Combining Texts

All the ideas for 'Thinking About Mathematics', 'Philosophy of Mind' and 'Sameness and Substance'

expand these ideas     |    start again     |     specify just one area for these texts


111 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Semantic facts are preferable to transcendental philosophical fiction [Wiggins]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
If one theory is reduced to another, we make fewer independent assumptions about the world [Kim]
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]
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 / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Maybe the concept needed under which things coincide must also yield a principle of counting [Wiggins]
The sortal needed for identities may not always be sufficient to support counting [Wiggins]
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 / c. Significance of supervenience
Supervenience suggest dependence without reduction (e.g. beauty) [Kim]
7. Existence / D. Theories of Reality / 2. Realism
Realist Conceptualists accept that our interests affect our concepts [Wiggins]
Conceptualism says we must use our individuating concepts to grasp reality [Wiggins]
7. Existence / D. Theories of Reality / 6. Physicalism
'Physical facts determine all the facts' is the physicalists' slogan [Kim]
7. Existence / E. Categories / 3. Proposed Categories
Animal classifications: the Emperor's, fabulous, innumerable, like flies, stray dogs, embalmed…. [Wiggins]
8. Modes of Existence / B. Properties / 6. Categorical Properties
Resemblance or similarity is the core of our concept of a property [Kim]
8. Modes of Existence / B. Properties / 7. Emergent Properties
Is weight a 'resultant' property of water, but transparency an 'emergent' property? [Kim]
Emergent properties are 'brute facts' (inexplicable), but still cause things [Kim]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Should properties be individuated by their causal powers? [Kim]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Individuation needs accounts of identity, of change, and of singling out [Wiggins]
Individuation can only be understood by the relation between things and thinkers [Wiggins]
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
Singling out extends back and forward in time [Wiggins]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
The only singling out is singling out 'as' something [Wiggins]
In Aristotle's sense, saying x falls under f is to say what x is [Wiggins]
Every determinate thing falls under a sortal, which fixes its persistence [Wiggins]
9. Objects / D. Essence of Objects / 5. Essence as Kind
Natural kinds are well suited to be the sortals which fix substances [Wiggins]
9. Objects / D. Essence of Objects / 11. Essence of Artefacts
Artefacts are individuated by some matter having a certain function [Wiggins]
9. Objects / D. Essence of Objects / 13. Nominal Essence
Nominal essences don't fix membership, ignore evolution, and aren't contextual [Wiggins]
9. Objects / E. Objects over Time / 1. Objects over Time
'What is it?' gives the kind, nature, persistence conditions and identity over time of a thing [Wiggins]
9. Objects / E. Objects over Time / 7. Intermittent Objects
A restored church is the same 'church', but not the same 'building' or 'brickwork' [Wiggins]
A thing begins only once; for a clock, it is when its making is first completed [Wiggins]
9. Objects / E. Objects over Time / 9. Ship of Theseus
Priests prefer the working ship; antiquarians prefer the reconstruction [Wiggins]
9. Objects / F. Identity among Objects / 2. Defining Identity
Leibniz's Law (not transitivity, symmetry, reflexivity) marks what is peculiar to identity [Wiggins]
Identity cannot be defined, because definitions are identities [Wiggins]
Identity is primitive [Wiggins]
9. Objects / F. Identity among Objects / 6. Identity between Objects
A is necessarily A, so if B is A, then B is also necessarily A [Wiggins]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
By the principle of Indiscernibility, a symmetrical object could only be half of itself! [Wiggins]
9. Objects / F. Identity among Objects / 9. Sameness
We want to explain sameness as coincidence of substance, not as anything qualitative [Wiggins]
10. Modality / B. Possibility / 9. Counterfactuals
Counterfactuals are either based on laws, or on nearby possible worlds [Kim, by PG]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
It is hard or impossible to think of Caesar as not human [Wiggins]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
Our sortal concepts fix what we find in experience [Wiggins]
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
Mind is basically qualities and intentionality, but how do they connect? [Kim]
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
Mind is only interesting if it has causal powers [Kim]
Experiment requires mental causation [Kim]
Beliefs cause other beliefs [Kim]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
Both thought and language have intentionality [Kim]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Intentionality involves both reference and content [Kim]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
Are pains pure qualia, or do they motivate? [Kim]
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
Pain has no reference or content [Kim]
