Combining Texts

All the ideas for 'Chomsky on himself', 'What Numbers Are' and 'The Varieties of Reference'

unexpand these ideas     |    start again     |     specify just one area for these texts


8 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]
     Full Idea: The Löwenheim-Skolem theorem tells us that any theory with a true interpretation has a model in the natural numbers.
     From: Nicholas P. White (What Numbers Are [1974], V)
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
     Full Idea: Statements involving finite cardinalities can be made without treating numbers as objects at all, simply by using quantification and identity to define numerically definite quantifiers in the manner of Frege.
     From: Nicholas P. White (What Numbers Are [1974], IV)
     A reaction: [He adds Quine 1960:268 as a reference]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Experiences have no conceptual content [Evans, by Greco]
     Full Idea: In Evans's work experiences are conceived of as not having a conceptual content at all.
     From: report of Gareth Evans (The Varieties of Reference [1980]) by John Greco - Justification is not Internal
     A reaction: I presume it is this view which provoked McDowell's contrary view in 'Mind and World'. I say this is a job for neuroscience, and I struggle to see what philosophical questions hang on the outcome. I think I side with Evans.
We have far fewer colour concepts than we have discriminations of colour [Evans]
     Full Idea: Do we really understand the proposal that we have as many colour concepts as there are shades colour that we can sensibly discriminate?
     From: Gareth Evans (The Varieties of Reference [1980], 7.5)
     A reaction: This is the argument (rejected by McDowell) that experience cannot be conceptual because experience is too rich. We should not confuse lack of concepts with lack of words. I may have a concept of a colour between two shades, but no word for it.
18. Thought / C. Content / 1. Content
Some representational states, like perception, may be nonconceptual [Evans, by Schulte]
     Full Idea: Evans introduced the idea that there are some representational states, for example perceptual experiences, which have content that is nonconceptual.
     From: report of Gareth Evans (The Varieties of Reference [1980]) by Peter Schulte - Mental Content 3.4
     A reaction: McDowell famously disagree, and whether all experience is inherently conceptualised is a main debate from that period. Hard to see how it could be settled, but I incline to McDowell, because minimal perception hardly counts as 'experience'.
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
The Generality Constraint says if you can think a predicate you can apply it to anything [Evans]
     Full Idea: If a subject can be credited with the thought that a is F, then he must have the conceptual resources for entertaining the thought that a is G, for every property of being G of which he has conception. This condition I call the 'Generality Constraint'.
     From: Gareth Evans (The Varieties of Reference [1980], p.104), quoted by François Recanati - Mental Files 5.3
     A reaction: Recanati endorses the Constraint in his account of mental files. Apparently if I can entertain the thought of a circle being round, I can also entertain the thought of it being square, so I am not too sure about this one.
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
Chomsky now says concepts are basically innate, as well as syntax [Chomsky, by Lowe]
     Full Idea: Chomsky now contends that not only the syntax of natural language but also the concepts expressible in it have an innate basis.
     From: report of Noam Chomsky (Chomsky on himself [1994]) by E.J. Lowe - Introduction to the Philosophy of Mind Ch.7 n25
     A reaction: This seems to follow Fodor, who has been mocked for implying that we have an innate idea of a screwdriver etc. Note that Chomsky says concepts have an innate 'basis'. This fits well with modern (cautious) rationalism, with which I am happy.
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
Concepts have a 'Generality Constraint', that we must know how predicates apply to them [Evans, by Peacocke]
     Full Idea: Evans's 'Generality Constraint' says that if a thinker is capable of attitudes to the content Fa and possesses the singular concept b, then he is capable of having attitudes to the content Fb.
     From: report of Gareth Evans (The Varieties of Reference [1980], 4.3) by Christopher Peacocke - A Study of Concepts 1.1
     A reaction: So having an attitude becomes the test of whether one possesses a concept. I suppose if one says 'You know you've got a concept when you are capable of thinking about it', that is much the same thing. Sounds fine.