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All the ideas for 'Mahaprajnaparamitashastra', 'Review of Husserl's 'Phil of Arithmetic'' and 'works'

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45 ideas

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]
2. Reason / D. Definition / 2. Aims of Definition
A definition need not capture the sense of an expression - just get the reference right [Frege, by Dummett]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
Since every definition is an equation, one cannot define equality itself [Frege]
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]
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)]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
Counting rests on one-one correspondence, of numerals to objects [Frege]
Husserl rests sameness of number on one-one correlation, forgetting the correlation with numbers themselves [Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
In a number-statement, something is predicated of a concept [Frege]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Our concepts recognise existing relations, they don't change them [Frege]
Numbers are not real like the sea, but (crucially) they are still objective [Frege]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The naïve view of number is that it is like a heap of things, or maybe a property of a heap [Frege]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
For Quine, intuitionist ontology is inadequate for classical mathematics [Quine, by Orenstein]
Intuitionists only admit numbers properly constructed, but classical maths covers all reals in a 'limit' [Quine, by Orenstein]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
If objects are just presentation, we get increasing abstraction by ignoring their properties [Frege]
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]
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 / 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]
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 / E. Relativism / 4. Cultural relativism
To proclaim cultural relativism is to thereby rise above it [Quine, by Newton-Smith]
14. Science / B. Scientific Theories / 3. Instrumentalism
For Quine, theories are instruments used to make predictions about observations [Quine, by O'Grady]
18. Thought / A. Modes of Thought / 1. Thought
Many people have the same thought, which is the component, not the private presentation [Frege]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Disregarding properties of two cats still leaves different objects, but what is now the difference? [Frege]
How do you find the right level of inattention; you eliminate too many or too few characteristics [Frege]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Number-abstraction somehow makes things identical without changing them! [Frege]
19. Language / A. Nature of Meaning / 2. Meaning as Mental
Psychological logicians are concerned with sense of words, but mathematicians study the reference [Frege]
Identity baffles psychologists, since A and B must be presented differently to identify them [Frege]
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 / 6. Interpreting Language / c. Principle of charity
The principle of charity only applies to the logical constants [Quine, by Miller,A]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
Essence gives an illusion of understanding [Quine, by Almog]