter's Metalogic

Published on 25 Mar 2026 - 9:24

score 7.1k · Answer 8 · 2026-03-25 09:32:44

7.1k

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How to show Universal Quantifier distributes over implication?

Published on 25 Mar 2026 - 9:32

score 946 · Answer 9 · 2026-03-25 09:23:42

946

Views

Proving a property about logical entailment

Published on 25 Mar 2026 - 9:23

score 46 · Answer 10 · 2026-03-25 10:58:42

46

Views

A problem of decidability (predicate metalogic)

Published on 25 Mar 2026 - 10:58

score 99 · Answer 11 · 2026-03-25 09:28:41

99

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Equivalence of two biconditionals of propositional metalogic

Published on 25 Mar 2026 - 9:28

score 66 · Answer 12 · 2026-03-25 11:03:40

66

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

Published on 25 Mar 2026 - 11:03

score 127 · Answer 13 · 2026-03-25 09:27:15

127

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

Published on 25 Mar 2026 - 9:27

score 137 · Answer 14 · 2026-04-01 05:08:58

137

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Deductive system for natural language

Published on 01 Apr 2026 - 5:08

score 234 · Answer 15 · 2026-04-20 12:08:56

234

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Theorems relating to the limitation of mathematics

Published on 20 Apr 2026 - 12:08

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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