Combining Texts

All the ideas for 'Explanation: the state of play', 'Logicism Revisited' and 'Aristotle's Theory of Substance'

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14 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
Formalism is a bulwark of logical positivism [Musgrave]
8. Modes of Existence / B. Properties / 3. Types of Properties
A 'categorial' property is had by virtue of being or having an item from a category [Wedin]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance is a principle and a kind of cause [Wedin]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Form explains why some matter is of a certain kind, and that is explanatory bedrock [Wedin]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Audience-relative explanation, or metaphysical explanation based on information? [Stanford]
Explanation is for curiosity, control, understanding, to make meaningful, or to give authority [Stanford]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
We can explain by showing constitution, as well as showing causes [Stanford]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]