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Questions tagged [mathematicians]

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Role of Alessandro Padoa in the development of modern mathematics

Here is an excerpt from ESSAI D’UNE THÉORIE ALGÉBRIQUE DES NOMBRES ENTIERS, PRÉCÉDÉ D’UNE INTRODUCTION LOGIQUE A UNE THÉORIE DÉDUCTIVE QUELCONQUE from Alessandro Padoa (as can be found here): nous ...
Weier's user avatar
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11 votes
10 answers
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Are there any well-known mathematicians who were marxists?

Inspired by this post I would like to ask whether there were any well-known (deceased) mathematicians who were marxists? In the early 1930s, Ernst Kolman approved the publication of the Russian ...
Mikhail Katz's user avatar
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3 votes
1 answer
139 views

Were there any criticisms of his first FTA proof during Gauss's lifetime?

According to several papers related to Gauss' FTA proof, in the first proof he said, “It seems to be well demonstrated that an algebraic curve neither ends abruptly (as it happens in the ...
Leonhard's user avatar
6 votes
10 answers
2k views

Who are the mathematicians interested in the history of mathematics?

I am looking at all mathematicians. Who are the mathematicians who are interested in the history of mathematics? I found that among modern mathematicians whose information is relatively easy to ...
user1274233's user avatar
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0 answers
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Who first came up with the idea of ​a scheme in algebraic geometry? [duplicate]

At first, I thought that Alexander Grothendieck was the first to come up with the idea of ​​the scheme and established it, but when I found out that the idea of ​​the scheme existed even before ...
Lie.'s user avatar
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0 answers
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Did Gauss ever explicitly claim ordinary least squares as his own?

I have seen Gauss claim in certain literature that he had been using the principle of least squares even before Legendre defined it. (It was probably a document calculating the orbit of the asteroid ...
Lie.'s user avatar
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4 votes
1 answer
881 views

Was it after Riemann's death that Weierstrass gave a counterexample to Riemann's mapping theorem?

Since the period when Weierstrass pointed out the flaw in the proof of Riemann's mapping theorem is reported differently in different documents, I have doubts about the exact timing. When exactly did ...
Lie.'s user avatar
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3 votes
1 answer
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Did Riemann take for granted the existence of a function that achieves the minimum in the ‘Dirichlet principle’?

Or did Riemann take for granted the existence of a function that achieves the minimum value under the special assumption that used the Dirichlet principle (the assumption of partial smoothness as ...
Lie.'s user avatar
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7 votes
2 answers
1k views

Who is Rudolf Bach?

I've googled but have not found anything about mathematician Rudolf Bach. In Riemannian or semi-Riemannian geometry such as general relativity, Conformal geometry, Wave propagation theory such as ...
Matha Mota's user avatar
1 vote
1 answer
296 views

From which university did Riemann acquired Ph.D?

Did Riemann get a Ph.D from the University of Berlin? Or did Riemann get his Ph.D from the University of Göttingen? I thought he had acquired it from the University of Berlin, but when I found out ...
Lie.'s user avatar
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0 votes
2 answers
100 views

Did Riemann leave any books?

As far as I know, Riemann never left any books, but after accidentally discovering 'on the hypotheses which lie at the bases of geometry' registered as Riemann's book on Google, I began to wonder. Did ...
Lie.'s user avatar
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0 answers
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Was Riemann's research style closer to the 'collaborative' style of Grothendieck and von Neumann?

Or was he more of an 'independent' style like his teacher Gauss? If you can give an objectively correct answer to this, what is the basis for it?
Lie.'s user avatar
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3 votes
1 answer
622 views

What did Gauss think about infinite?

Did Gauss think that the size of infinite was incomparable? Or did he leave some opinions about infinity or infinitesimals? Did he have any letters or unpublished research materials that can tell us ...
gaussianbonjuir's user avatar
1 vote
1 answer
132 views

Who was Riemann's most admired mathematician?

And is there any historical information for that? For example, a letter from Riemann saying that he admires someone the most?
pololist's user avatar
1 vote
0 answers
84 views

Is Gauss’ nickname really ‘The Prince of Mathematics’?

As far as I know, Gauss's nickname comes from the phrase GEORGIVS V REX HANNOVERAE MATHEMATICORVM PRINCIPI, which was the phrase on the medal the King of Hanover awarded Gauss after his death. I ...
sadsalk's user avatar
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4 votes
1 answer
1k views

Gauss has proven FTA several times. Are any of Gauss's FTA proofs considered rigorous in modern mathematics?

