Combining Texts

All the ideas for 'Mathematics without Foundations', 'The Enneads' and 'The Beautiful in Music'

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23 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
9944 We understand some statements about all sets [Putnam]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
9937 I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
9939 It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
9940 Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
9941 Science requires more than consistency of mathematics [Putnam]
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
21812 Being is the product of pure intellect [Plotinus]
21817 The One does not exist, but is the source of all existence [Plotinus]
21824 The One is a principle which transcends Being [Plotinus]
7. Existence / A. Nature of Existence / 3. Being / g. Particular being
21813 Number determines individual being [Plotinus]
7. Existence / D. Theories of Reality / 4. Anti-realism
9943 You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
5506 If soul was like body, its parts would be separate, without communication [Plotinus]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
21827 The movement of Soul is continuous, but we are only aware of the parts of it that are sensed [Plotinus]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
21828 A person is the whole of their soul [Plotinus]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
21809 Our soul has the same ideal nature as the oldest god, and is honourable above the body [Plotinus]
21825 The soul is outside of all of space, and has no connection to the bodily order [Plotinus]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
20344 Music is not an expressive art, because it expresses no familiar emotions [Hanslick, by Wollheim]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
21826 The Soul reasons about the Right, so there must be some permanent Right about which it reasons [Plotinus]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
6922 Ecstasy is for the neo-Platonist the highest psychological state of man [Plotinus, by Feuerbach]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
21814 How can multiple existence arise from the unified One? [Plotinus]
21816 Soul is the logos of Nous, just as Nous is the logos of the One [Plotinus]
21815 Because the One is immobile, it must create by radiation, light the sun producing light [Plotinus]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
21808 Soul is author of all of life, and of the stars, and it gives them law and movement [Plotinus]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
21811 Even the soul is secondary to the Intellectual-Principle [Nous], of which soul is an utterance [Plotinus]