Combining Philosophers

All the ideas for Tom Clark, John von Neumann and Anon (Upan)

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29 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]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
4741 A very powerful computer might have its operations restricted by the addition of consciousness [Clark,T]
16. Persons / A. Concept of a Person / 3. Persons as Reasoners
8143 Self is the rider, intellect the charioteer, mind the reins, and body the chariot [Anon (Upan)]
16. Persons / C. Self-Awareness / 2. Knowing the Self
8147 We have an apparent and a true self; only the second one exists, and we must seek to know it [Anon (Upan)]
18. Thought / D. Concepts / 5. Concepts and Language / a. Concepts and language
8155 Without speech we cannot know right/wrong, true/false, good/bad, or pleasant/unpleasant [Anon (Upan)]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
8142 The wise prefer good to pleasure; the foolish are drawn to pleasure by desire [Anon (Upan)]
25. Social Practice / E. Policies / 5. Education / c. Teaching
8151 Let your teacher be a god to you [Anon (Upan)]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
8153 By knowing one piece of clay or gold, you know all of clay or gold [Anon (Upan)]
27. Natural Reality / E. Cosmology / 2. Eternal Universe
8154 Originally there must have been just Existence, which could not come from non-existence [Anon (Upan)]
28. God / A. Divine Nature / 1. God
8148 Brahma, supreme god and protector of the universe, arose from the ocean of existence [Anon (Upan)]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
8144 Brahman is the Uncaused Cause [Anon (Upan)]
28. God / C. Attitudes to God / 2. Pantheism
8152 Earth, food, fire, sun are all forms of Brahman [Anon (Upan)]
29. Religion / A. Polytheistic Religion / 3. Hinduism
8159 Damayata - be self-controlled! Datta - be charitable! Dayadhwam - be compassionate! [Anon (Upan)]
8156 The gods are not worshipped for their own sake, but for the sake of the Self [Anon (Upan)]
8157 A man with desires is continually reborn, until his desires are stilled [Anon (Upan)]
8145 Those ignorant of Atman return as animals or plants, according to their merits [Anon (Upan)]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
8149 Charity and ritual observance distract from the highest good of religion [Anon (Upan)]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
8158 Do not seek to know Brahman by arguments, for arguments are idle and vain [Anon (Upan)]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
8146 The immortal in us is the part that never sleeps, and shapes our dreams [Anon (Upan)]
8150 The immortal Self and the sad individual self are like two golden birds perched on one tree [Anon (Upan)]