Combining Texts

All the ideas for 'Dthat', 'Set Theory' and 'Consciousness Explained'

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36 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 / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
We can bring dispositions into existence, as in creating an identifier [Dennett, by Mumford]
9. Objects / D. Essence of Objects / 13. Nominal Essence
Words are fixed by being attached to similarity clusters, without mention of 'essences' [Dennett]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Light wavelengths entering the eye are only indirectly related to object colours [Dennett]
14. Science / C. Induction / 1. Induction
Brains are essentially anticipation machines [Dennett]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
We can't draw a clear line between conscious and unconscious [Dennett]
Perhaps the brain doesn't 'fill in' gaps in consciousness if no one is looking. [Dennett]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Conscious events can only be explained in terms of unconscious events [Dennett]
15. Nature of Minds / B. Features of Minds / 3. Privacy
We can know a lot of what it is like to be a bat, and nothing important is unknown [Dennett]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
"Qualia" can be replaced by complex dispositional brain states [Dennett]
15. Nature of Minds / B. Features of Minds / 6. Inverted Qualia
We can't assume that dispositions will remain normal when qualia have been inverted [Dennett]
15. Nature of Minds / B. Features of Minds / 7. Blindsight
In peripheral vision we see objects without their details, so blindsight is not that special [Dennett]
Blindsight subjects glean very paltry information [Dennett]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
People accept blurred boundaries in many things, but insist self is All or Nothing [Dennett]
16. Persons / B. Nature of the Self / 7. Self and Body / c. Self as brain controller
The psychological self is an abstraction, not a thing in the brain [Dennett]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
Selves are not soul-pearls, but artefacts of social processes [Dennett]
16. Persons / E. Rejecting the Self / 3. Narrative Self
We tell stories about ourselves, to protect, control and define who we are [Dennett]
We spin narratives about ourselves, and the audience posits a centre of gravity for them [Dennett]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
The brain is controlled by shifting coalitions, guided by good purposeful habits [Dennett]
17. Mind and Body / A. Mind-Body Dualism / 6. Epiphenomenalism
If an epiphenomenon has no physical effects, it has to be undetectable [Dennett]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Dualism wallows in mystery, and to accept it is to give up [Dennett]
17. Mind and Body / C. Functionalism / 6. Homuncular Functionalism
All functionalism is 'homuncular', of one grain size or another [Dennett]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
Visual experience is composed of neural activity, which we find pleasing [Dennett]
It is arbitrary to say which moment of brain processing is conscious [Dennett]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Are causal descriptions part of the causal theory of reference, or are they just metasemantic? [Kaplan, by Schaffer,J]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
Originally there were no reasons, purposes or functions; since there were no interests, there were only causes [Dennett]