Mathematical Thinking Stanford, W3
the most difficult lecture Analysis of language - quantifiers irrational numbers ∀ for all ∃ there exists express an existence assertion. a confident and forceful statement of fact or belief. Combination of quantifiers there is no largest natural number. (∀𝑚∈ ℕ)(∃𝑛 ∈ ℕ)(𝑛>𝑚), True (∃𝑛 ∈ ℕ)(∀𝑚∈ ℕ)(𝑛>𝑚), False American Melanoma Foundation: “One American dies of Melanoma almost every hour.” ∃A∀H(A dies in hour H), False, misunderstanding: An American dies once every hour, ridiculous. ...