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Category Archives: mathematical aphorisms
Mathematical Aphorisms. Part 6.
There probably is no better illustration of the vagaries of notational fashion than the fact that nowadays, the numeral 1 is commonly used to denote the (conceptually very important) terminal category, while George Boole 170 years ago used 1 to denote … Continue reading
Mathematical Aphorisms. Part 5.
One should not pool together concepts, rather one should pull together concepts.
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Mathematical aphorisms. Part 4.
Bicategories are useful because they allow to constructively compare comparisons.
Mathematical Aphorisms. Part 3.
With the discovery of higher dimensional algebra, the standard technical term linear equation accidentally has acquired a nonstandard second meaning. In particular: oldsense linear equationnewsense linear equationany oldsense equation.
Mathematical Aphorisms. Part 2.
One should intentionally take an intensional view on the things one cares about.
Mathematical Aphorisms. Part 1.
It is by design that it has no content.
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Mathematical Aphorisms. Part 0.
In Constructive Mathematics, proofbyexhaustion is not in general exhaustive, though often still exhausting.