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Logic

The study of correct reasoning and of the forms that make arguments valid.

Updated Oct 22, 2026 · 1 min read · 4 connections

Early system
Aristotle’s syllogistic
Modern logic
Boole 1854, Frege 1879

History

Aristotle’s syllogisms dominated logic for two thousand years. In the 19th century George Boole and Gottlob Frege recast it in mathematical form, creating the formal systems later analyzed by Gödel.

Logic and computation

Formal logic underlies the definition of an algorithm and the turing machine, and digital circuits implement Boolean operations directly. It is also a core tool of epistemology.