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Ideas for 'fragments/reports', 'Philosophy of Mathematics' and 'Ontology and the Ambitions of Metaphysics'

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8 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

21657

Since properties can have properties, some theorists rank them in 'types' [Hofweber]

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

9605	If a proposition is false, then its negation is true [Brown,JR]

5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential

21653

Maybe not even names are referential, but are just by used by speakers to refer [Hofweber]

5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms

21636

'Singular terms' are not found in modern linguistics, and are not the same as noun phrases [Hofweber]

21637

If two processes are said to be identical, that doesn't make their terms refer to entities [Hofweber]

5. Theory of Logic / G. Quantification / 1. Quantification

21643

The inferential quantifier focuses on truth; the domain quantifier focuses on reality [Hofweber]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

9649	Axioms are either self-evident, or stipulations, or fallible attempts [Brown,JR]

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox

9638	Berry's Paradox finds a contradiction in the naming of huge numbers [Brown,JR]