Combining Texts
Ideas for
'Individuals without Sortals', 'Seven Quodlibets' and 'Thinking About Logic'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
17518
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Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers]
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17516
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If counting needs a sortal, what of things which fall under two sortals? [Ayers]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
11025
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Infinite cuts and successors seems to suggest an actual infinity there waiting for us [Read]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10979
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Although second-order arithmetic is incomplete, it can fully model normal arithmetic [Read]
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10980
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Second-order arithmetic covers all properties, ensuring categoricity [Read]
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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
10997
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Von Neumann numbers are helpful, but don't correctly describe numbers [Read]
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