Ideas from 'The Nature of Mathematics' by Charles Sanders Peirce [1898], by Theme Structure
[found in 'Philosophical Writings of Peirce' by Peirce,Charles Sanders (ed/tr Buchler,Justus) [Dover 1940,0-486-20217-8]].
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1. Philosophy / G. Scientific Philosophy / 3. Scientism
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Philosophy is an experimental science, resting on common experience
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2. Reason / B. Laws of Thought / 3. Non-Contradiction
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Self-contradiction doesn't reveal impossibility; it is inductive impossibility which reveals self-contradiction
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5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
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Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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Mathematics is close to logic, but is even more abstract
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10. Modality / B. Possibility / 1. Possibility
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Some logical possibility concerns single propositions, but there is also compatibility between propositions
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12. Knowledge Sources / D. Empiricism / 1. Empiricism
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Experience is indeed our only source of knowledge, provided we include inner experience
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12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
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The world is one of experience, but experiences are always located among our ideas
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22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
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Ethics is the science of aims
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