Combining Texts

All the ideas for 'In Metaphysics', 'Conceptions of Consequence' and 'works'

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
3338 Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
5897 0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
16660 Are things distinct if they are both separate, or if only one of them can be separate? [Duns Scotus, by Pasnau]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
16626 Substance is only grasped under the general heading of 'being' [Duns Scotus]
11. Knowledge Aims / A. Knowledge / 2. Understanding
18810 Aristotle's proofs give understanding, so it can't be otherwise, so consequence is necessary [Smiley, by Rumfitt]