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Logic and Philosophy of Science. Matter of this course is the language. The language in its logical structure. For example, consider the proposition "All women love a man" It can mean "every woman loves a man" or "All women love Jovanotti"
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Logic and Philosophy of Science • Matter of this course is the language. • The language in its logical structure. • For example, consider the proposition "All women love a man" • It can mean "every woman loves a man" or "All women love Jovanotti" • Even the phrase "every woman loves a man" is ambiguous. I explain better with "Every woman loves her man"? No, I don't want to refer to sexual and marital fidelity.
Analysis • Women = w • Man = m • L = Love • All = ∀ • some =∃
Logical structure, logical form • every woman loves a man = ∀m, ∀w (mLw) • The whole formula is pronounced “for anyting, call it m and w, such that mLw” • All women love Jovanotti" = ∃m, ∀w (wLm) • The whole formula is pronounced “there is something m, for anyting, call it w, such that mLw” • Since all philosophy is a critiqe of language and the apparent logical form of a proposition need not be its real one. • he last sentence is a conviction of Russell and Wittgenstein