Combining Texts

All the ideas for '', 'Ideas, Qualities and Corpuscles' and 'Constructibility and Mathematical Existence'

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14 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
We could talk of open sentences, instead of sets [Chihara, by Shapiro]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
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]
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
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]