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All the ideas for 'The Evolution of Modern Metaphysics', 'First-Order Modal Logic' and 'The Conscious Mind'

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98 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the most general attempt to make sense of things [Moore,AW]
4. Formal Logic / B. Propositional Logic PL / 3. Truth Tables
Each line of a truth table is a model [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 2. Tools of Modal Logic / a. Symbols of ML
Modal logic adds □ (necessarily) and ◊ (possibly) to classical logic [Fitting/Mendelsohn]
We let 'R' be the accessibility relation: xRy is read 'y is accessible from x' [Fitting/Mendelsohn]
The symbol ||- is the 'forcing' relation; 'Γ ||- P' means that P is true in world Γ [Fitting/Mendelsohn]
The prefix σ names a possible world, and σ.n names a world accessible from that one [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 2. Tools of Modal Logic / b. Terminology of ML
A 'constant' domain is the same for all worlds; 'varying' domains can be entirely separate [Fitting/Mendelsohn]
Modern modal logic introduces 'accessibility', saying xRy means 'y is accessible from x' [Fitting/Mendelsohn]
A 'model' is a frame plus specification of propositions true at worlds, written < G,R,||- > [Fitting/Mendelsohn]
A 'frame' is a set G of possible worlds, with an accessibility relation R, written < G,R > [Fitting/Mendelsohn]
Accessibility relations can be 'reflexive' (self-referring), 'transitive' (carries over), or 'symmetric' (mutual) [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 2. Tools of Modal Logic / c. Derivation rules of ML
Negation: if σ ¬¬X then σ X [Fitting/Mendelsohn]
Disj: a) if σ ¬(X∨Y) then σ ¬X and σ ¬Y b) if σ X∨Y then σ X or σ Y [Fitting/Mendelsohn]
Existential: a) if σ ◊X then σ.n X b) if σ ¬□X then σ.n ¬X [n is new] [Fitting/Mendelsohn]
T reflexive: a) if σ □X then σ X b) if σ ¬◊X then σ ¬X [Fitting/Mendelsohn]
D serial: a) if σ □X then σ ◊X b) if σ ¬◊X then σ ¬□X [Fitting/Mendelsohn]
B symmetric: a) if σ.n □X then σ X b) if σ.n ¬◊X then σ ¬X [n occurs] [Fitting/Mendelsohn]
4 transitive: a) if σ □X then σ.n □X b) if σ ¬◊X then σ.n ¬◊X [n occurs] [Fitting/Mendelsohn]
4r rev-trans: a) if σ.n □X then σ □X b) if σ.n ¬◊X then σ ¬◊X [n occurs] [Fitting/Mendelsohn]
If a proposition is possibly true in a world, it is true in some world accessible from that world [Fitting/Mendelsohn]
If a proposition is necessarily true in a world, it is true in all worlds accessible from that world [Fitting/Mendelsohn]
Conj: a) if σ X∧Y then σ X and σ Y b) if σ ¬(X∧Y) then σ ¬X or σ ¬Y [Fitting/Mendelsohn]
Bicon: a)if σ(X↔Y) then σ(X→Y) and σ(Y→X) b) [not biconditional, one or other fails] [Fitting/Mendelsohn]
Implic: a) if σ ¬(X→Y) then σ X and σ ¬Y b) if σ X→Y then σ ¬X or σ Y [Fitting/Mendelsohn]
Universal: a) if σ ¬◊X then σ.m ¬X b) if σ □X then σ.m X [m exists] [Fitting/Mendelsohn]
S5: a) if n ◊X then kX b) if n ¬□X then k ¬X c) if n □X then k X d) if n ¬◊X then k ¬X [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / b. System K
The system K has no accessibility conditions [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / c. System D
□P → P is not valid in D (Deontic Logic), since an obligatory action may be not performed [Fitting/Mendelsohn]
The system D has the 'serial' conditon imposed on its accessibility relation [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / d. System T
The system T has the 'reflexive' conditon imposed on its accessibility relation [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / e. System K4
The system K4 has the 'transitive' condition on its accessibility relation [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / f. System B
The system B has the 'reflexive' and 'symmetric' conditions on its accessibility relation [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
The system S4 has the 'reflexive' and 'transitive' conditions on its accessibility relation [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
System S5 has the 'reflexive', 'symmetric' and 'transitive' conditions on its accessibility relation [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
Modality affects content, because P→◊P is valid, but ◊P→P isn't [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 5. Epistemic Logic
In epistemic logic knowers are logically omniscient, so they know that they know [Fitting/Mendelsohn]
Read epistemic box as 'a knows/believes P' and diamond as 'for all a knows/believes, P' [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 6. Temporal Logic
F: will sometime, P: was sometime, G: will always, H: was always [Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The Barcan says nothing comes into existence; the Converse says nothing ceases; the pair imply stability [Fitting/Mendelsohn]
The Barcan corresponds to anti-monotonicity, and the Converse to monotonicity [Fitting/Mendelsohn]
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
'Predicate abstraction' abstracts predicates from formulae, giving scope for constants and functions [Fitting/Mendelsohn]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Properties supervene if you can't have one without the other [Chalmers]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Logical supervenience is when one set of properties must be accompanied by another set [Chalmers]
Natural supervenience is when one set of properties is always accompanied by another set [Chalmers]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Reduction requires logical supervenience [Chalmers]
7. Existence / D. Theories of Reality / 6. Physicalism
Physicalism says in any two physically indiscernible worlds the positive facts are the same [Chalmers, by Bennett,K]
7. Existence / E. Categories / 3. Proposed Categories
All facts are either physical, experiential, laws of nature, second-order final facts, or indexical facts about me [Chalmers]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
