Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Modern Philosophy:introduction and survey' and 'works'

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64 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation
Philosophy aims to provide a theory of everything [Scruton]
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Quinean metaphysics just lists the beings, which is a domain with no internal structure [Schaffer,J on Quine]
1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
If p entails q, then p is sufficient for q, and q is necessary for p [Scruton]
2. Reason / E. Argument / 4. Open Question
We may define 'good' correctly, but then ask whether the application of the definition is good [Scruton]
3. Truth / A. Truth Problems / 1. Truth
A true proposition is consistent with every other true proposition [Scruton]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
The pragmatist does not really have a theory of truth [Scruton]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Set theory is full of Platonist metaphysics, so Quine aimed to keep it separate from logic [Quine, by Benardete,JA]
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
Quine wants V = L for a cleaner theory, despite the scepticism of most theorists [Quine, by Shapiro]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Two things can never entail three things [Quine, by Benardete,JA]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
If we had to name objects to make existence claims, we couldn't discuss all the real numbers [Quine]
5. Theory of Logic / G. Quantification / 1. Quantification
No sense can be made of quantification into opaque contexts [Quine, by Hale]
Finite quantification can be eliminated in favour of disjunction and conjunction [Quine, by Dummett]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Quine thought substitutional quantification confused use and mention, but then saw its nominalist appeal [Quine, by Marcus (Barcan)]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Could you be intellectually acquainted with numbers, but unable to count objects? [Scruton]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
For Quine, intuitionist ontology is inadequate for classical mathematics [Quine, by Orenstein]
If maths contains unprovable truths, then maths cannot be reduced to a set of proofs [Scruton]
Intuitionists only admit numbers properly constructed, but classical maths covers all reals in a 'limit' [Quine, by Orenstein]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
A logically perfect language could express all truths, so all truths must be logically expressible [Quine, by Hossack]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / c. Commitment of predicates
Quine says we can expand predicates easily (ideology), but not names (ontology) [Quine, by Noonan]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / d. Commitment of theories
For Quine everything exists theoretically, as reference, predication and quantification [Quine, by Benardete,JA]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Quine says the predicate of a true statement has no ontological implications [Quine, by Armstrong]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Quine suggests that properties can be replaced with extensional entities like sets [Quine, by Shapiro]
Quine says that if second-order logic is to quantify over properties, that can be done in first-order predicate logic [Quine, by Benardete,JA]
Quine brought classes into semantics to get rid of properties [Quine, by McGinn]
Don't analyse 'red is a colour' as involving properties. Say 'all red things are coloured things' [Quine, by Orenstein]
If possible worlds are needed to define properties, maybe we should abandon properties [Scruton]
8. Modes of Existence / D. Universals / 2. Need for Universals
Universals are acceptable if they are needed to make an accepted theory true [Quine, by Jacquette]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
Quine is committed to sets, but is more a Class Nominalist than a Platonist [Quine, by Macdonald,C]
9. Objects / A. Existence of Objects / 4. Impossible objects
Definite descriptions can't unambiguously pick out an object which doesn't exist [Lycan on Quine]
10. Modality / A. Necessity / 11. Denial of Necessity
Hume assumes that necessity can only be de dicto, not de re [Scruton]
10. Modality / B. Possibility / 1. Possibility
Quine wants identity and individuation-conditions for possibilia [Quine, by Lycan]
10. Modality / D. Knowledge of Modality / 3. A Posteriori Necessary
For Quine the only way to know a necessity is empirically [Quine, by Dancy,J]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
The conceivable can't be a test of the possible, if there are things which are possible but inconceivable [Scruton]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Epistemology is about the justification of belief, not the definition of knowledge [Scruton]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
In the Cogito argument consciousness develops into self-consciousness [Scruton]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
Maybe our knowledge of truth and causation is synthetic a priori [Scruton]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Touch only seems to reveal primary qualities [Scruton]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
We only conceive of primary qualities as attached to secondary qualities [Scruton]
If primary and secondary qualities are distinct, what has the secondary qualities? [Scruton]
12. Knowledge Sources / B. Perception / 3. Representation
The representational theory says perceptual states are intentional states [Scruton]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Quine's empiricism is based on whole theoretical systems, not on single mental events [Quine, by Orenstein]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
My belief that it will rain tomorrow can't be caused by its raining tomorrow [Scruton]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Logical positivism avoids scepticism, by closing the gap between evidence and conclusion [Scruton]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
To proclaim cultural relativism is to thereby rise above it [Quine, by Newton-Smith]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Why should you believe someone who says there are no truths? [Scruton]
14. Science / B. Scientific Theories / 3. Instrumentalism
For Quine, theories are instruments used to make predictions about observations [Quine, by O'Grady]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
Every event having a cause, and every event being determined by its cause, are not the same [Scruton]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
The very concept of a substance denies the possibility of mutual interaction and dependence [Scruton]
19. Language / B. Reference / 1. Reference theories
Quine says there is no matter of fact about reference - it is 'inscrutable' [Quine, by O'Grady]
19. Language / F. Communication / 4. Private Language
Wittgenstein makes it impossible to build foundations from something that is totally private [Scruton]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
The principle of charity only applies to the logical constants [Quine, by Miller,A]
23. Ethics / B. Contract Ethics / 5. Free Rider
Any social theory of morality has the problem of the 'free rider', who only pretends to join in [Scruton]
23. Ethics / D. Deontological Ethics / 2. Duty
Membership is the greatest source of obligation [Scruton]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
The categorical imperative is not just individual, but can be used for negotiations between strangers [Scruton]
26. Natural Theory / C. Causation / 1. Causation
'Cause' used to just mean any valid explanation [Scruton]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
Essence gives an illusion of understanding [Quine, by Almog]
27. Natural Reality / C. Space / 4. Substantival Space
Measuring space requires no movement while I do it [Scruton]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
'Existence' is not a predicate of 'man', but of the concept of man, saying it has at least one instance [Scruton]