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- An aesthetic term referring to the ability of an idea to provide insight into mathematics, whether by unifying disparate fields, introducing a new perspective on a single field, or by providing a technique of proof which is either particularly simple, or which captures the intuition or imagination as to why the result it proves is true.
en.wikipedia.org/wiki/Glossary_of_mathematical_jargon
Since individuals differ in mathematical ability, the answer is that "something" is never obvious to everyone or to yourself. The crux of the joke is that it was only obvious to the professor after reflection, which is deliberate irony since
- word choice
Glaringly obvious describes that the thing [metaphorically]...
- word choice
Apr 18, 2014 · When learning mathematics, it's useful to prove "obvious" results in addition to "non-obvious" ones because: you "know" they're true before you start, which can save some frustration. the ease or difficulty of proving the obvious teaches you something interesting about the area you're working in.
Glaringly obvious describes that the thing [metaphorically] glares at you. It's a sight-based metaphor. A similar idiom is blindingly obvious. Blaringly obvious is a combination of glaring and blinding.
A Theorem is 'obvious' when one does not see an immediate obstruction (for instance a counter-example). Of course it may be true or false, depending on how you are lucky or not. An obvious true theorem whose proof is notoriously difficult is the existence of solutions to linear PDEs $P(i\nabla_x)u=f$ for constant coefficients operators ...
A term which shortcuts around calculation the mathematician perceives to be tedious or routine, accessible to any member of the audience with the necessary expertise in the field; Laplace used obvious (French: évident).
The list below has some of the most common symbols in mathematics. However, these symbols can have other meanings in different contexts other than math.
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An axiom is a self-evident or universally recognized truth. It is accepted as true, without proof, as the basis for argument. Like definitions, the truthfulness of any axiom is taken for granted; however, axioms do not define things – instead, they describe a fundamental, underlying quality about something.
