Combining Texts

All the ideas for 'works', 'On the Syllogism IV' and 'works'

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5 ideas

5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic

17744

De Morgan started the study of relations and their properties [De Morgan, by Walicki]

13501

De Morgan found inferences involving relations, which eluded Aristotle's syllogistic [De Morgan, by Hart,WD]

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

10800

The values of variables can't determine existence, because they are just expressions [Ryle, by Quine]

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]