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All the ideas for 'Thinking About Mathematics', 'The Conscious Mind' and 'Scientific Essentialism'

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102 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Ontology should give insight into or an explanation of the world revealed by science [Ellis]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
Real possibility and necessity has the logic of S5, which links equivalence classes of worlds of the same kind [Ellis]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
Humean conceptions of reality drive the adoption of extensional logic [Ellis]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Cauchy gave a formal definition of a converging sequence. [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Categories are the best foundation for mathematics [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro]
A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro]
Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro]
Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
'Impredicative' definitions refer to the thing being described [Shapiro]
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]
8. Modes of Existence / B. Properties / 1. Nature of Properties
The extension of a property is a contingent fact, so cannot be the essence of the property [Ellis]
8. Modes of Existence / B. Properties / 5. Natural Properties
There is no property of 'fragility', as things are each fragile in a distinctive way [Ellis]
8. Modes of Existence / B. Properties / 6. Categorical Properties
Typical 'categorical' properties are spatio-temporal, such as shape [Ellis]
The property of 'being an electron' is not of anything, and only electrons could have it [Ellis]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
'Being a methane molecule' is not a property - it is just a predicate [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Causal powers must necessarily act the way they do [Ellis]
Causal powers are often directional (e.g. centripetal, centrifugal, circulatory) [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Basic powers may not be explained by structure, if at the bottom level there is no structure [Ellis]
Maybe dispositions can be explained by intrinsic properties or structures [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
The most fundamental properties of nature (mass, charge, spin ...) all seem to be dispositions [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
A causal power is a disposition to produce forces [Ellis]
Powers are dispositions of the essences of kinds that involve them in causation [Ellis]
8. Modes of Existence / D. Universals / 1. Universals
There are 'substantive' (objects of some kind), 'dynamic' (events of some kind) and 'property' universals [Ellis]
Universals are all types of natural kind [Ellis]
9. Objects / D. Essence of Objects / 3. Individual Essences
Scientific essentialism doesn't really need Kripkean individual essences [Ellis]
9. Objects / D. Essence of Objects / 15. Against Essentialism
The old idea that identity depends on essence and behaviour is rejected by the empiricists [Ellis]
10. Modality / A. Necessity / 3. Types of Necessity
Necessities are distinguished by their grounds, not their different modalities [Ellis]
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 / C. Sources of Modality / 6. Necessity from Essence
Individual essences necessitate that individual; natural kind essences necessitate kind membership [Ellis]
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]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
We attribute beliefs to people in order to explain their behaviour [Chalmers]
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]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
14. Science / C. Induction / 3. Limits of Induction
If events are unconnected, then induction cannot be solved [Ellis]
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
Good explanations unify [Ellis]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Explanations of particular events are not essentialist, as they don't reveal essential structures [Ellis]
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]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
To give essentialist explanations there have to be natural kinds [Ellis]
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
Why should qualia fade during silicon replacement? [Chalmers]
Sometimes we don't notice our pains [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]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
The point of models in theories is not to idealise, but to focus on what is essential [Ellis]
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]
26. Natural Theory / B. Natural Kinds / 3. Knowing Kinds
There might be uninstantiated natural kinds, such as transuranic elements which have never occurred [Ellis]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
Natural kinds are distinguished by resting on essences [Ellis]
26. Natural Theory / B. Natural Kinds / 7. Critique of Kinds
If there are borderline cases between natural kinds, that makes them superficial [Ellis]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Laws don't exist in the world; they are true of the world [Ellis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
A proton must have its causal role, because without it it wouldn't be a proton [Ellis]
What is most distinctive of scientific essentialism is regarding processes as natural kinds [Ellis]
Scientific essentialism is more concerned with explanation than with identity (Locke, not Kripke) [Ellis]
The ontological fundamentals are dispositions, and also categorical (spatio-temporal and structural) properties [Ellis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
A primary aim of science is to show the limits of the possible [Ellis]
28. God / A. Divine Nature / 4. Divine Contradictions
Presumably God can do anything which is logically possible [Chalmers]