Combining Texts

All the ideas for 'fragments/reports', 'Two Dogmas of Empiricism' and 'Plurals and Complexes'

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54 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]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is a non-logical principle of set-theory [Hossack]
The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Extensional mereology needs two definitions and two axioms [Hossack]
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]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plural reference will refer to complex facts without postulating complex things [Hossack]
Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack]
A plural comprehension principle says there are some things one of which meets some condition [Hossack]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
The theory of the transfinite needs the ordinal numbers [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
I take the real numbers to be just lengths [Hossack]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
Set theory is the science of infinity [Hossack]
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]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We are committed to a 'group' of children, if they are sitting in a circle [Hossack]
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]
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 / C. Structure of Objects / 5. Composition of an Object
Complex particulars are either masses, or composites, or sets [Hossack]
The relation of composition is indispensable to the part-whole relation for individuals [Hossack]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack]
The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Aristotelian essence of the object has become the modern essence of meaning [Quine]
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]
18. Thought / A. Modes of Thought / 1. Thought
A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack]
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 / 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 / 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]
19. Language / F. Communication / 3. Denial
Contradiction is impossible, since only one side of the argument refers to the true facts [Prodicus, by Didymus the Blind]
27. Natural Reality / C. Space / 2. Space
We could ignore space, and just talk of the shape of matter [Hossack]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
People used to think anything helpful to life was a god, as the Egyptians think the Nile a god [Prodicus]
28. God / C. Attitudes to God / 5. Atheism
The gods are just personified human benefits [Prodicus]
He denied the existence of the gods, saying they are just exaltations of things useful for life [Prodicus]