this post was submitted on 06 Dec 2023
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Asklemmy
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Well maybe this is too basic but here are the most important to me:
formal implication:
X โ Y (X implies Y)
means that if X is true, Y is also true. Note that the reverse is not necessarily true, Y being true does not mean X is true (or that X is false). There is truly a staggering number of people who make this mistake in thinking all the time. And If X โ Y and Y โ X then X โY (X if and only if Y).
Understanding โ (for all) and โ (there exists) is also very valuable.
Understanding these concepts is enough to understand the basic notation of a lot of math, with it you can start reading basic math papers and really expand your horizons.