Combining Texts

All the ideas for 'The Mental Life of Some Machines', 'Substance and Essence in Aristotle' and 'Mathematics without Foundations'

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13 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 / D. Essence of Objects / 2. Types of Essence
Aristotelian and Kripkean essentialism are very different theories [Witt]
9. Objects / D. Essence of Objects / 4. Essence as Definition
An Aristotelian essence is a nonlinguistic correlate of the definition [Witt]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
If unity is a matter of degree, then essence may also be a matter of degree [Witt]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Essences mainly explain the existence of unified substance [Witt]
9. Objects / E. Objects over Time / 12. Origin as Essential
Essential properties of origin are too radically individual for an Aristotelian essence [Witt]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
Instances of pain are physical tokens, but the nature of pain is more abstract [Putnam, by Lycan]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Reality is directional [Witt]