Question

Show that there is a rational number $b$ such that $ab = ba = 1$ using First Order Logic.

score 181 · Answer 1 · 2020-05-09 17:20:38

181

Views

Show that there is a rational number $b$ such that $ab = ba = 1$ using First Order Logic.

Published on 09 May 2020 - 17:20

score 172 · Answer 2 · 2020-05-10 18:00:00

172

Views

Given $\exists x.\lnot p(x)$, use the Fitch System to prove $\lnot \forall x.p(x)$

Published on 10 May 2020 - 18:00

score 975 · Answer 3 · 2020-05-11 16:35:13

975

Views

Given $∃y.∀x.p(x,y)$, use the Fitch system to prove $∀x.∃y.p(x,y)$

Published on 11 May 2020 - 16:35

score 112 · Answer 4 · 2020-05-12 14:21:05

112

Views

Show every positive integer can be written in one of the forms $3k$, $3k+1$, $3k+2$ for some integer $k$.

Published on 12 May 2020 - 14:21

score 649 · Answer 5 · 2020-05-13 00:48:12

649

Views

Construct a proof for the argument: P ∨ Q, ¬Q ∴ P

Published on 13 May 2020 - 0:48

score 902 · Answer 6 · 2020-05-13 17:59:51

902

Views

Given ∀x.(p(x) ⇒ q(x)), use the Fitch System to prove ∀x.p(x) ⇒ ∀x.q(x)

Published on 13 May 2020 - 17:59

score 467 · Answer 7 · 2020-05-14 19:15:10

467

Views

Given $\forall X\, p(X)$, use the Fitch System to prove $\lnot \exists X\, \lnot p(X)$

Published on 14 May 2020 - 19:15

score 95 · Answer 8 · 2020-05-15 17:01:54

95

Views

Is the author implicitly doing a proof by contradiction?

Published on 15 May 2020 - 17:01

score 181 · Answer 9 · 2020-05-24 02:24:27

181

Views

Herbrand Logic exercise on multidimensional induction

Published on 24 May 2020 - 2:24

score 68 · Answer 10 · 2020-05-25 09:05:49

68

Views

given $o(k), \neg o(n), \neg y(j), \forall x(y(x)\Rightarrow \neg o(x)), \exists x(y(x))$ prove $y(n)$ using Stanford university fitch system

Published on 25 May 2020 - 9:05

score 378 · Answer 11 · 2020-05-26 17:17:48

378

Views

Help to find a proof in natural deduction

Published on 26 May 2020 - 17:17

score 77 · Answer 12 · 2020-05-27 15:10:13

77

Views

How to prove by natural deduction?

Published on 27 May 2020 - 15:10

score 190 · Answer 13 · 2020-05-28 17:32:33

190

Views

Prove if $B$ has a smallest element, then this element is unique.

Published on 28 May 2020 - 17:32

score 241 · Answer 14 · 2020-05-30 10:55:07

241

Views

Natural deduction has me stuck

Published on 30 May 2020 - 10:55

score 373 · Answer 15 · 2020-05-31 18:51:07

373

Views

Predicate Logic: Exists-proof

Published on 31 May 2020 - 18:51

List Question

Show that there is a rational number $b$ such that $ab = ba = 1$ using First Order Logic.

Given $\exists x.\lnot p(x)$, use the Fitch System to prove $\lnot \forall x.p(x)$

Given $∃y.∀x.p(x,y)$, use the Fitch system to prove $∀x.∃y.p(x,y)$

Show every positive integer can be written in one of the forms $3k$, $3k+1$, $3k+2$ for some integer $k$.

Construct a proof for the argument: P ∨ Q, ¬Q ∴ P

Given ∀x.(p(x) ⇒ q(x)), use the Fitch System to prove ∀x.p(x) ⇒ ∀x.q(x)

Given $\forall X\, p(X)$, use the Fitch System to prove $\lnot \exists X\, \lnot p(X)$

Is the author implicitly doing a proof by contradiction?

Herbrand Logic exercise on multidimensional induction

given $o(k), \neg o(n), \neg y(j), \forall x(y(x)\Rightarrow \neg o(x)), \exists x(y(x))$ prove $y(n)$ using Stanford university fitch system

Help to find a proof in natural deduction

How to prove by natural deduction?

Prove if $B$ has a smallest element, then this element is unique.

Natural deduction has me stuck

Predicate Logic: Exists-proof

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