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Questions tagged [examples]

For questions about specific occurrences of a distinct character (to be specified in the question) in the history of science or mathematics.

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What are some examples of elegant solutions?

There are various problems in history such as the Basel problem which was solved by Euler using the Taylor expansion of the sine, then later by Cauchy by bounding the partial sum, both solutions were ...
Philosophical Nature's user avatar
1 vote
0 answers
96 views

Who are some famous statisticians from the 20th and 21st centuries, who didn't have a formal training in statistics?

I'm looking for examples of people who made some important contributions to the field of statistics, yet their original training was not in statistics and they may have learned it 'on the job', while ...
Coris's user avatar
  • 11
7 votes
5 answers
454 views

Math concepts introduced by physicists and made rigorous later

I am looking for mathematical concepts (*) which have been introduced by physicists in a non rigorous way (e.g. without a formal definition, without rigorous proofs of the results, etc.) and used to ...
Weier's user avatar
  • 399
15 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
16 votes
10 answers
4k views

Works of scientists, philosophers and mathematicians that (re)surfaced after a long time

Sometimes, for one reason or the other, the works of scholars get lost. In some cases, they're lost forever. This happened to many books during the fire of the library of Alexandria, for instance. ...
Max Lonysa Muller's user avatar
0 votes
3 answers
294 views

Who are some scientists that were convicted for non-war non-political crimes?

I discovered that John Robert Schrieffer (Nobel Prize in Physics 1972 for superconductivity theory) was in prison after a tragic car accident (1 person died, 7 were injured) where he was driving ...
Mauricio's user avatar
  • 5,381
3 votes
7 answers
581 views

Examples of flattering comments from a famous scientist concerning a young colleague

I want to know examples of very flattering comments from famous scientists or mathematicians concerning younger colleagues. Here's an example of what I have in mind (I shall provide more as an answer):...
José Carlos Santos's user avatar
4 votes
6 answers
379 views

Examples of mathematicians who applied to patent their work

MIT's RSA encryption was granted a patent although it was not enforced for non-commercial applications. Similarly for Stanford's PGP encryption algorithm. However, these are institutions rather than ...
nwr's user avatar
  • 7,227
3 votes
6 answers
464 views

What are some physicists that wrote literary works?

As usual when I see an article about asking about mathematicians, I cannot help to ask what about physics? Inspired by Literary works authored by mathematicians what are some physicist that also were ...
Mauricio's user avatar
  • 5,381
3 votes
1 answer
123 views

Historical examples of frauds discovered because someone tried to mimic a uniform random sequence

So, I'm preparing a talk about the well known fact that humans are bad at the task of generating uniformly random sequences of numbers when asked to do so. I would like to spice the talk a bit by ...
Swike's user avatar
  • 131
6 votes
8 answers
2k views

Are there any well known mathematicians who were fascists?

I only recently learned that Pascual Jordan, a well known physicist, with significant contributions to the development of early quantum mechanics was a paid member of the Nazi Party. He in fact joined ...
Mozibur Ullah's user avatar
4 votes
1 answer
291 views

What were some historically important Fermi estimates in the history of science?

What were some back-of-the-envelope estimates that scientists made where the result of the estimate was important to either the intellectual development of the field or had significant social ...
Mark Eichenlaub's user avatar
2 votes
2 answers
2k views

What are the definitive experiments/phenomena which motivate quantum mechanics?

The double slit experiment is usually given as the foremost example of a physical experiment that requires quantum mechanics to satisfactorily explain. However, every account i've seen of it (such as ...
pprof's user avatar
  • 23
11 votes
17 answers
1k views

Examples of papers co-authored by parent/child, or siblings

I hope this question is not inappropriate for this site; I found hsm.stackexchange better suited for it than MathOverflow or math.stackexchange. The motivation for it is just curiosity. Question: ...
Torsten Schoeneberg's user avatar
11 votes
4 answers
604 views

What are some of the earliest mentions of scientific "cranks"?

