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www.hillelwayne.com | ||
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www.jeremykun.com
For those who aren't regular readers: as a followup to this post, there are four posts detailing the basic four methods of proof, with intentions to detail some more advanced proof techniques in the future. You can find them on this blog's primers page. Do you really want to get better at mathematics? Remember when you first learned how to program? I do. I spent two years experimenting with Java programs on my own in high school. |
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xenaproject.wordpress.com
A huge amount happened in the Lean theorem prover community in 2023; this blog post looks back at some of these events, plus some of what we have to look forward to in 2024. Modern mathematics I personally am a member of the Lean community because of its phenomenal mathematics library mathlib, which was born... |
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homotopytypetheory.org
Thierry Coquand and I have proved that, for a large class of algebraic structures, isomorphism implies equality (assuming univalence). A class of algebraic structures Structures in this class consist of a type, some operations on this type, and propositional axioms that can refer to operations and other axioms. N-ary functions are defined in the following... |
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bartoszmilewski.com
Previously: Topology as a Dietary Choice. Category theory lets us change the focus from individual objects to relationships between them. Since topology is defined using open sets, we'd start by concentrating on relations between sets. One such obvious relation is inclusion. It imposes a categorical structure on the subsets of a given set $latex X$.... |
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