Ideas from 'A Priori' by Edwin D. Mares [2011], by Theme Structure

[found in 'A Priori' by Mares,Edwin [Acumen 2011,978-1-84465-285-3]].

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1. Philosophy / E. Nature of Metaphysics / 6. Against Metaphysics
After 1903, Husserl avoids metaphysical commitments
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Number / a. Axioms for numbers
The truth of the axioms doesn't matter for pure mathematics, but it does for applied
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Mathematics is relations between properties we abstract from experience
10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
Light in straight lines is contingent a priori; stipulated as straight, because they happen to be so
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
Aristotelians dislike the idea of a priori judgements from pure reason
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Empiricists say rationalists mistake imaginative powers for modal insights
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
The most popular view is that coherent beliefs explain one another
14. Science / B. Scientific Theories / 3. Instrumentalism
Operationalism defines concepts by our ways of measuring them
18. Thought / D. Concepts / 3. Structure of Concepts / c. Classical concepts
The essence of a concept is either its definition or its conceptual relations?
18. Thought / D. Concepts / 5. Origin of Concepts / b. Empirical concepts
Aristotelian justification uses concepts abstracted from experience
19. Language / C. Semantics / 5. Possible Worlds Semantics
Possible worlds semantics has a nice compositional account of modal statements
19. Language / E. Propositions / 3. Types of Proposition
Unstructured propositions are sets of possible worlds; structured ones have components
26. Natural Theory / B. Concepts of Nature / 3. Space / b. Points in space
Maybe space has points, but processes always need regions with a size