Combining Texts

Ideas for 'Logical Consequence', 'Apriority and Existence' and 'Individuals without Sortals'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

8865	If 'the number of Democrats is on the rise', does that mean that 50 million is on the rise? [Yablo]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts

17518

Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers]

17516

If counting needs a sortal, what of things which fall under two sortals? [Ayers]

6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics

10692

Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics

8863	We must treat numbers as existing in order to express ourselves about the arrangement of planets [Yablo]

6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics

8862	Platonic objects are really created as existential metaphors [Yablo]