Combining Texts

All the ideas for 'fragments/reports', 'Regressive Method for Premises in Mathematics' and 'Epistemology Naturalized'

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21 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
17641 Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell]
2. Reason / A. Nature of Reason / 6. Coherence
17638 If one proposition is deduced from another, they are more certain together than alone [Russell]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
17632 Non-contradiction was learned from instances, and then found to be indubitable [Russell]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17629 Which premises are ultimate varies with context [Russell]
17630 The sources of a proof are the reasons why we believe its conclusion [Russell]
17640 Finding the axioms may be the only route to some new results [Russell]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
17627 It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17628 Arithmetic was probably inferred from relationships between physical objects [Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
1635 Mathematics reduces to set theory (which is a bit vague and unobvious), but not to logic proper [Quine]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
17637 The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
17639 Believing a whole science is more than believing each of its propositions [Russell]
13. Knowledge Criteria / C. External Justification / 9. Naturalised Epistemology
7627 You can't reduce epistemology to psychology, because that presupposes epistemology [Maund on Quine]
8871 We should abandon a search for justification or foundations, and focus on how knowledge is acquired [Quine, by Davidson]
8826 If we abandon justification and normativity in epistemology, we must also abandon knowledge [Kim on Quine]
8827 Without normativity, naturalized epistemology isn't even about beliefs [Kim on Quine]
8899 Epistemology is a part of psychology, studying how our theories relate to our evidence [Quine]
14. Science / C. Induction / 2. Aims of Induction
17631 Induction is inferring premises from consequences [Russell]
19. Language / A. Nature of Meaning / 1. Meaning
8898 Inculcations of meanings of words rests ultimately on sensory evidence [Quine]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
8900 In observation sentences, we could substitute community acceptance for analyticity [Quine]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
17633 The law of gravity has many consequences beyond its grounding observations [Russell]