Gauss has proven FTA several times. Are any of Gauss's FTA proofs considered rigorous in modern mathematics? Or is it that, despite many proofs, there is not a single one that can be considered modern ...
Guess's user avatar
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1 vote
1 answer
2k views

Did Poincaré ever make mistakes in the books or papers he published? [closed]

As far as I know, he published a paper containing serious mathematical mistakes about the three-body problem, but he soon spent a lot of money to retrieve the paper and prove that it was impossible to ...
olipo's user avatar
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1 answer
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Is Gauss's 1849 proof of the fundamental theorem of algebra a rigorous proof

even by the standards of modern mathematics? Or are there some mistakes or errors?
user avatar
1 vote
1 answer
129 views

Who first proved that empty set is subset of all sets?

Who is the mathematician who proved that empty set is subset of all sets and made it known to most mathematicians? I looked into the ripple effects in the mathematical world that would occur if the ...
user1274233's user avatar
6 votes
1 answer
1k views

How come there is no portrait of Legendre?

Besides the famous cartoon, of course, there seems to be no portrait of Legendre. Legendre is well regarded nowadays and he was also quite influential at his time, for example, Jacobi and Abel praised ...
Croqueta's user avatar
0 votes
0 answers
37 views

Why did Kronecker say "the integers are the work of God, the rest is the work of man"? [duplicate]

To me, it seems no number is the work of God, they are all concepts of the mind. However, it seems negative numbers are more artificial than the rest of the numbers out there. So why did he describe ...
Demon's user avatar
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1 answer
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Is there a resource about integer constructions and motivations?

I have an assignment about the foundations of mathematics. I am trying to compile a list where I get common construction of integers and a small writing about the constructor and their explanation. ...
Fraser James's user avatar
13 votes
5 answers
5k views

Great battles in the history of mathematics

Could someone list me the most important battles between mathematicians which happened in history, especially such that strong emotions played role in that time? Perhaps the most known one is the ...
Widawensen's user avatar
1 vote
0 answers
47 views

Did Dedekind's construction of the integers and rational numbers become standard in mathematics textbooks?

I am referring to the construction using pairs of natural numbers in 1858. Since we use pretty much the same construction today in some analysis courses (Analysis 1, Terence Tao), except without the ...
Demon's user avatar
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1 vote
1 answer
171 views

When were negative numbers fully accepted into mathematics?

Dedekind gave a construction and explanation of integers and rational in 1858. This was as ordered pairs of natural numbers. I'm not sure if this was the standard view of these objects after this ...
Demon's user avatar
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0 votes
0 answers
32 views

Did Heinrich Weber have a structural approach to mathematics similar to Dedekind?

So I was reading a History of Mathematics by Katz, and noticed that the first definition of a field came from Weber, who had previously done extensive joint work with Dedekind. His definition was used ...
Demon's user avatar
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1 vote
1 answer
57 views

Did Dedekind's work directly influence the work of Hilbert?

I am wondering if Dedekind's theory about the structure of deductive science influenced the work of Hilbert. Hilbert obviously favored axioms at the beginnings of a deductive science, whereas Dedekind ...
Demon's user avatar
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1 vote
0 answers
77 views

What does Dedekind mean by "laws characteristic for the concepts"?

I’m slightly confused by what Dedekind means by “characteristic for the concepts they designate” in the quote below: "But [. . . ] these extensions of definitions no longer allow scope for ...
Jerry's user avatar
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1 vote
0 answers
71 views

Archimedes on hornangles?

Did Archimedes ever discuss hornangles? A hornangle (also known as angle of contingence, etc.) is the "crevice" between the circle and its tangent line at a point (from the modern viewpoint, ...
Mikhail Katz's user avatar
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1 vote
0 answers
75 views

Did the principle of permanence have an influence on mathematicians like Dedekind and Cauchy?

Around the time when mathematics was becoming formal, the notion of detaching from attaching "contextual interpretation" to symbols in algebra, up to the point of avoiding inconsistency (...
Demon's user avatar
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4 votes
1 answer
372 views

What were Auguste Comte's contributions to mathematics (if any)?

Auguste Comte is often described (e.g., on Wikipedia) as a “mathematician” besides being a philosopher of science. I am aware that he taught mathematics (he was at various times a répétiteur and/or ...
Gro-Tsen's user avatar
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1 answer
96 views

The history of motivations [closed]

Most histories, that I've encountered, of mathematics about the 18th century and onward focus on a chronology of publications, results, definitions, and similar "pure" interests. However, I ...
Addem's user avatar
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1 vote
2 answers
223 views

Bieberbach’s 1934 lecture on “German mathematics”

Does anyone know of an English translation of Ludwig Bieberbach’s infamous 1934 Berlin lecture, delivered at the annual conference of the Deutscher Verein zur Förderung des mathematischen und ...
James Propp's user avatar
1 vote
0 answers
69 views

Who was the first to define the limit of a convergent sequence with quantifiers $\forall$ and $\exists$?

