katz

http://u.cs.biu.ac.il/~katzmik/

Interesting questions:

Papers that debunk common myths in the history of mathematics

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Did Euler prove theorems by example?

ho.history-overview math-philosophy proof-theory asked Jun 16, 2016 at 12:45

mathoverflow.net

38 votes

What are the advantages of the more abstract approaches to nonstandard analysis?

lo.logic soft-question model-theory nonstandard-analysis axioms asked Dec 15, 2015 at 13:48

mathoverflow.net

35 votes

What is... a grossone?

ct.category-theory lo.logic na.numerical-analysis model-theory nonstandard-analysis asked Dec 16, 2015 at 17:25

mathoverflow.net

35 votes

Is mathematical history written by the victors?

calculus real-analysis soft-question math-history nonstandard-analysis asked Jul 16, 2013 at 16:35

math.stackexchange.com

31 votes

Situation with Artemov's paper?

lo.logic asked Apr 16 at 19:13

mathoverflow.net

29 votes

Are infinitesimals dangerous?

calculus soft-question math-history nonstandard-analysis infinitesimals asked Feb 3, 2014 at 13:20

math.stackexchange.com

26 votes

Difference between sunrise and sunset?

visible-light atmospheric-science geophysics asked May 29, 2016 at 8:33

physics.stackexchange.com

22 votes

Euler's mathematics in terms of modern theories?

lo.logic soft-question ho.history-overview math-philosophy nonstandard-analysis asked Apr 9, 2013 at 14:43

mathoverflow.net

22 votes

Which universities teach true infinitesimal calculus?

undergraduate-education calculus reference-request infinitesimals asked Dec 8, 2014 at 15:01

matheducators.stackexchange.com

21 votes

Was the early calculus inconsistent?

lo.logic ho.history-overview nonstandard-analysis asked Mar 19, 2013 at 18:23

mathoverflow.net

Top Answers

134

Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio?

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131

If it took 10 minutes to saw a board into 2 pieces, how long will it take to saw another into 3 pieces?

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What seemingly innocuous results in mathematics require advanced proofs?

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If a compact set is covered by a finite union of open balls of same radii, can we always get a lesser radius?

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Is there a matrix $A$ such that for every other matrix $B$, we have $\mbox{tr}(AB) = 0$?

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Breakthroughs in mathematics in 2023

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What does it mean for a set to have Lebesgue measure zero?

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Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio?

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Did Cauchy think that uniform and pointwise convergence were equivalent?

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What is the use of hyperreal numbers?

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What scientists and mathematicians were afraid to publish their findings?

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A remark of Connes on non-standard analysis

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What is "Russian-style" mathematics?

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Bounding the area of a convex body bounded in a sphere

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Difference between completeness and compactness

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Why is it considered that $(\mathrm d x)^2=0$?

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What did Fermat do as a lawyer?

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What's new in higher dimensions?

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What kind of mathematical education did Leibniz have?

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What's wrong with Advanced Studies in Contemporary Mathematics (Kyungshang)?

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Mathematicians ahead of their time?

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Is $dx\,dy$ really a multiplication of $dx$ and $dy$?

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Homogeneous riemannian manifolds are complete. Trouble understanding proof.

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Who says understanding physics helps mathematicians? (A reference request) [Take the word "who" literally.]

mathoverflow.net

Are theorems in mathematics that have only been proved by contradiction applicable anywhere outside of mathematics?

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Why did Hilbert believe consistency implies existence?

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Improper integral diverges

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Who was the first to say "Shut up and calculate!"?

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Set theoretical multiverse and truths

mathoverflow.net

What is the most efficient way to find the area of a circle given three points on the rim

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