Combining Texts

All the ideas for 'Philosophical Explanations', 'True Believers' and 'Frege on Apriority'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
You can't simply convert geometry into algebra, as some spatial content is lost [Burge]
     Full Idea: Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of geometrical propositions seems to me to be thereby lost. Pure geometry involves spatial content, even if abstracted from physical space.
     From: Tyler Burge (Frege on Apriority [2000], IV)
     A reaction: This supports Frege's view (against Quine) that geometry won't easily fit into the programme of logicism. I agree with Burge. You would be focusing on the syntax of geometry, and leaving out the semantics.
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M]
     Full Idea: Nozick suggests that knowledge is just belief which 'tracks the truth' (hence leaving out justification).
     From: report of Robert Nozick (Philosophical Explanations [1981]) by Michael Williams - Problems of Knowledge Ch. 2
13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts
A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J]
     Full Idea: Nozick says Gettier cases aren't knowledge because the proposition would be believed even if false. Proper justification must be more sensitive to the truth ("track the truth").
     From: report of Robert Nozick (Philosophical Explanations [1981], 3.1) by Jonathan Dancy - Intro to Contemporary Epistemology 3.1
     A reaction: This is a bad idea. I see a genuine tree in my garden and believe it is there, so I know it. That I might have believed it if I was in virtually reality, or observing a mirror, won't alter that.
18. Thought / C. Content / 1. Content
States have content if we can predict them well by assuming intentionality [Dennett, by Schulte]
     Full Idea: Dennett maintains that a system has states with representational content if we are able to predict its behaviour reliably and voluminously by adopting the intentional stance toward it.
     From: report of Daniel C. Dennett (True Believers [1981]) by Peter Schulte - Mental Content 5
     A reaction: Dennett himself seems happy to thereby attribute representational content to a chess-playing computer. This sounds like a test for content, rather than explaining what it is. Not promising, I think.