List questions from examples-counterexamples

Published on 24 Nov 2019 - 17:51

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Does $K \subseteq L$ and $K \cong L \implies$ $K=L$?

Published on 26 Mar 2026 - 6:25

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why are $\forall x(P(x)\rightarrow \exists y(Q(y)∧R(x,y)))\text{ and }\exists y(Q(y)∧\forall x(P(x)\rightarrow (R(x,y)))$ not logically equivalent?

Published on 28 Mar 2026 - 6:41

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Is there a prime of the form $\ (9n)!+n!+1\ $?

Published on 25 Nov 2019 - 14:55

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Is there example of uncountable ring $R$ (with 1) containing a countable maximal left ideal $I$?

Published on 30 Mar 2026 - 5:15

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Does this corollary contradicts this question?

Published on 26 Nov 2019 - 16:04

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Why does the monotone convergence theorem not apply on Riemann integrals?

Published on 29 Mar 2026 - 10:14

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Equivalent conditions for $\sigma(f)\subset\sigma(g)$

Published on 29 Nov 2019 - 22:05

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Transitivity of a composition of partial orders

Published on 31 Mar 2026 - 2:17

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Good real analysis book to practice questions?

Published on 02 Dec 2019 - 0:50

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Is the following derivative application statement true or false?

Published on 02 Dec 2019 - 2:28

120

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Do we have $f(x)\le\limsup x_n$ for every functional extending limit?

Published on 02 Dec 2019 - 12:02

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Example of limit of indeterminate form $0^0$ where the limit is not equal to $1$?

Published on 25 Mar 2026 - 16:02

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What examples are there of prime-related configurations occurring finitely many times?

Published on 04 Dec 2019 - 7:54

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Question about approximating measurable functions with continuous functions.

Published on 28 Mar 2026 - 13:32

List Question

Understanding the statement of a question.

Does $K \subseteq L$ and $K \cong L \implies$ $K=L$?

why are $\forall x(P(x)\rightarrow \exists y(Q(y)∧R(x,y)))\text{ and }\exists y(Q(y)∧\forall x(P(x)\rightarrow (R(x,y)))$ not logically equivalent?

Is there a prime of the form $\ (9n)!+n!+1\ $?

Is there example of uncountable ring $R$ (with 1) containing a countable maximal left ideal $I$?

Does this corollary contradicts this question?

Why does the monotone convergence theorem not apply on Riemann integrals?

Equivalent conditions for $\sigma(f)\subset\sigma(g)$

Transitivity of a composition of partial orders

Good real analysis book to practice questions?

Is the following derivative application statement true or false?

Do we have $f(x)\le\limsup x_n$ for every functional extending limit?

Example of limit of indeterminate form $0^0$ where the limit is not equal to $1$?

What examples are there of prime-related configurations occurring finitely many times?

Question about approximating measurable functions with continuous functions.

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