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'Wisdom', 'Abstract Objects' and 'Philosophy of Mathematics'
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7 ideas
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
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If a proposition is false, then its negation is true [Brown,JR]
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5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
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We should decide whether singular terms are genuine by their usage [Hale]
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Often the same singular term does not ensure reliable inference [Hale]
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Plenty of clear examples have singular terms with no ontological commitment [Hale]
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If singular terms can't be language-neutral, then we face a relativity about their objects [Hale]
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5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
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Axioms are either self-evident, or stipulations, or fallible attempts [Brown,JR]
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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
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Berry's Paradox finds a contradiction in the naming of huge numbers [Brown,JR]
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