Combining Texts

All the ideas for 'Reply to Fourth Objections', 'Universals' and 'What Numbers Are'

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6 ideas

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]
8. Modes of Existence / D. Universals / 1. Universals
The distinction between particulars and universals is a mistake made because of language [Ramsey]
We could make universals collections of particulars, or particulars collections of their qualities [Ramsey]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Obviously 'Socrates is wise' and 'Socrates has wisdom' express the same fact [Ramsey]
17. Mind and Body / E. Mind as Physical / 6. Conceptual Dualism
The concept of mind excludes body, and vice versa [Descartes]