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'fragments/reports', 'What are Sets and What are they For?' and 'A Structural Account of Mathematics'
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5 ideas
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
9561
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The mathematics of relations is entirely covered by ordered pairs [Chihara]
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5. Theory of Logic / G. Quantification / 6. Plural Quantification
14234
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If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
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14237
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We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
14245
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Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
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5. Theory of Logic / K. Features of Logics / 2. Consistency
9552
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Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara]
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