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All the ideas for 'Frege philosophy of mathematics', 'On 'Generation and Corruption'' and 'Psychosemantics'

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55 ideas

2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
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]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
'Jocasta' needs to be distinguished from 'Oedipus's mother' because they are connected by different properties [Fodor]
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 / 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]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
A particle and a coin heads-or-tails pick out to perfectly well-defined predicates and properties [Fodor]
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]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
Evolution suggests that innate knowledge of human psychology would be beneficial [Fodor]
Contrary to commonsense, most of what is in the mind seems to be unlearned [Fodor]
Sticklebacks have an innate idea that red things are rivals [Fodor]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Changes in secondary qualities are caused by changes in primary qualities [Giles of Orleans]
15. Nature of Minds / A. Nature of Mind / 1. Mind / e. Questions about mind
In CRTT thought may be represented, content must be [Fodor]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
We can't use propositions to explain intentional attitudes, because they would need explaining [Fodor]
Intentionality doesn't go deep enough to appear on the physicists' ultimate list of things [Fodor]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Behaviourism has no theory of mental causation [Fodor]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
Any piece of software can always be hard-wired [Fodor]
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
Causal powers must be a crucial feature of mental states [Fodor]
17. Mind and Body / C. Functionalism / 6. Homuncular Functionalism
Mind is a set of hierarchical 'homunculi', which are made up in turn from subcomponents [Fodor, by Lycan]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Supervenience gives good support for mental causation [Fodor]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
Hume's associationism offers no explanation at all of rational thought [Fodor]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
If mind is just physical, how can it follow the rules required for intelligent thought? [Fodor]
18. Thought / A. Modes of Thought / 1. Thought
We may be able to explain rationality mechanically [Fodor]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology is the only explanation of behaviour we have [Fodor]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Belief and desire are structured states, which need mentalese [Fodor]
18. Thought / C. Content / 7. Narrow Content
Obsession with narrow content leads to various sorts of hopeless anti-realism [Fodor]
18. Thought / C. Content / 10. Causal Semantics
Do identical thoughts have identical causal roles? [Fodor]
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 / A. Nature of Meaning / 3. Meaning as Speaker's Intention
Grice thinks meaning is inherited from the propositional attitudes which sentences express [Fodor]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Whatever in the mind delivers falsehood is parasitic on what delivers truth [Fodor]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Many different verification procedures can reach 'star', but it only has one semantic value [Fodor]
19. Language / A. Nature of Meaning / 6. Meaning as Use
The meaning of a sentence derives from its use in expressing an attitude [Fodor]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
Meaning holism is a crazy doctrine [Fodor]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
Very different mental states can share their contents, so content doesn't seem to be constructed from functional role [Fodor]
19. Language / A. Nature of Meaning / 8. Synonymy
Mental states may have the same content but different extensions [Fodor]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]