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Ideas for 'Mahaprajnaparamitashastra', 'Prior Analytics' and 'Philosophy of Mathematics'

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8 ideas

5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-

11148

Deduction is when we suppose one thing, and another necessarily follows [Aristotle]

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 / E. Structures of Logic / 1. Logical Form

18896

Aristotle places terms at opposite ends, joined by a quantified copula [Aristotle, by Sommers]

5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic

3300	Aristotle's logic is based on the subject/predicate distinction, which leads him to substances and properties [Aristotle, by Benardete,JA]

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

11149

Affirming/denying sentences are universal, particular, or indeterminate [Aristotle]

5. Theory of Logic / G. Quantification / 3. Objectual Quantification

8079	Aristotelian logic has two quantifiers of the subject ('all' and 'some') [Aristotle, by Devlin]

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]