Question

Which of these translates the universal and existential quantifiers better?

score 193 · Answer 1 · 2026-03-25 22:03:15

193

Views

Which of these translates the universal and existential quantifiers better?

Published on 25 Mar 2026 - 22:03

score 107 · Answer 2 · 2026-03-26 02:56:24

107

Views

To prove that for every $x$, $(x\in Z\implies x\in R),$ is it ok to write "For any $x,$ suppose $x\in Z$. Then... Then $x\in R$"?

Published on 26 Mar 2026 - 2:56

score 221 · Answer 3 · 2026-03-26 02:56:11

221

Views

Translating "There are two different students in your class who between them have sent an e-mail message to or telephoned everyone else in the class"

Published on 26 Mar 2026 - 2:56

score 234 · Answer 4 · 2026-03-28 01:13:33

234

Views

What are all the restrictions on existential generalization (When CAN'T we use it)?

Published on 28 Mar 2026 - 1:13

score 131 · Answer 5 · 2023-05-30 01:40:33

131

Views

Are "∀x ∈ R" and "∃x ∈ R" propositions?

Published on 30 May 2023 - 1:40

score 94 · Answer 6 · 2023-06-01 19:33:52

94

Views

Help with negating proposition $P: \forall a\in\Bbb R, \forall b\in\Bbb R, f(a)=f(b)\rightarrow a=b$

Published on 01 Jun 2023 - 19:33

score 33 · Answer 7 · 2023-06-10 21:00:37

33

Views

Quantifiers with restriction to predicate

Published on 10 Jun 2023 - 21:00

score 1k · Answer 8 · 2023-06-25 01:14:49

1k

Views

Does leaving universal quantifiers up to context lead to ambiguity?

Published on 25 Jun 2023 - 1:14

score 22 · Answer 9 · 2026-02-23 10:20:10

22

Views

Rudin $9.3(a)$'s led me to a question about the existence logic quantifier and it's variables

Published on 23 Feb 2026 - 10:20

score 75 · Answer 10 · 2026-03-28 16:14:07

75

Views

Set of natural numbers as the intersection of inductive sets

Published on 28 Mar 2026 - 16:14

score 58 · Answer 11 · 2023-07-08 13:47:05

58

Views

Problem with converting predicate expression to Prenex Normal Form

Published on 08 Jul 2023 - 13:47

score 32 · Answer 12 · 2026-02-23 10:02:52

32

Views

For a Wiener process, when can one exchange “for all $t$” and “almost surely”?

Published on 23 Feb 2026 - 10:02

score 1.2k · Answer 13 · 2026-03-26 02:52:57

1.2k

Views

Difference between “for some $k$” and “for some arbitrary $k$”

Published on 26 Mar 2026 - 2:52

score 48 · Answer 14 · 2023-07-21 01:00:51

48

Views

Can the two place "Most C are D" quantifier be defined from the one place "For most X" quantifier?

Published on 21 Jul 2023 - 1:00

score 81 · Answer 15 · 2023-07-30 01:15:34

81

Views

Is it valid to quantify two variables over the same universe using the same quantifier (like in $\forall a,b \in \mathbb{R} \:\: P(a,b)$)?

Published on 30 Jul 2023 - 1:15

List Question

Which of these translates the universal and existential quantifiers better?

To prove that for every $x$, $(x\in Z\implies x\in R),$ is it ok to write "For any $x,$ suppose $x\in Z$. Then... Then $x\in R$"?

Translating "There are two different students in your class who between them have sent an e-mail message to or telephoned everyone else in the class"

What are all the restrictions on existential generalization (When CAN'T we use it)?

Are "∀x ∈ R" and "∃x ∈ R" propositions?

Help with negating proposition $P: \forall a\in\Bbb R, \forall b\in\Bbb R, f(a)=f(b)\rightarrow a=b$

Quantifiers with restriction to predicate

Does leaving universal quantifiers up to context lead to ambiguity?

Rudin $9.3(a)$'s led me to a question about the existence logic quantifier and it's variables

Set of natural numbers as the intersection of inductive sets

Problem with converting predicate expression to Prenex Normal Form

For a Wiener process, when can one exchange “for all $t$” and “almost surely”?

Difference between “for some $k$” and “for some arbitrary $k$”

Can the two place "Most C are D" quantifier be defined from the one place "For most X" quantifier?

Is it valid to quantify two variables over the same universe using the same quantifier (like in $\forall a,b \in \mathbb{R} \:\: P(a,b)$)?

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