Combining Texts

All the ideas for 'The Impossibility of Superdupervenience', 'Ideas, Qualities and Corpuscles' and 'Principles of Arithmetic, by a new method'

expand these ideas     |    start again     |     specify just one area for these texts


15 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
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
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
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
7. Existence / C. Structure of Existence / 3. Levels of Reality
A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow]
7. Existence / D. Theories of Reality / 6. Physicalism
Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow]
The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
If the substantial form of brass implies its stability, how can it melt and remain brass? [Alexander,P]
9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle
The peripatetics treated forms and real qualities as independent of matter, and non-material [Alexander,P]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Can the qualities of a body be split into two groups, where the smaller explains the larger? [Alexander,P]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
Science has been partly motivated by the belief that the universe is run by God's laws [Alexander,P]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Alchemists tried to separate out essences, which influenced later chemistry [Alexander,P]
27. Natural Reality / C. Space / 4. Substantival Space
Absolute space either provides locations, or exists but lacks 'marks' for locations [Alexander,P]