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 / 7. Against Metaphysics
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After 1903, Husserl avoids metaphysical commitments
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
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The truth of the axioms doesn't matter for pure mathematics, but it does for applied
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
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Mathematics is relations between properties we abstract from experience
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10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
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Light in straight lines is contingent a priori; stipulated as straight, because they happen to be so
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12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
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Aristotelians dislike the idea of a priori judgements from pure reason
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12. Knowledge Sources / C. Rationalism / 1. Rationalism
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Empiricists say rationalists mistake imaginative powers for modal insights
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13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
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The most popular view is that coherent beliefs explain one another
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14. Science / B. Scientific Theories / 3. Instrumentalism
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Operationalism defines concepts by our ways of measuring them
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18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
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Aristotelian justification uses concepts abstracted from experience
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18. Thought / D. Concepts / 4. Structure of Concepts / c. Classical concepts
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The essence of a concept is either its definition or its conceptual relations?
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19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
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Possible worlds semantics has a nice compositional account of modal statements
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19. Language / D. Propositions / 3. Concrete Propositions
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Unstructured propositions are sets of possible worlds; structured ones have components
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27. Natural Reality / C. Space / 3. Points in Space
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Maybe space has points, but processes always need regions with a size
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