The Indiscernibility of Identicals has been a big problem for modal logic [Fitting/Mendelsohn]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Strong metaphysical necessity allows fewer possible worlds than logical necessity [Chalmers]
Metaphysical necessity is a bizarre, brute and inexplicable constraint on possibilities [Chalmers]
10. Modality / A. Necessity / 10. Impossibility
How can we know the metaphysical impossibilities; the a posteriori only concerns this world [Chalmers]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
Kripke is often taken to be challenging a priori insights into necessity [Chalmers]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Maybe logical possibility does imply conceivability - by an ideal mind [Chalmers]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
One can wrongly imagine two things being non-identical even though they are the same (morning/evening star) [Chalmers]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
□ must be sensitive as to whether it picks out an object by essential or by contingent properties [Fitting/Mendelsohn]
Objects retain their possible properties across worlds, so a bundle theory of them seems best [Fitting/Mendelsohn]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
Counterpart relations are neither symmetric nor transitive, so there is no logic of equality for them [Fitting/Mendelsohn]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
We attribute beliefs to people in order to explain their behaviour [Chalmers]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
12. Knowledge Sources / B. Perception / 1. Perception
'Perception' means either an action or a mental state [Chalmers]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
The structure of the retina has already simplified the colour information which hits it [Chalmers]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Reductive explanation is not the be-all and the end-all of explanation [Chalmers]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
Why are minds homogeneous and brains fine-grained? [Chalmers]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Can we be aware but not conscious? [Chalmers]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
Can we explain behaviour without consciousness? [Chalmers]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Hard Problem: why brains experience things [Chalmers]
What turns awareness into consciousness? [Chalmers]
Going down the scale, where would consciousness vanish? [Chalmers]
15. Nature of Minds / B. Features of Minds / 3. Privacy
Nothing in physics even suggests consciousness [Chalmers]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Is intentionality just causal connections? [Chalmers]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
Sometimes we don't notice our pains [Chalmers]
Why should qualia fade during silicon replacement? [Chalmers]
15. Nature of Minds / B. Features of Minds / 6. Inverted Qualia
It seems possible to invert qualia [Chalmers]
15. Nature of Minds / B. Features of Minds / 7. Blindsight
In blindsight both qualia and intentionality are missing [Chalmers]
16. Persons / C. Self-Awareness / 4. Errors in Introspection
When distracted we can totally misjudge our own experiences [Chalmers]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
Maybe dualist interaction is possible at the quantum level? [Chalmers]
Supervenience makes interaction laws possible [Chalmers]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
It is odd if experience is a very recent development [Chalmers]
17. Mind and Body / A. Mind-Body Dualism / 7. Zombies
If I can have a zombie twin, my own behaviour doesn't need consciousness [Chalmers]
17. Mind and Body / C. Functionalism / 3. Psycho-Functionalism
Does consciousness arise from fine-grained non-reductive functional organisation? [Chalmers]
17. Mind and Body / C. Functionalism / 7. Chinese Room
Maybe the whole Chinese Room understands Chinese, though the person doesn't [Chalmers]
17. Mind and Body / C. Functionalism / 8. Functionalism critique
The Chinese Mind doesn't seem conscious, but then nor do brains from outside [Chalmers]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
H2O causes liquidity, but no one is a dualist about that [Chalmers]
17. Mind and Body / D. Property Dualism / 4. Emergentism
Perhaps consciousness is physically based, but not logically required by that base [Chalmers]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Zombies imply natural but not logical supervenience [Chalmers]
17. Mind and Body / D. Property Dualism / 6. Mysterianism
Phenomenal consciousness is fundamental, with no possible nonphenomenal explanation [Chalmers, by Kriegel/Williford]
Nothing external shows whether a mouse is conscious [Chalmers]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Temperature (etc.) is agreed to be reducible, but it is multiply realisable [Chalmers]
18. Thought / A. Modes of Thought / 9. Indexical Thought
Indexicals may not be objective, but they are a fact about the world as I see it [Chalmers]
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
Rationalist 2D semantics posits necessary relations between meaning, apriority, and possibility [Chalmers, by Schroeter]
The 'primary intension' is non-empirical, and fixes extensions based on the actual-world reference [Chalmers]
Meaning has split into primary ("watery stuff"), and secondary counterfactual meaning ("H2O") [Chalmers]
The 'secondary intension' is determined by rigidifying (as H2O) the 'water' picked out in the actual world [Chalmers]
Primary and secondary intensions are the a priori (actual) and a posteriori (counterfactual) aspects of meaning [Chalmers]
We have 'primary' truth-conditions for the actual world, and derived 'secondary' ones for counterfactual worlds [Chalmers]
19. Language / D. Propositions / 1. Propositions
Two-dimensional semantics gives a 'primary' and 'secondary' proposition for each statement [Chalmers]
19. Language / E. Analyticity / 2. Analytic Truths
In two-dimensional semantics we have two aspects to truth in virtue of meaning [Chalmers]
28. God / A. Divine Nature / 4. Divine Contradictions
Presumably God can do anything which is logically possible [Chalmers]