I mean this definition: A sequence $(u_n)_{n\in \mathbb{N}}$ converges to a limit $l$ if and only if: $$\forall \epsilon>0 ~~\exists N \in \mathbb{N} ~~ \forall n \ge N ~~\vert u_n -l \vert < \...
someone's user avatar
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3 votes
1 answer
317 views

Who is Paul Graham's father?

In one of his essays, Y Combinator (YC) co-founder Paul Graham (PG) wrote$^\color{magenta}{\star}$ the following. My father is a mathematician. For most of my childhood he worked for Westinghouse, ...
Ooker's user avatar
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4 votes
1 answer
653 views

What is the opinion of famous mathematicians about academic research compared to mathematical competitions and olympiads? [closed]

I wonder what the quotes from mathematicians are about their views on academic research vs. math competitions. I can't find much, but I have found one: Math competitions are to research what spelling ...
User303131's user avatar
13 votes
10 answers
5k views

Who are the youngest mathematicians that published an original research article in a peer-reviewed journal?

There is a lot of interesting information about young mathematicians, but I cannot find any information about the youngest mathematician that published an original research article in a peer-reviewed ...
User303131's user avatar
3 votes
0 answers
112 views

What is Cardano trying to say in this passage of his Ars Magna Arithmeticæ?

It is well known that Cardano considered the problem of "dividing 10 into two parts the product of which is 40" in his Ars Magna. This problems leads to the complex solutions $5+ \sqrt{-15}$ ...
Charles Bukowski's user avatar
2 votes
1 answer
256 views

How did Emmy Noether become interested in abstract algebra?

Emmy Noether was initially interested in invariant theory. But how did she become interested in abstract algebra? And why did she become particularly interested in ring and ideal theory?
pokssin's user avatar
  • 309
5 votes
2 answers
2k views

Source of a Poincaré quote: "Logic sometimes makes monsters..."

There's a quote by Poincare on the "new functions", such as continuous functions without derivatives, that were appearing during the second half of the 19th century. The fullest version I've ...
JMJ's user avatar
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0 votes
0 answers
385 views

John von Neumann's thinking process

I'm interested in John von Neumann these days. So I searched this file. And I read books The Man from the Future and John Von Neumann: The Scientific Genius Who Pioneered the Modern Computer, Game ...
pokssin's user avatar
  • 309
1 vote
1 answer
167 views

What does the 'W.H.' stand for in 'J.H.W.H. Conway' in Knuth's book Surreal Numbers?

In his book Surreal Numbers Donald Knuth refers to John Horton Conway as J.H.W.H. Conway. The J is for John and the H for Horton, but what about the W and the H? I have searched for Conway's middle ...
dwolfeu's user avatar
  • 135
0 votes
0 answers
134 views

Who invented bit permutations like shuffle, butterfly and bit-reversal?

This question is about a class of periodic permutations,that are produced by applying finite permutations to the binary digits of all integers. In lack of a better name, they shall be called bit ...
Watchduck's user avatar
  • 101
3 votes
2 answers
610 views

Did Euler know Ancient Greek?

In a previous question on this website: What was Euler's first language?, Alexandre Eremenko wrote the following about Leonard Euler: There is little doubt that he also learnt French in his ...
user avatar
0 votes
0 answers
66 views

Who was the first to use bijections?

I know that Bourbaki were the first who used the word 'bijection', but one-to one functions were for sure used before them. So do you aware of the earliest examples of one-to-one correspondences?
kerzol's user avatar
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3 votes
1 answer
165 views

Who was the first woman to complete the physics and mathematics program in Zürich?

According to descriptions of Mileva Marić, Einstein's first wife, she was the second woman to complete the mathematics and physics program at the Zürich Polytechnikum. However, nobody points out who ...
Mauricio's user avatar
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3 votes
1 answer
881 views

Did Cardano predict the date of his death then commit suicide on that date?

Morris Kline (Mathematics in Western Culture, 1953): It is said that he prognosticated his own death and committed suicide on the date predicted in order to maintain his reputation as an astrologer. ...
user103496's user avatar
1 vote
0 answers
61 views

Gábor Szegő burial location

Yesterday I saw Pólya's burial spot in Alta Mesa Memorial Park in Palo Alto, CA. Actually, it was not a grave but an urn (which gives a new meaning to the term "Pólya's urn model"). ...
KCd's user avatar
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2 votes
1 answer
83 views

Historical background with Weber and Kronecker's Jugendtraum

https://mathoverflow.net/questions/74073/the-first-complete-proof-of-the-kronecker-weber-theorem I searched above link, and I was so interested about this post. Today, I have a question about ...
pokssin's user avatar
  • 309
2 votes
0 answers
183 views

How did Grothendieck come in contact with Category theory?

Category theory was formalized around 1950s, and Grothendieck made his breakthrough papers about 10-20 years from that time. I wish to know, how was it possible the ideas of Category Theory were so ...
Cathartic Encephalopathy's user avatar

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