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For questions about the quantitative study of topics such as numbers, structure, space, and change, carried out by investigating patterns

4 votes

Where did Mathematics establish its roots?

Alexandre Eremenko's answer is all good, but here are some extra things : Mathematics did sort of develop independently several times in history, I believe basically three times during the Iron Age : … Edit : Some more things, I guess : I cannot find much in the ways of sources indicating foreign origins of chinese mathematics, except perhaps babylonian (Chinese mathematics was pretty tied to astronomy …
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  • 947
6 votes

Are there theorems that have been truly lost?

I did once write an email to Robert Geroch, because an unpublished paper of his was listed as a bibliographical reference in a paper of Hajicek, which contained a few theorems regarding non-Hausdorff …
Slereah's user avatar
  • 947
4 votes
0 answers
124 views

The Principia Mathematica's missing chapters

The numbering of the chapters of Bertrand Russell and Alfred Whitehead's Principia Mathematica is the following : 1, 2, 3, 4, 5, 9, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 25, 30, etc overall, ther …
Slereah's user avatar
  • 947
6 votes

What are some concepts/discoveries in mathematics and science that found practical applicati...

I would probably say number theory, which had quite a lot of work on theorems regarding prime numbers that (as far as I know) did not get much use until the development of cryptography, such as the RS …
Slereah's user avatar
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3 votes
1 answer
370 views

Ancient drawing board in mathematics

According to Van Der Waerden's "Science Awakening", it was common for Ancient Greek mathematicians to use a board filled with sand to draw their figures, ie : But the ancients made their geometric dr …
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0 votes

What geometric results were first proven by assuming all real numbers are rational?

In particular, a lot of Pythagorean mathematics was the theory of proportions, a theory of proportion that was only valid for figures of rational proportions, which I would guess they imagined valid for …
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