Combining Texts

All the ideas for 'fragments/reports', 'Regressive Method for Premises in Mathematics' and 'Either/Or: a fragment of life'

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22 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]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
22087 Philosophy fails to articulate the continual becoming of existence [Kierkegaard, by Carlisle]
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]
3. Truth / A. Truth Problems / 8. Subjective Truth
5651 Traditional views of truth are tautologies, and truth is empty without a subject [Kierkegaard, by Scruton]
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]
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]
14. Science / C. Induction / 2. Aims of Induction
17631 Induction is inferring premises from consequences [Russell]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
23. Ethics / F. Existentialism / 2. Nihilism
22090 For me time stands still, and I with it [Kierkegaard, by Carlisle]
23. Ethics / F. Existentialism / 4. Boredom
9305 The plebeians bore others; only the nobility bore themselves [Kierkegaard]
23. Ethics / F. Existentialism / 5. Existence-Essence
5650 Reason is just abstractions, so our essence needs a subjective 'leap of faith' [Kierkegaard, by Scruton]
23. Ethics / F. Existentialism / 6. Authentic Self
22095 There are aesthetic, ethical and religious subjectivity [Kierkegaard, by Carlisle]
23. Ethics / F. Existentialism / 7. Existential Action
20747 What matters is not right choice, but energy, earnestness and pathos in the choosing [Kierkegaard]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
22091 Kierkegaard prioritises the inward individual, rather than community [Kierkegaard, by Carlisle]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
17633 The law of gravity has many consequences beyond its grounding observations [Russell]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
22088 Faith is like a dancer's leap, going up to God, but also back to earth [Kierkegaard, by Carlisle]