Question

Prove: $(A\rightarrow B),(A\rightarrow C)\rightarrow B, \mapsto_{HPC} B $

score 437 · Answer 1 · 2026-02-23 10:16:56

437

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Prove: $(A\rightarrow B),(A\rightarrow C)\rightarrow B, \mapsto_{HPC} B $

Published on 23 Feb 2026 - 10:16

score 194 · Answer 2 · 2026-02-23 10:19:31

194

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Is my derivation of $\vdash (\forall x)(B \implies C) \implies ((\forall x)B \implies (\forall x)C)$ correct?

Published on 23 Feb 2026 - 10:19

score 312 · Answer 3 · 2026-02-23 10:16:56

312

Views

Do inference rules mean the same in a Hilbert system and in a natural deductive system?

Published on 23 Feb 2026 - 10:16

score 168 · Answer 4 · 2026-02-23 10:21:51

168

Views

How are tautology axioms in a Hilbert system for FOL obtained from tautologies in Sentential Logic?

Published on 23 Feb 2026 - 10:21

score 193 · Answer 5 · 2026-02-23 10:17:36

193

Views

Should $\vdash$ in Theorem 24B In Enderton's logic book be $\models$ instead?

Published on 23 Feb 2026 - 10:17

score 66 · Answer 6 · 2026-02-23 10:19:33

66

Views

Are my instantiations of Axiom 5 (Mendelson) correct?

Published on 23 Feb 2026 - 10:19

score 70 · Answer 7 · 2026-02-23 10:14:22

70

Views

Axiomatic Schema Substitution

Published on 23 Feb 2026 - 10:14

score 352 · Answer 8 · 2026-02-23 10:17:37

352

Views

Prove double negation introduction with this axiom system.

Published on 23 Feb 2026 - 10:17

score 59 · Answer 9 · 2026-02-23 10:20:08

59

Views

Prove that {A ⇒ ¬C, ¬A ⇒ B} ⊢ C ⇒ B using only Modus Ponens, the typical theorem (A → ¬C) → (C → ¬A) and 3 axioms.

Published on 23 Feb 2026 - 10:20

score 80 · Answer 10 · 2026-02-23 10:19:33

80

Views

Choice of postulate 1b in Kleene's Introduction to Metamathematics

Published on 23 Feb 2026 - 10:19

score 57 · Answer 11 · 2026-02-23 10:17:37

57

Views

Reference for proof of completeness of classical predicate logic in a Hilbert system

Published on 23 Feb 2026 - 10:17

score 103 · Answer 12 · 2026-02-23 10:16:44

103

Views

Do we have to use free variables in Hilbert systems?

Published on 23 Feb 2026 - 10:16

score 159 · Answer 13 · 2026-02-23 10:23:37

159

Views

strong completeness of a formal system

Published on 23 Feb 2026 - 10:23

score 315 · Answer 14 · 2026-02-23 10:14:21

315

Views

Constructing Hilbert-style proofs without "assume" structure

Published on 23 Feb 2026 - 10:14

score 149 · Answer 15 · 2026-02-23 10:20:32

149

Views

Is the following definition of orthonormal basis in Hilbert space?

Published on 23 Feb 2026 - 10:20

List Question

Prove: $(A\rightarrow B),(A\rightarrow C)\rightarrow B, \mapsto_{HPC} B $

Is my derivation of $\vdash (\forall x)(B \implies C) \implies ((\forall x)B \implies (\forall x)C)$ correct?

Do inference rules mean the same in a Hilbert system and in a natural deductive system?

How are tautology axioms in a Hilbert system for FOL obtained from tautologies in Sentential Logic?

Should $\vdash$ in Theorem 24B In Enderton's logic book be $\models$ instead?

Are my instantiations of Axiom 5 (Mendelson) correct?

Axiomatic Schema Substitution

Prove double negation introduction with this axiom system.

Prove that {A ⇒ ¬C, ¬A ⇒ B} ⊢ C ⇒ B using only Modus Ponens, the typical theorem (A → ¬C) → (C → ¬A) and 3 axioms.

Choice of postulate 1b in Kleene's Introduction to Metamathematics

Reference for proof of completeness of classical predicate logic in a Hilbert system

Do we have to use free variables in Hilbert systems?

strong completeness of a formal system

Constructing Hilbert-style proofs without "assume" structure

Is the following definition of orthonormal basis in Hilbert space?

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