Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Definitiones cogitationesque metaphysicae' and 'The Theory of Logical Types'

expand these ideas     |    start again     |     specify just one area for these texts

8 ideas

5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
21566 'Propositional functions' are ambiguous until the variable is given a value [Russell]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
21567 'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17447 Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
23457 Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell]
21556 Classes are defined by propositional functions, and functions are typed, with an axiom of reducibility [Russell, by Lackey]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
21568 A one-variable function is only 'predicative' if it is one order above its arguments [Russell]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
12712 Substance is that which can act [Leibniz]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
12737 Nature can be fully explained by final causes alone, or by efficient causes alone [Leibniz]