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Results tagged with alternative-proof
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user 7311
Looking for a proof different from the standard proof(s) of a result
5
votes
Easy proof of the fact that isotropic spaces are Euclidean
There is a classic paper by Jordan and von Neumann where they prove results that allows this question is settled in an elementary way.
On Inner Products in Linear, Metric Spaces Author(s): P. Jordan …
- 15.3k
4
votes
Direct proof of irrationality?
Observe that if $\sqrt 2$ is rational, then there is some positive integer q such that $q \times \sqrt 2$ is an integer. Since the positive integers are well ordered, we may suppose that $q$ is the sm …
- 15.3k