Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'An Axiomatization of Set Theory' and 'Explanatory Coherence'

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9 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size

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Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

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All the axioms for mathematics presuppose set theory [Neumann]

14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence

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1: Coherence is a symmetrical relation between two propositions [Thagard, by Smart]

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2: An explanation must wholly cohere internally, and with the new fact [Thagard, by Smart]

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3: If an analogous pair explain another analogous pair, then they all cohere [Thagard, by Smart]

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4: For coherence, observation reports have a degree of intrinsic acceptability [Thagard, by Smart]

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5: Contradictory propositions incohere [Thagard, by Smart]

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6: A proposition's acceptability depends on its coherence with a system [Thagard, by Smart]

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

7903	The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]