Is there a formal system that proves its consistency while proving the existence of a stronger formal system that can interpret general recursion too?

score 39 · Answer 11 · 2022-11-24 20:11:47

39

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Proof by induction involving an inequality and $n!$

Published on 24 Nov 2022 - 20:11

score 16 · Answer 12 · 2022-11-28 16:15:27

16

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DFS Algorithem and Formallization

Published on 28 Nov 2022 - 16:15

score 48 · Answer 13 · 2022-12-03 01:39:35

48

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Logic-Provide a formal proof (A ∨ B) ∨ C , A → E , B ↔ E , C → E ⊢ E

Published on 03 Dec 2022 - 1:39

score 63 · Answer 14 · 2022-12-23 13:02:20

63

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When can we safely treat $dx$ like it were a real number during integration by substitution

Published on 23 Dec 2022 - 13:02

score 342 · Answer 15 · 2026-03-26 17:30:15

342

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Axiomatic proof of $⊢(a→b)→(¬b→¬a)$ without using the deduction theorem

Published on 26 Mar 2026 - 17:30

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Is there a formal system that proves its consistency while proving the existence of a stronger formal system that can interpret general recursion too?

Proof by induction involving an inequality and $n!$

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Logic-Provide a formal proof (A ∨ B) ∨ C , A → E , B ↔ E , C → E ⊢ E

When can we safely treat $dx$ like it were a real number during integration by substitution

Axiomatic proof of $⊢(a→b)→(¬b→¬a)$ without using the deduction theorem

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