Combining Texts

All the ideas for 'The Concept of a Person', 'In Defence of Three-Dimensionalism' and 'Mathematics without Foundations'

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18 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
We understand some statements about all sets [Putnam]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Science requires more than consistency of mathematics [Putnam]
7. Existence / D. Theories of Reality / 4. Anti-realism
You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
9. Objects / E. Objects over Time / 3. Three-Dimensionalism
3-D says things are stretched in space but not in time, and entire at a time but not at a location [Fine,K]
Genuine motion, rather than variation of position, requires the 'entire presence' of the object [Fine,K]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
4-D says things are stretched in space and in time, and not entire at a time or at a location [Fine,K]
You can ask when the wedding was, but not (usually) when the bride was [Fine,K, by Simons]
9. Objects / E. Objects over Time / 5. Temporal Parts
Three-dimensionalist can accept temporal parts, as things enduring only for an instant [Fine,K]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / b. Scepticism of other minds
Maybe induction could never prove the existence of something unobservable [Ayer]
16. Persons / B. Nature of the Self / 1. Self and Consciousness
Consciousness must involve a subject, and only bodies identify subjects [Ayer]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
People own conscious states because they are causally related to the identifying body [Ayer]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
We identify experiences by their owners, so we can't define owners by their experiences [Ayer]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
Memory is the best proposal as what unites bundles of experiences [Ayer]
Not all exerience can be remembered, as this would produce an infinite regress [Ayer]
16. Persons / D. Continuity of the Self / 6. Body sustains Self
Personal identity can't just be relations of experiences, because the body is needed to identify them [Ayer]