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All the ideas for 'Frege philosophy of mathematics', 'The Conscious Mind' and 'The Semantic Tradition from Kant to Carnap'

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84 ideas

2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Choice suggests that intensions are not needed to ensure classes [Coffa]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
A prime number is one which is measured by a unit alone [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A number is a multitude composed of units [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Set theory isn't part of logic, and why reduce to something more complex? [Dummett]
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 / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
7. Existence / D. Theories of Reality / 2. Realism
Realism is just the application of two-valued semantics to sentences [Dummett]
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 / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
The existence of abstract objects is a pseudo-problem [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Abstract objects nowadays are those which are objective but not actual [Dummett]
It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects need the context principle, since they can't be encountered directly [Dummett]
9. Objects / F. Identity among Objects / 2. Defining Identity
Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity is a bizarre, brute and inexplicable constraint on possibilities [Chalmers]
Strong metaphysical necessity allows fewer possible worlds than logical necessity [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]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
We attribute beliefs to people in order to explain their behaviour [Chalmers]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
Platonism defines the a priori in a way that makes it unknowable [Coffa]
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
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 / 5. Generalisation by mind
Mathematics generalises by using variables [Coffa]
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]
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
An argument for conceptual priority is greater simplicity in explanation [Dummett]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
18. Thought / E. Abstraction / 8. Abstractionism Critique
To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
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]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
Relativity is as absolutist about space-time as Newton was about space [Coffa]
28. God / A. Divine Nature / 4. Divine Contradictions
Presumably God can do anything which is logically possible [Chalmers]