# Corollaries

Just balances, just weights, a just ephah, and a just hin, shall ye have: I am the LORD your God, which brought you out of the land of Egypt.

(Leviticus 19:36) KJV

A corollary is a statement that follows readily from a previous statement.

– Corollary, definition

In Peirce’s theory of deductive reasoning he held that corollarial deduction matches Aristotle’s conception of direct demonstration, which Aristotle regarded as the only thoroughly satisfactory demonstration.

That’s what the corollaries in Principia Mattymatica are: direct demonstration of the truth of its Axioms.