Combining Texts

Ideas for 'Thinking About Mathematics', 'Philosophy of Logics' and 'Plural Quantification'

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7 ideas

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic

10638

A pure logic is wholly general, purely formal, and directly known [Linnebo]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

8729	Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]

5. Theory of Logic / G. Quantification / 6. Plural Quantification

10640

Instead of complex objects like tables, plurally quantify over mereological atoms tablewise [Linnebo]

10641

Traditionally we eliminate plurals by quantifying over sets [Linnebo]

10635

Second-order quantification and plural quantification are different [Linnebo]

10636

Plural plurals are unnatural and need a first-level ontology [Linnebo]

10639

Plural quantification may allow a monadic second-order theory with first-order ontology [Linnebo]