Question

Prove $\forall xA(x) \to B \therefore \exists x(A(x) \to B)$.

score 783 · Answer 1 · 2020-04-07 01:32:41

783

Views

Prove $\forall xA(x) \to B \therefore \exists x(A(x) \to B)$.

Published on 07 Apr 2020 - 1:32

score 76 · Answer 2 · 2020-04-07 16:58:06

76

Views

Constructing Natural Deduction Sequences?

Published on 07 Apr 2020 - 16:58

score 107 · Answer 3 · 2020-04-09 20:30:02

107

Views

Proving $\forall x(x \text{ is odd} \to x^2 \text{ is odd)}$ using First Order Logic.

Published on 09 Apr 2020 - 20:30

score 69 · Answer 4 · 2020-04-14 00:27:43

69

Views

Prove that given any two consecutive integers, one is even and the other is odd.

Published on 14 Apr 2020 - 0:27

score 309 · Answer 5 · 2020-04-17 18:27:28

309

Views

Proving $\forall x\forall y(P(x) \to Q(y)) \vdash \exists x(P(x) \to \forall y \, Q(y))$ using natural deduction.

Published on 17 Apr 2020 - 18:27

score 49 · Answer 6 · 2020-04-21 09:47:04

49

Views

What are those implicit "rules" by which we deduce theorems from axioms in mathematics?

Published on 21 Apr 2020 - 9:47

score 520 · Answer 7 · 2020-04-23 09:01:22

520

Views

Determine if Modus Ponens argument is valid

Published on 23 Apr 2020 - 9:01

score 93 · Answer 8 · 2020-04-24 06:57:01

93

Views

Use induction and elimination rules of propositional logic to prove

Published on 24 Apr 2020 - 6:57

score 85 · Answer 9 · 2020-04-24 14:15:17

85

Views

Proof: the element $0 \in \mathbb{Z}$ is unique.

Published on 24 Apr 2020 - 14:15

score 218 · Answer 10 · 2020-04-25 22:40:45

218

Views

Prove $\exists x(P(x) \land \forall y(P(y) \to y=x)) \vdash \exists x \forall y(P(y) \leftrightarrow y=x)$.

Published on 25 Apr 2020 - 22:40

score 67 · Answer 11 · 2020-04-27 12:50:05

67

Views

Natural Deduction, Finish the Proof

Published on 27 Apr 2020 - 12:50

score 211 · Answer 12 · 2020-04-27 23:33:39

211

Views

Prove there is a unique set $A$ such that for every set $B$, $A \cup B=B$ using Natural Deduction.

Published on 27 Apr 2020 - 23:33

score 131 · Answer 13 · 2020-05-02 00:55:14

131

Views

Urgent Help Given p ⇒ q, use the Fitch System to prove ¬q ⇒ ¬p.

Published on 02 May 2020 - 0:55

score 180 · Answer 14 · 2020-05-03 03:34:01

180

Views

Help, have to prove the tautology (p ∨ ¬p) from nothing using fitch system.

Published on 03 May 2020 - 3:34

score 25 · Answer 15 · 2020-05-08 18:02:52

25

Views

Prove $T=T'$ using Natural Deduction.

Published on 08 May 2020 - 18:02

List Question

Prove $\forall xA(x) \to B \therefore \exists x(A(x) \to B)$.

Constructing Natural Deduction Sequences?

Proving $\forall x(x \text{ is odd} \to x^2 \text{ is odd)}$ using First Order Logic.

Prove that given any two consecutive integers, one is even and the other is odd.

Proving $\forall x\forall y(P(x) \to Q(y)) \vdash \exists x(P(x) \to \forall y \, Q(y))$ using natural deduction.

What are those implicit "rules" by which we deduce theorems from axioms in mathematics?

Determine if Modus Ponens argument is valid

Use induction and elimination rules of propositional logic to prove

Proof: the element $0 \in \mathbb{Z}$ is unique.

Prove $\exists x(P(x) \land \forall y(P(y) \to y=x)) \vdash \exists x \forall y(P(y) \leftrightarrow y=x)$.

Natural Deduction, Finish the Proof

Prove there is a unique set $A$ such that for every set $B$, $A \cup B=B$ using Natural Deduction.

Urgent Help Given p ⇒ q, use the Fitch System to prove ¬q ⇒ ¬p.

Help, have to prove the tautology (p ∨ ¬p) from nothing using fitch system.

Prove $T=T'$ using Natural Deduction.

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