Combining Texts

Ideas for 'Thinking About Mathematics', 'The Question of Realism' and 'Letter to Clerk Maxwell'

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2 ideas

12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Although colour depends on us, we can describe the world that way if it picks out fundamentals [Fine,K]
     Full Idea: As long as colour terms pick out fundamental physical properties, I would be willing to countenance their use in the description of Reality in itself, ..even if they are based on a peculiar form of sensory awareness.
     From: Kit Fine (The Question of Realism [2001], 8)
     A reaction: This seems to explain why metaphysicians are so fond of using colour as their example of a property, when it seems rather subjective. There seem to be good reasons for rejecting Fine's view.
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
     Full Idea: Rationalism is a long-standing school that can be characterized as an attempt to extend the perceived methodology of mathematics to all of knowledge.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.1)
     A reaction: Sometimes called 'Descartes's Dream', or the 'Enlightenment Project', the dream of proving everything. Within maths, Hilbert's Programme aimed for the same certainty. Idea 22 is the motto for the opposition to this approach.