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5:55 AM
@MartinSleziak These are the questions which are currently tagged .
Q: How should you respond to a student who asks whether a very nice physical example constitutes a proof?

Amir Asghari"Is this really a proof?" is the exact question e-mailed to me today from an undergraduate mathematics student whom I know as a highly competent student. The one sentence question was accompanied with the following demo: I am looking for a down-to-earth, non-authoritative answer who one may gi...

Q: Are there proofs that you feel you did not "understand" for a long time?

Amir AsghariPerhaps the "proofs" of ABC conjecture or newly released weak version of twin prime conjecture or alike readily come to your mind. These are not the proofs I am looking for. Indeed my question was inspired by some other posts seeking for a hint to understand a certain more or less well-establised...

Q: Experimental mathematics: how are floating point equations discovered/converted to exact equations?

vznthe 2005 AMS article/survey on experimental mathematics[1] by Bailey/Borwein mentions many remarkable successes in the field including new formulas for $\pi$ that were discovered via the PSLQ algorithm as well as many other examples. however, it appears to glaringly leave out any description of t...

Q: Proofs that require fundamentally new ways of thinking

gowersI do not know exactly how to characterize the class of proofs that interests me, so let me give some examples and say why I would be interested in more. Perhaps what the examples have in common is that a powerful and unexpected technique is introduced that comes to seem very natural once you are ...

Q: Non-rigorous reasoning in rigorous mathematics

David HarrisI was wondering what role non-rigorous, heuristic type arguments play in rigorous math. Are there examples of rigorous, formal proofs in which a non-rigorous reasoning still plays a central part? Here is an example of what I am thinking of. You want to prove that some formula $f(n)$ holds, and y...

Q: A question in the paper "the classification of algebras by dominant dimension"

PensonI'm reading the paper "the classification of algebras by dominant dimension" by Bruno J.Mueller, the link is here http://cms.math.ca/10.4153/CJM-1968-037-9. In the proof of lemma 3 on page 402, there is a place I can't understand. Who can tell me what $E_R \oplus * \cong \oplus X_R$ and $_AHom_...

Q: 12th grade - Ramanujan Partition theory

JosephI've been really trying to prove Ramanujan Partition theory, and different sources give me different explanations. Can someone please explain how Ramanujan (and Euler) found out the following equation for the number of partitions for a given integer? Any help is appreciated thank you so much! $...

If we discard the two most recent ones, the proofs tag seems to be quite a reasonable choice for those questions. (Although it would probably difficult to define the tag in some way and create a reasonable tag-wiki.)

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