Often professors in math and physics academia have inboxes full of people claiming to have solved deep problems such as dark matter, black holes, prime number conjectures and claim that many big names ...
mather's user avatar
  • 143
86 votes
18 answers
27k views

Examples of when the professional scientists or mathematicians were wrong, but the nonprofessionals were right

What are the most glaring examples — if any — of when the professional scientists or mathematicians were wrong, but the nonprofessionals were right?
Seth Rich's user avatar
  • 869
16 votes
3 answers
829 views

What are natural science concepts that were once thought the same, but grew to be distinguished?

The history of physics is full of examples of phenomena that used to be described independently, until additional insight proved they were the same thing. Some famous instances are motion of bullets ...
Alexis's user avatar
  • 285
8 votes
5 answers
2k views

Failures in math

I would like to have help in producing examples of mathematicians that, in some sense I'll explain below,turned their career into failure. I am mainly interested in examples from XIX and XXth century. ...
Nicola Ciccoli's user avatar
1 vote
3 answers
4k views

Famous messy scientists

Which scientists were known to be messy? I know of Albert Einstein: And of Jean Piaget: Are there other examples?
Surb's user avatar
  • 121
2 votes
0 answers
388 views

The Pedagogy of Physics -- Bob and Alice?

It seems that almost every where that physics is taught, in particular teaching relativity or quantum phenomena, that examples or demonstrations using persons Bob and Alice is a common tradition. ...
K7PEH's user avatar
  • 1,149
24 votes
22 answers
5k views

Literary works authored by mathematicians

At a first glance, Mathematics and Literature look like two completely unrelated subjects. I wonder whether there are examples of acclaimed mathematicians which wrote novels, poems, or other ...
Ludwig's user avatar
  • 553
6 votes
1 answer
239 views

Source for Weierstrass's quote "Any function addition law is due to an elliptic curve lurking in the background."

"Any function addition law is due to an elliptic curve lurking in the background." When I was reading about the origin of the concept of a genus, I came across a quote along these lines, I believe ...
Catherine Ray's user avatar
5 votes
4 answers
824 views

Scientific discoveries that were made "late"

I'd like to ask a similar question from Math.SE for the natural sciences (physics, chemistry, biology and allied disciplines). What are examples of scientific results that were discovered ...
Superbest's user avatar
  • 151
8 votes
3 answers
2k views

Scientists with exceptionally good or bad memory

I'd like to know about examples of prominent scientists having exceptionally good memory, with anecdotes if possible, and how it affected their work. It would also be interesting to see examples of ...
hjhjhj57's user avatar
  • 1,152
14 votes
5 answers
726 views

Which school of philosophy motivated thinking about spaces of higher dimension?

I'm trying to make a link between important mathematical breakthroughs in history and the important philosophical schools at the time. I realize that this topic is awfully broad and could be the ...
hjhjhj57's user avatar
  • 1,152
16 votes
8 answers
9k views

Famous Scientific Conflicts and Controversies

To clear any misunderstandings, I am interested not in the gossipy aspect of the matter (i.e. conflicts that had mainly to do with character-clashes and idiosyncratic psychs) but rather in conflicts ...
Alecos Papadopoulos's user avatar
18 votes
5 answers
764 views

Considered a breakthrough at its time – almost forgotten nowadays

In the comments on this question on Physics about the usefulness of expensive experiments such as the CERN, the following short discussion happened: Has there ever been a major basic science result ...
Wrzlprmft's user avatar
  • 1,052
18 votes
1 answer
4k views

Examples of Kuhn loss?

A Kuhn loss is: a success, empirical or theoretical, of a prior theory – or paradigm as Kuhn would have preferred – that does not carry over to the theory or paradigm that replaced it. [Midwinter ...
Michael Weiss's user avatar
50 votes
5 answers
6k views

Was Occam’s razor ever wrong?

In brief, I am looking for an example where Occam’s razor favoured a theory A over another theory B, but theory B turned out to be a better description of reality later. But let me formulate some ...
Wrzlprmft's user avatar
  • 1,052
18 votes
4 answers
856 views

Scientific progress claimed to be caused by dreaming

Kekulé, who discovered the chemical formula for benzene in 1865, claimed that he had guessed the ring formula with the alternating single and double bonds in a day-dream. Are there similar examples of ...
Felix's user avatar
  • 1,597