15. Nature of Minds / B. Features of Minds / 6. Inverted Qualia
Inverted qualia and zombies suggest experience isn't just functional [Kim]
Crosswiring would show that pain and its function are separate [Kim, by PG]
16. Persons / C. Self-Awareness / 1. Introspection
Externalism about content makes introspection depend on external evidence [Kim]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
We often can't decide what emotion, or even sensation, we are experiencing [Kim]
How do we distinguish our anger from embarrassment? [Kim]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
Mental substance causation makes physics incomplete [Kim]
17. Mind and Body / A. Mind-Body Dualism / 6. Epiphenomenalism
If epiphenomenalism were true, we couldn't report consciousness [Kim]
17. Mind and Body / A. Mind-Body Dualism / 7. Zombies
Are inverted or absent qualia coherent ideas? [Kim]
What could demonstrate that zombies and inversion are impossible? [Kim]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Cartesian dualism fails because it can't explain mental causation [Kim]
17. Mind and Body / B. Behaviourism / 1. Behaviourism
Logical behaviourism translates mental language to behavioural [Kim]
Behaviourism reduces mind to behaviour via bridging principles [Kim]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Are dispositions real, or just a type of explanation? [Kim]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Snakes have different pain behaviour from us [Kim]
What behaviour goes with mathematical beliefs? [Kim]
Behaviour depends on lots of mental states together [Kim]
Behaviour is determined by society as well as mental states [Kim]
17. Mind and Body / C. Functionalism / 1. Functionalism
Machine functionalism requires a Turing machine, causal-theoretical version doesn't [Kim]
Neurons seem to be very similar and interchangeable [Kim]
17. Mind and Body / C. Functionalism / 7. Chinese Room
The person couldn't run Searle's Chinese Room without understanding Chinese [Kim]
17. Mind and Body / C. Functionalism / 8. Functionalism critique
How do functional states give rise to mental causation? [Kim]
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
Reductionism gets stuck with qualia [Kim]
Reductionism is impossible if there aren't any 'bridge laws' between mental and physical [Kim]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
Most modern physicalists are non-reductive property dualists [Kim]
We can't assess evidence about mind without acknowledging phenomenal properties [Kim]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Supervenience says all souls are identical, being physically indiscernible [Kim]
Zombies and inversion suggest non-reducible supervenience [Kim]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Token physicalism isn't reductive; it just says all mental events have some physical properties [Kim]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
The core of the puzzle is the bridge laws between mind and brain [Kim]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
Elimination can either be by translation or by causal explanation [Kim]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
Reductionists deny new causal powers at the higher level [Kim]
Without reductionism, mental causation is baffling [Kim]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / d. Explanatory gap
If an orange image is a brain state, are some parts of the brain orange? [Kim]
18. Thought / A. Modes of Thought / 2. Propositional Attitudes
How do we distinguish our attitudes from one another? [Kim]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology has been remarkably durable [Kim]
Maybe folk psychology is a simulation, not a theory [Kim]
A culture without our folk psychology would be quite baffling [Kim]
Folk psychology has adapted to Freudianism [Kim]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / c. Turing Test
A machine with a mind might still fail the Turing Test [Kim]
The Turing Test is too specifically human in its requirements [Kim]
18. Thought / C. Content / 5. Twin Earth
Two identical brain states could have different contents in different worlds [Kim]
Two types of water are irrelevant to accounts of behaviour [Kim]
18. Thought / C. Content / 6. Broad Content
Content may match several things in the environment [Kim]
'Arthritis in my thigh' requires a social context for its content to be meaningful [Kim]
Content is best thought of as truth conditions [Kim]
18. Thought / C. Content / 7. Narrow Content
Pain, our own existence, and negative existentials, are not external [Kim]
Content depends on other content as well as the facts [Kim]
18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
We conceptualise objects, but they impinge on us [Wiggins]
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
A 'conception' of a horse is a full theory of what it is (and not just the 'concept') [Wiggins]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
We assume people believe the obvious logical consequences of their known beliefs [Kim]
If someone says "I do and don't like x", we don't assume a contradiction [Kim]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
A common view is that causal connections must be instances of a law [Kim]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
Laws are either 'strict', or they involve a 'ceteris paribus' clause [Kim]