Combining Philosophers

All the ideas for Plotinus, Goodman,N/Quine,W and John von Neumann

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27 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
3340 Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
15943 Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
3355 Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13489 Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
12336 A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
22716 Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
18179 For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
15925 Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
13672 All the axioms for mathematics presuppose set theory [Neumann]
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 / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
17619 We renounce all abstract entities [Goodman/Quine]
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]