Combining Texts

All the ideas for 'fragments/reports', 'Belief Truth and Knowledge' and 'works'

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6 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
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
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]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]
12. Knowledge Sources / B. Perception / 7. Causal Perception
Maybe experience is not essential to perception, but only to the causing of beliefs [Armstrong, by Scruton]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Externalism says knowledge involves a natural relation between the belief state and what makes it true [Armstrong]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]