Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Frege on Apriority (with ps)' and 'Philosophy of Mind: 1950-2000'

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9 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form
We now have a much more sophisticated understanding of logical form in language [Burge]
     Full Idea: The second half of the twentieth century has seen the development of a vastly more sophisticated sense of logical form, as applied to natural languages.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.462)
     A reaction: Burge cites this as one of the three big modern developments (along with the critique of logical positivism, and direct reference/anti-individualism). Vagueness may be the last frontier for this development.
6. Mathematics / A. Nature of Mathematics / 2. Geometry
The equivalent algebra model of geometry loses some essential spatial meaning [Burge]
     Full Idea: Geometrical concepts appear to depend in some way on a spatial ability. Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of the propositions seems to me to be thereby lost.
     From: Tyler Burge (Frege on Apriority (with ps) [2000], 4)
     A reaction: I think this is a widely held view nowadays. Giaquinto has a book on it. A successful model of something can't replace it. Set theory can't replace arithmetic.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Peano arithmetic requires grasping 0 as a primitive number [Burge]
     Full Idea: In the Peano axiomatisation, arithmetic seems primitively to involve the thought that 0 is a number.
     From: Tyler Burge (Frege on Apriority (with ps) [2000], 5)
     A reaction: Burge is pointing this out as a problem for Frege, for whom only the logic is primitive.
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]
     Full Idea: Whereas Leibniz and Frege predicate apriority primarily of truths (or more fundamentally, proofs of truths), Kant predicates apriority primarily of cognition and the employment of representations.
     From: Tyler Burge (Frege on Apriority (with ps) [2000], 1)
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
Anti-individualism says the environment is involved in the individuation of some mental states [Burge]
     Full Idea: Anti-individualism is the view that not all of an individual's mental states and events can be type-individuated independently of the nature of the entities in the individual's physical or social environment environment.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.453)
     A reaction: While the Twin Earth experiment emphasises the physical environment, Burge has been responsible for emphasising the social environment. The suspicion is that the whole concept of 'individual' minds will collapse on this view.
Broad concepts suggest an extension of the mind into the environment (less computer-like) [Burge]
     Full Idea: Certain thought experiments made trouble for standard functionalism, which limits input/output to the surface of an individual; proposals to extend this into the environment reduces the reliance on a computer paradigm, but increases complexity.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.454)
     A reaction: [He has the Twin Earth experiment in mind] The jury is out on this, but it looks a bit of a slippery slope. Accounts of action and responsibility need a fairly sharp concept of an individual. Externalism begins to look like just a new scepticism.
16. Persons / C. Self-Awareness / 2. Knowing the Self
Anti-individualism may be incompatible with some sorts of self-knowledge [Burge]
     Full Idea: The idea of anti-individualism raised problems about self-knowledge. The question is whether anti-individualism is compatible with some sort of authoritative or privileged warrant for certain types of self-knowledge.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.457)
     A reaction: [See under 'Nature of Minds' for 'Anti-individualism'] The thought is that if your mind is not entirely in your head, you can no longer be an expert on it. It might go the other way: obviously we can be self-experts, so anti-individualism is wrong.
17. Mind and Body / C. Functionalism / 1. Functionalism
Some qualities of experience, like blurred vision, have no function at all [Burge]
     Full Idea: There appear to be qualitative aspects of experience that have no function in the life of the organism. They constitute dysfunction or noise. Blurriness in a visual experience is an example.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.460)
     A reaction: The best account of blurred vision would seem to be adverbial - I see 'in a blurred way' (nay, blurredly). Hence maybe blurred vision is functional, but it just isn't functioning very well.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').