Combining Texts

All the ideas for 'fragments/reports', 'Lectures on Aesthetics' and 'Regressive Method for Premises in Mathematics'

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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]
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 / 2. Defining Truth
21793 Genuine truth is the resolution of the highest contradiction [Hegel]
3. Truth / A. Truth Problems / 3. Value of Truth
21795 What I hold true must also be part of my feelings and character [Hegel]
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]
10. Modality / A. Necessity / 8. Transcendental Necessity
490 Everything happens by reason and necessity [Leucippus]
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 / A. Aesthetic Experience / 1. Aesthetics
18549 Nineteenth century aesthetics focused on art rather than nature (thanks to Hegel) [Hegel, by Scruton]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
22043 Hegel largely ignores aesthetic pleasure, taste and beauty, and focuses on the meaning of artworks [Hegel, by Pinkard]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
22042 Natural beauty is unimportant, because it doesn't show human freedom [Hegel, by Pinkard]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
20413 For Hegel the importance of art concerns the culture, not the individual [Hegel, by Eldridge]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
20394 The purpose of art is to reveal to Spirit its own nature [Hegel, by Davies,S]
21794 The main purpose of art is to express the unity of human life [Hegel]
20415 Art forms a bridge between the sensuous world and the world of pure thought [Hegel]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
17633 The law of gravity has many consequences beyond its grounding observations [Russell]