Combining Philosophers

All the ideas for Anjan Chakravarrty, Kenneth Kunen and Plutarch

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34 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
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
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
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
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
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
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
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
Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
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
Constructibility: V = L (all sets are constructible) [Kunen]
8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation
An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Powers give explanations, without being necessary for some class membership [Chakravartty]
9. Objects / D. Essence of Objects / 5. Essence as Kind
A kind essence is the necessary and sufficient properties for membership of a class [Chakravartty]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Cluster kinds are explained simply by sharing some properties, not by an 'essence' [Chakravartty]
9. Objects / E. Objects over Time / 9. Ship of Theseus
Replacing timbers on Theseus' ship was the classic illustration of the problem of growth and change [Plutarch]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
The sun is always bright; it doesn't become bright when it emerges [Plutarch]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Explanation of causal phenomena concerns essential kinds - but also lack of them [Chakravartty]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
Some philosophers say the soul is light [Plutarch]
When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch]
16. Persons / B. Nature of the Self / 7. Self and Body / c. Self as brain controller
Rather than being the whole soul, maybe I am its chief part? [Plutarch]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
If atoms have no qualities, they cannot possibly produce a mind [Plutarch]
18. Thought / A. Modes of Thought / 3. Emotions / f. Emotion and reason
Some say emotion is a sort of reason, and others say virtue concerns emotion [Plutarch]
20. Action / B. Preliminaries of Action / 1. Intention to Act / c. Reducing intentions
Action needs an affinity for a presentation, and an impulse toward the affinity [Plutarch]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Being manly and brave is the result of convention, not of human nature [Plutarch]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Animals don't value pleasure, as they cease sexual intercourse after impregnation [Plutarch]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The good life involves social participation, loyalty, temperance and honesty [Plutarch]
25. Social Practice / F. Life Issues / 5. Sexual Morality
Animals have not been led into homosexuality, because they value pleasure very little [Plutarch]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
If only atoms exist, how do qualities arise when the atoms come together? [Plutarch]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
Some kinds, such as electrons, have essences, but 'cluster kinds' do not [Chakravartty]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Many causal laws do not refer to kinds, but only to properties [Chakravartty]
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
People report seeing through rocks, or over the horizon, or impossibly small works [Plutarch]
28. God / C. Attitudes to God / 5. Atheism
Absurd superstitions make people atheist, not disharmony in nature [Plutarch]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
No one will ever find a city that lacks religious practices [Plutarch]