Combining Texts

All the ideas for 'Brainstorms:Essays on Mind and Psychology', 'Abstract Objects:intro to Axiomatic Metaphysics' and 'Structuralism Reconsidered'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
Numbers are identified by their main properties and relations, involving the successor function [MacBride]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
For mathematical objects to be positions, positions themselves must exist first [MacBride]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
Abstract objects are constituted by encoded collections of properties [Zalta, by Swoyer]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Properties make round squares and round triangles distinct, unlike exemplification [Zalta, by Swoyer]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Theories of intentionality presuppose rationality, so can't explain it [Dennett]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
Beliefs and desires aren't real; they are prediction techniques [Dennett]