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Learning Category Theory

10. kolovoza 2019.
Resources to learn Category Theory
Fotografija korisnika/ce @prathyvsh
· 2. kol 2019.

This is a beautiful and lucid paper on understanding basics of Category Theory — Rosetta Paper 1: How Categories Arise Naturally: Some set theory, high school algebra, and good understanding of arithmetic (+,-,×,÷) are the only prerequisites you need!

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· 30. srp 2019.

Category Theory has coopted so many everyday terms and have defined them as rigorous structures: Set, Type, Field, Group, Ring, Lattice, String, Fiber, Nerve, Lens, Family, Gauge, Locale, Membrane, Frame, Module, Bundle, Doctrine, Norm, Sheaf, Street, Universe!

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· 29. srp 2019.

TIL Girard's Paradox: Russell's Paradox's equivalent for types instead of sets: If today's dabbling in set/category theory was of any use, I think this can be expressed as: {Girard's Paradox ∈ Types} homomorphous with {Russell's Paradox ∈ Set}

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· 9. kol 2019.

Rosetta stone table on the isomorphisms between Category Theory, Physics, Topology, Logic, and Computation.

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· 10. kol 2019.

This looks like a neat deck with enough breadth on Category Theory and it's applications by :

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· 10. kol 2019.

TIL Category Theory is useful because: 1. Parsimony 2. Pattern atlas: Categorical patterns that can inform or be informed by patterns among/across other categories. 3. Automation: Enables (de)construction 4. Tools for thinking: Duality/Identity/Morphisms/Adjoints/Composition

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