Combining Texts

All the ideas for 'fragments/reports', 'Lectures on Aesthetics' and 'Believing the Axioms I'

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22 ideas

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]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
13011 New axioms are being sought, to determine the size of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13013 The Axiom of Extensionality seems to be analytic [Maddy]
13014 Extensional sets are clearer, simpler, unique and expressive [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13021 The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy]
13022 Infinite sets are essential for giving an account of the real numbers [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
13023 The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13024 Efforts to prove the Axiom of Choice have failed [Maddy]
13025 Modern views say the Choice set exists, even if it can't be constructed [Maddy]
13026 A large array of theorems depend on the Axiom of Choice [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
13019 The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
13018 Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy]
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]
25. Social Practice / E. Policies / 5. Education / b. Education principles
13304 Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
20820 Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]