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All the ideas for 'Frege philosophy of mathematics', 'Mind and Body' and 'Two Dogmas of Empiricism'

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71 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Any statement can be held true if we make enough adjustment to the rest of the system [Quine]
2. Reason / D. Definition / 1. Definitions
Definition rests on synonymy, rather than explaining it [Quine]
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 / f. Names eliminated
Quine's arguments fail because he naively conflates names with descriptions [Fine,K on Quine]
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 / 4. Mathematical Empiricism / a. Mathematical empiricism
Quine blurs the difference between knowledge of arithmetic and of physics [Jenkins on Quine]
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 / 2. Reduction
A weaker kind of reductionism than direct translation is the use of 'bridge laws' [Kirk,R]
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 / 11. Ontological Commitment / e. Ontological commitment problems
Quine is hopeless circular, deriving ontology from what is literal, and 'literal' from good ontology [Yablo on Quine]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
9. Objects / A. Existence of Objects / 1. Physical Objects
If physical objects are a myth, they are useful for making sense of experience [Quine]
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 / D. Essence of Objects / 15. Against Essentialism
Aristotelian essence of the object has become the modern essence of meaning [Quine]
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 / 6. Logical Necessity
Contrary to some claims, Quine does not deny logical necessity [Quine, by McFetridge]
10. Modality / A. Necessity / 11. Denial of Necessity
Quine's attack on the analytic-synthetic distinction undermined necessary truths [Quine, by Shoemaker]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
Metaphysical analyticity (and linguistic necessity) are hopeless, but epistemic analyticity is a priori [Boghossian on Quine]
Quine challenges the claim that analytic truths are knowable a priori [Quine, by Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
Quine's objections to a priori knowledge only work in the domain of science [Horwich on Quine]
Science is empirical, simple and conservative; any belief can hence be abandoned; so no a priori [Quine, by Horwich]
Logic, arithmetic and geometry are revisable and a posteriori; quantum logic could be right [Horwich on Quine]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Empiricism makes a basic distinction between truths based or not based on facts [Quine]
Our outer beliefs must match experience, and our inner ones must be simple [Quine]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
The second dogma is linking every statement to some determinate observations [Quine, by Yablo]
14. Science / B. Scientific Theories / 6. Theory Holism
Statements about the external world face the tribunal of sense experience as a corporate body [Quine]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
Maybe we should see intentionality and consciousness as a single problem, not two [Kirk,R]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
If a bird captures a worm, we could say its behaviour is 'about' the worm [Kirk,R]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Behaviourism says intentionality is an external relation; language of thought says it's internal [Kirk,R]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Dualism implies some brain events with no physical cause, and others with no physical effect [Kirk,R]
17. Mind and Body / B. Behaviourism / 1. Behaviourism
Behaviourism seems a good theory for intentional states, but bad for phenomenal ones [Kirk,R]
Behaviourism offers a good alternative to simplistic unitary accounts of mental relationships [Kirk,R]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
In 'holistic' behaviourism we say a mental state is a complex of many dispositions [Kirk,R]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
The inverted spectrum idea is often regarded as an objection to behaviourism [Kirk,R]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
All meaningful psychological statements can be translated into physics [Kirk,R]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
Instead of representation by sentences, it can be by a distribution of connectionist strengths [Kirk,R]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
If mental states are multiply realisable, they could not be translated into physical terms [Kirk,R]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
It seems unlikely that most concepts are innate, if a theory must be understood to grasp them [Kirk,R]
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 / 1. Meaning
It is troublesome nonsense to split statements into a linguistic and a factual component [Quine]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
For behaviourists language is just a special kind of behaviour [Kirk,R]
19. Language / A. Nature of Meaning / 8. Synonymy
'Renate' and 'cordate' have identical extensions, but are not synonymous [Quine, by Miller,A]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
Once meaning and reference are separated, meaning ceases to seem important [Quine]
19. Language / B. Reference / 1. Reference theories
Behaviourists doubt whether reference is a single type of relation [Kirk,R]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
19. Language / E. Analyticity / 1. Analytic Propositions
Analytic statements are either logical truths (all reinterpretations) or they depend on synonymy [Quine]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
Did someone ever actually define 'bachelor' as 'unmarried man'? [Quine]
Quine's attack on analyticity undermined linguistic views of necessity, and analytic views of the a priori [Quine, by Boghossian]
Quine attacks the Fregean idea that we can define analyticity through synonyous substitution [Quine, by Thomasson]
The last two parts of 'Two Dogmas' are much the best [Miller,A on Quine]
Erasing the analytic/synthetic distinction got rid of meanings, and saved philosophy of language [Davidson on Quine]
The analytic needs excessively small units of meaning and empirical confirmation [Quine, by Jenkins]
If we try to define analyticity by synonymy, that leads back to analyticity [Quine]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]