Combining Texts

All the ideas for 'Set Theory', 'Truth-making without Truth-makers' and 'The Problem of the Soul'

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35 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Philosophy needs wisdom about who we are, as well as how we ought to be [Flanagan]
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
We resist science partly because it can't provide ethical wisdom [Flanagan]
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]
14. Science / A. Basis of Science / 4. Prediction
Explanation does not entail prediction [Flanagan]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
There are 'conceptual' explanations, with their direction depending on complexity [Schnieder]
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
In the 17th century a collisionlike view of causation made mental causation implausible [Flanagan]
15. Nature of Minds / B. Features of Minds / 3. Privacy
Only you can have your subjective experiences because only you are hooked up to your nervous system [Flanagan]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
We only have a sense of our self as continuous, not as exactly the same [Flanagan]
16. Persons / E. Rejecting the Self / 3. Narrative Self
The self is an abstraction which magnifies important aspects of autobiography [Flanagan]
We are not born with a self; we develop a self through living [Flanagan]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
For Buddhists a fixed self is a morally dangerous illusion [Flanagan]
16. Persons / F. Free Will / 1. Nature of Free Will
Normal free will claims control of what I do, but a stronger view claims control of thought and feeling [Flanagan]
Free will is held to give us a whole list of desirable capacities for living [Flanagan]
16. Persons / F. Free Will / 5. Against Free Will
People believe they have free will that circumvents natural law, but only an incorporeal mind could do this [Flanagan]
We only think of ourselves as having free will because we first thought of God that way [Flanagan]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
People largely came to believe in dualism because it made human agents free [Flanagan]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Behaviourism notoriously has nothing to say about mental causation [Flanagan]
17. Mind and Body / D. Property Dualism / 2. Anomalous Monism
Cars and bodies obey principles of causation, without us knowing any 'strict laws' about them [Flanagan]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
Physicalism doesn't deny that the essence of an experience is more than its neural realiser [Flanagan]
18. Thought / A. Modes of Thought / 3. Emotions / f. Emotion and reason
Emotions are usually very apt, rather than being non-rational and fickle [Flanagan]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Intellectualism admires the 'principled actor', non-intellectualism admires the 'good character' [Flanagan]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / e. Ethical cognitivism
Cognitivists think morals are discovered by reason [Flanagan]
22. Metaethics / B. Value / 2. Values / a. Normativity
Ethics is the science of the conditions that lead to human flourishing [Flanagan]
29. Religion / A. Polytheistic Religion / 3. Hinduism
The Hindu doctrine of reincarnation only appeared in the eighth century CE [Flanagan]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
The idea of the soul gets some support from the scientific belief in essential 'natural kinds' [Flanagan]