Question

Define a proof system for propositional logic that uses truth-tables

score 53 · Answer 1 · 2026-03-25 10:58:16

53

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Define a proof system for propositional logic that uses truth-tables

Published on 25 Mar 2026 - 10:58

score 187 · Answer 2 · 2026-04-20 12:24:34

187

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Artificial intelligence methods in mathematics

Published on 20 Apr 2026 - 12:24

score 1.8k · Answer 3 · 2026-04-30 01:49:21

1.8k

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Formalizing the meta-language of First order Logic and studying it as a formal system

Published on 30 Apr 2026 - 1:49

score 92 · Answer 4 · 2026-03-31 20:08:33

92

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What type of reasoning is employed when studying metalogic?

Published on 31 Mar 2026 - 20:08

score 99 · Answer 5 · 2026-05-04 02:47:29

99

Views

Minimal arithmetic proving a statement similar to a Gödel sentence

Published on 04 May 2026 - 2:47

score 280 · Answer 6 · 2026-04-16 01:26:59

280

Views

If a theory is 1-consistent then it is consistent

Published on 16 Apr 2026 - 1:26

score 60 · Answer 7 · 2026-04-05 21:26:17

60

Views

What is the study of systems called?

Published on 05 Apr 2026 - 21:26

score 265 · Answer 8 · 2026-03-25 10:53:00

265

Views

Mathematics of term (Aristotle) logic

Published on 25 Mar 2026 - 10:53

score 67 · Answer 9 · 2026-03-25 10:53:04

67

Views

Logics that can not be implemented in current logical frameworks like Coq?

Published on 25 Mar 2026 - 10:53

score 757 · Answer 10 · 2026-03-25 10:55:51

757

Views

Does weak completeness ("If $\vDash\phi$, then $\vdash\phi$") imply strong completeness ("If $\Gamma\vDash\phi$, then $\Gamma\vdash\phi$")?

Published on 25 Mar 2026 - 10:55

score 174 · Answer 11 · 2026-03-25 10:57:05

174

Views

Does there exist a first-order theory $T$ and a proof system $\vdash$ such that $T\vDash\phi$ iff $T\vdash\phi$, but $\vdash$ is not complete?

Published on 25 Mar 2026 - 10:57

score 130 · Answer 12 · 2026-03-25 10:58:58

130

Views

If a negation-complete first-order theory has a categorical-in-some-cardinal axiomatization, are all axiomatizations categorical in that cardinal?

Published on 25 Mar 2026 - 10:58

score 230 · Answer 13 · 2026-05-10 19:38:49

230

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What mathematics cannot be done in proof assitants (Isabelle/HOL, HOL) and how proof assistants should be improved?

Published on 10 May 2026 - 19:38

score 2.4k · Answer 14 · 2026-04-06 04:46:09

2.4k

Views

How are metalogic proofs valid?

Published on 06 Apr 2026 - 4:46

score 798 · Answer 15 · 2026-03-25 10:52:05

798

Views

Prove every Propositional logic statement with at most one instance of a variable is satisfiable

Published on 25 Mar 2026 - 10:52

List Question

Define a proof system for propositional logic that uses truth-tables

Artificial intelligence methods in mathematics

Formalizing the meta-language of First order Logic and studying it as a formal system

What type of reasoning is employed when studying metalogic?

Minimal arithmetic proving a statement similar to a Gödel sentence

If a theory is 1-consistent then it is consistent

What is the study of systems called?

Mathematics of term (Aristotle) logic

Logics that can not be implemented in current logical frameworks like Coq?

Does weak completeness ("If $\vDash\phi$, then $\vdash\phi$") imply strong completeness ("If $\Gamma\vDash\phi$, then $\Gamma\vdash\phi$")?

Does there exist a first-order theory $T$ and a proof system $\vdash$ such that $T\vDash\phi$ iff $T\vdash\phi$, but $\vdash$ is not complete?

If a negation-complete first-order theory has a categorical-in-some-cardinal axiomatization, are all axiomatizations categorical in that cardinal?

What mathematics cannot be done in proof assitants (Isabelle/HOL, HOL) and how proof assistants should be improved?

How are metalogic proofs valid?

Prove every Propositional logic statement with at most one instance of a variable is satisfiable

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