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Apr
30
accepted Dissecting a proof of the $\Delta$-system lemma
Apr
29
accepted Question about passage in Halbeisen's book
Apr
29
comment Question about passage in Halbeisen's book
Ahh, thank you. I somehow thought of axioms as assumptions. I know that the definition of formal proof means it's a finite sequence of steps. But "steps" here really also includes the assumptions. : )
Apr
29
comment Question about passage in Halbeisen's book
Thank you so much for this clear answer. I have one question about it: How can we be sure that the additional axioms we need to prove $\mathbb P$ is in $\mathsf M$ are only finitely many? (The other case you mention seems clear: If $\Phi$ is finite then so is any model $\mathsf M$ of $\Phi$ and then there will also only be finitely many names so that proving $\mathsf M$ satisfies $\Phi$ can be done using finitely many names $\mathbb P^{\mathsf M}$ where $\mathbb P \subseteq \mathsf M$ for which we need finitely many instances of Replacement.)
Apr
29
asked Dissecting a proof of the $\Delta$-system lemma
Apr
29
revised Proof of vector calculus identities
Tab removed.
Apr
27
comment Subspace topology and order topology
It is $\{1/2\} \times (1/2, 3/2)$, see second paragraph. Perhaps you are slightly confused because the point $(1/2,3/2)$ looks like the interval $(1/2,3/2)$ in this notation.
Apr
27
reviewed No Action Needed How to integrate this expression
Apr
27
reviewed Leave Open Interchange of limits
Apr
27
reviewed Leave Open Interchange of limits.
Apr
27
reviewed Leave Open Interchange of limits,
Apr
27
reviewed Reviewed Entertaining video lectures of differential equation
Apr
27
reviewed Reopen How to prove lim sup problem?
Apr
27
reviewed Looks Good Is the ideal $(X^2-3)$ proper in $\mathbb{F}[[X]]$?
Apr
26
reviewed Reopen Probability of random integer's digits summing to 12
Apr
25
revised True or False; Functional Analysis
deleted 2 characters in body
Apr
25
revised Is a bounded and continuous function uniformly continuous?
edited title
Apr
25
revised Is a bounded and continuous function uniformly continuous?
added 2 characters in body
Apr
25
answered Algebraic Topology
Apr
24
answered Examples of Banach spaces