Combining Philosophers

All the ideas for Anon (Upan), Kenneth Kunen and Sidney Morgenbesser

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31 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13030 Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
13032 Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III
13033 Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13037 Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
13038 Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
13034 Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
13039 Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13036 Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
13029 Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
13031 Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
13040 Constructibility: V = L (all sets are constructible) [Kunen]
8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation
18465 An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen]
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 / D. Justice / 1. Basis of justice
21229 If everyone is treated with equal injustice, at least that is fair [Morgenbesser]
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)]