Combining Texts

All the ideas for 'On Hippocrates and Plato', 'The Semantic Tradition from Kant to Carnap' and 'The Nature of Mathematics'

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15 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
Philosophy is an experimental science, resting on common experience [Peirce]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
Self-contradiction doesn't reveal impossibility; it is inductive impossibility which reveals self-contradiction [Peirce]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Choice suggests that intensions are not needed to ensure classes [Coffa]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means [Peirce]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Mathematics is close to logic, but is even more abstract [Peirce]
10. Modality / B. Possibility / 1. Possibility
Some logical possibility concerns single propositions, but there is also compatibility between propositions [Peirce]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
Platonism defines the a priori in a way that makes it unknowable [Coffa]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Experience is indeed our only source of knowledge, provided we include inner experience [Peirce]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
The world is one of experience, but experiences are always located among our ideas [Peirce]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
Galen showed by experiment that the brain controls the body [Galen, by Hankinson]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
Mathematics generalises by using variables [Coffa]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics is the science of aims [Peirce]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Each part of the soul has its virtue - pleasure for appetite, success for competition, and rectitude for reason [Galen]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
Relativity is as absolutist about space-time as Newton was about space [Coffa]