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Can we formally distinguish between actual and potential infinities?

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#infinity
76
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The probability of a number appearing in an approximation of an irrational number?

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#probability #infinity #irrational-numbers #pi
80
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Calculating $\lim_{(n,x) \rightarrow (\infty, 1^+)}x^n$?

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#limits #infinity
527
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Group action of $GL(2, F)$ on the projective line $P(F)$

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#abstract-algebra #matrices #group-theory #infinity #linear-transformations
6.8k
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Are there more transcendental numbers or irrational numbers that are not transcendental?

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#elementary-set-theory #infinity #irrational-numbers #transcendental-numbers
1.9k
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W. Mückenheim claims a severe inconsistency of transfinite set theory; true?

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#set-theory #axiom-of-choice #infinity
134
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$\ln{\left(\frac{1}{0}\right)} = -\infty$?

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#limits #logarithms #infinity
553
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How to find the limit of a sequence?

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#calculus #sequences-and-series #limits #infinity
593
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Third axiom of Kolmogorov axioms

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#probability #sequences-and-series #probability-theory #elementary-set-theory #infinity
55.1k
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One divided by infinity is not zero?

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#infinity
1k
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Can a number have an uncountably infinite amount of digits?

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#cardinals #infinity #real-numbers #decimal-expansion
176
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What is the value of $0\times \infty$? (in $[0, +\infty]$)

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#measure-theory #infinity
516
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Is $\frac00=\infty$? And what is $\frac10$? Are they same? Does it hold true for any constant $a$ in $\frac{a}0$

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#limits #soft-question #infinity #indeterminate-forms
2.4k
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Is there a change-of-variables solution for integrals from negative infinity to a constant?

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#integration #infinity #substitution
609
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Two similar method to calculate one equation get different answer

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#calculus #infinity #taylor-expansion

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