Combining Texts

All the ideas for 'Mapping the Mind', 'The Metaphysics of Causation' and 'Set Theory'

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57 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]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical form can't dictate metaphysics, as it may propose an undesirable property [Schaffer,J]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
There is only one fact - the True [Schaffer,J]
7. Existence / E. Categories / 2. Categorisation
Brain lesions can erase whole categories of perception, suggesting they are hard-wired [Carter,R]
12. Knowledge Sources / B. Perception / 5. Interpretation
Sense organs don't discriminate; they reduce various inputs to the same electrical pulses [Carter,R]
The recognition sequence is: classify, name, locate, associate, feel [Carter,R, by PG]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
There seems to be no dividing line between a memory and a thought [Carter,R]
15. Nature of Minds / A. Nature of Mind / 7. Animal Minds
No one knows if animals are conscious [Carter,R]
15. Nature of Minds / A. Nature of Mind / 8. Brain
Pain doesn't have one brain location, but is linked to attention and emotion [Carter,R]
Proper brains appear at seven weeks, and neonates have as many neurons as adults do [Carter,R]
In primates, brain size correlates closely with size of social group [Carter,R]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
Consciousness involves awareness, perception, self-awareness, attention and reflection [Carter,R]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
There is enormous evidence that consciousness arises in the frontal lobes of the brain [Carter,R]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
Normal babies seem to have overlapping sense experiences [Carter,R]
15. Nature of Minds / B. Features of Minds / 7. Blindsight
In blindsight V1 (normal vision) is inactive, but V5 (movement) lights up [Carter,R]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Out-of-body experiences may be due to temporary loss of proprioception [Carter,R]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
Scans of brains doing similar tasks produce very similar patterns of activation [Carter,R]
Thinking takes place on the upper side of the prefrontal cortex [Carter,R]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
Babies show highly emotional brain events, but may well be unaware of them [Carter,R]
18. Thought / A. Modes of Thought / 3. Emotions / g. Controlling emotions
The only way we can control our emotions is by manipulating the outside world that influences them [Carter,R]
18. Thought / A. Modes of Thought / 5. Rationality / c. Animal rationality
A frog will starve to death surrounded by dead flies [Carter,R]
22. Metaethics / C. The Good / 3. Pleasure / d. Sources of pleasure
The 'locus coeruleus' is one of several candidates for the brain's 'pleasure centre' [Carter,R]
26. Natural Theory / C. Causation / 1. Causation
In causation there are three problems of relata, and three metaphysical problems [Schaffer,J]
Causation may not be transitive; the last event may follow from the first, but not be caused by it [Schaffer,J]
There are at least ten theories about causal connections [Schaffer,J]
26. Natural Theory / C. Causation / 4. Naturalised causation
Causation transcends nature, because absences can cause things [Schaffer,J]
Causation may not be a process, if a crucial part of the process is 'disconnected' [Schaffer,J]
A causal process needs to be connected to the effect in the right way [Schaffer,J]
Causation can't be a process, because a process needs causation as a primitive [Schaffer,J]
26. Natural Theory / C. Causation / 5. Direction of causation
At least four rivals have challenged the view that causal direction is time direction [Schaffer,J]
Causal order must be temporal, or else causes could be blocked, and time couldn't be explained [Schaffer,J]
Causal order is not temporal, because of time travel, and simultanous, joint or backward causes [Schaffer,J]
26. Natural Theory / C. Causation / 6. Causation as primitive
Causation is primitive; it is too intractable and central to be reduced; all explanations require it [Schaffer,J]
If causation is just observables, or part of common sense, or vacuous, it can't be primitive [Schaffer,J]
26. Natural Theory / C. Causation / 7. Eliminating causation
The notion of causation allows understanding of science, without appearing in equations [Schaffer,J]
Causation is utterly essential for numerous philosophical explanations [Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
If two different causes are possible in one set of circumstances, causation is primitive [Schaffer,J]
If causation is primitive, it can be experienced in ourselves, or inferred as best explanation [Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Events are fairly course-grained (just saying 'hello'), unlike facts (like saying 'hello' loudly) [Schaffer,J]
Causal relata are events - or facts, features, tropes, states, situations or aspects [Schaffer,J]
One may defend three or four causal relata, as in 'c causes e rather than e*' [Schaffer,J]
If causal relata must be in nature and fine-grained, neither facts nor events will do [Schaffer,J]
The relata of causation (such as events) need properties as explanation, which need causation! [Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
Our selection of 'the' cause is very predictable, so must have a basis [Schaffer,J]
Selecting 'the' cause must have a basis; there is no causation without such a selection [Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
The actual cause may make an event less likely than a possible more effective cause [Schaffer,J]
All four probability versions of causation may need causation to be primitive [Schaffer,J]