Combining Texts

All the ideas for 'Aristotle and Descartes on Matter', 'Principles of Arithmetic, by a new method' and 'Armstrong on combinatorial possibility'

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11 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
15545 Armstrong's analysis seeks truthmakers rather than definitions [Lewis]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
15546 Predications aren't true because of what exists, but of how it exists [Lewis]
3. Truth / B. Truthmakers / 5. What Makes Truths / d. Being makes truths
15548 Say 'truth is supervenient on being', but construe 'being' broadly [Lewis]
3. Truth / B. Truthmakers / 9. Making Past Truths
14399 Presentism says only the present exists, so there is nothing for tensed truths to supervene on [Lewis]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
15653 We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
7. Existence / D. Theories of Reality / 9. States of Affairs
15543 How do things combine to make states of affairs? Constituents can repeat, and fail to combine [Lewis]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
19399 Prime matter is nothing when it is at rest [Leibniz]