Combining Texts

All the ideas for 'fragments/reports', 'Plural Quantification Exposed' and 'The Foundations of Mathematics'

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9 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension

10779

A comprehension axiom is 'predicative' if the formula has no bound second-order variables [Linnebo]

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

10781

A 'pure logic' must be ontologically innocent, universal, and without presuppositions [Linnebo]

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

18844

You would cripple mathematics if you denied Excluded Middle [Hilbert]

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

10783

Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo]

10778

Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo]

7. Existence / A. Nature of Existence / 3. Being / d. Non-being

18933

Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]

9. Objects / A. Existence of Objects / 1. Physical Objects

10782

The modern concept of an object is rooted in quantificational logic [Linnebo]

19. Language / F. Communication / 1. Rhetoric

5864	Destroy seriousness with laughter, and laughter with seriousness [Gorgias]

9866	Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]