Stage 35 · Logic & Quantifiers

35.4.2 Negating a Universal Statement

35.4 Negation: Saying It the Other Way

Point 2 of 4

35.4.2 Negating a Universal Statement

Core idea

"Not everyone does" means "someone doesn't": ∀ becomes ∃, and the conclusion turns negative.

Module goal. Master the negation of statements, especially the pattern for statements with one quantifier, laying the foundation for rigorous reasoning ahead.
eastmath.com · 35.4 Negation: Saying It the Other Way · 35.4.2 Negating a Universal Statement