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That is the same sentence just abbreviated and using standard words. Nobody says "suppose a world where", you just say "suppose that". Also, you just say "if ..
by diffeomorphism 5y ago
That is the same sentence just abbreviated and using standard words.
Nobody says "suppose a world where", you just say "suppose that".
Also, you just say "if ..., then ...", not "suppose if ..., then it necessarily turns out that ...".
> In my mind, the article is a bit poorly worded, but then again, maybe it makes sense for mathematicians.
That is the point. This example is given to first year students to show them why you need to be careful in your proofs and why properly wording/formulating statements is important.