Combining Texts

All the ideas for 'The Enneads', 'Must We Believe in Set Theory?' and 'De Natura Corporis'

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27 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
10482 The logic of ZF is classical first-order predicate logic with identity [Boolos]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10492 A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
10485 Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10484 The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10491 Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
10483 Mathematics and science do not require very high orders of infinity [Boolos]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10490 Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
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]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
12710 As well as extension, bodies contain powers [Leibniz]
8. Modes of Existence / D. Universals / 1. Universals
10488 It is lunacy to think we only see ink-marks, and not word-types [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
10487 I am a fan of abstract objects, and confident of their existence [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
10489 We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
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]
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]
21815 Because the One is immobile, it must create by radiation, light the sun producing light [Plotinus]
21816 Soul is the logos of Nous, just as Nous is the logos of the One [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]