Ideas from 'A Priori' by Edwin D. Mares [2011], by Theme Structure
[found in 'A Priori' by Mares,Edwin [Acumen 2011,9781844652853]].
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1. Philosophy / E. Nature of Metaphysics / 6. Against Metaphysics
17713

After 1903, Husserl avoids metaphysical commitments

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Number / a. Axioms for numbers
17715

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
17716

Mathematics is relations between properties we abstract from experience

10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
17703

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
17714

Aristotelians dislike the idea of a priori judgements from pure reason

12. Knowledge Sources / C. Rationalism / 1. Rationalism
17705

Empiricists say rationalists mistake imaginative powers for modal insights

13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
17700

The most popular view is that coherent beliefs explain one another

14. Science / B. Scientific Theories / 3. Instrumentalism
17704

Operationalism defines concepts by our ways of measuring them

18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
17710

Aristotelian justification uses concepts abstracted from experience

18. Thought / D. Concepts / 4. Structure of Concepts / c. Classical concepts
17706

The essence of a concept is either its definition or its conceptual relations?

19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
17701

Possible worlds semantics has a nice compositional account of modal statements

19. Language / D. Propositions / 3. Concrete Propositions
17702

Unstructured propositions are sets of possible worlds; structured ones have components

27. Natural Reality / A. SpaceTime / 1. Space / c. Points in space
17708

Maybe space has points, but processes always need regions with a size
