Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'works' and 'What Numbers Are'

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5 ideas

1. Philosophy / H. Continental Philosophy / 2. Phenomenology
If phenomenology is deprived of the synthetic a priori, it is reduced to literature [Benardete,JA on Husserl]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]