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Ideas for 'Thinking About Mathematics', 'Defeasibility Theory' and 'The Philosophy of Nature: new essentialism'

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3 ideas

12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Essentialists mostly accept the primary/secondary qualities distinction [Ellis]
     Full Idea: Essentialists mostly accept the distinction between primary and secondary qualities, ..where the primary qualities of things are those that are intrinsic to the objects that have them.
     From: Brian Ellis (The Philosophy of Nature: new essentialism [2002], Ch.3)
     A reaction: One reason I favour essentialism is because I have always thought that the primary/secondary distinction was a key to understanding the world. 'Primary' gets at the ontology, 'secondary' shows us the epistemology.
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Primary qualities are number, figure, size, texture, motion, configuration, impenetrability and (?) mass [Ellis]
     Full Idea: For Boyle, Locke and Newton, the qualities inherent in bodies were just the primary qualities, namely number, figure, size, texture, motion and configuration of parts, impenetrability and, perhaps, body (or mass).
     From: Brian Ellis (The Philosophy of Nature: new essentialism [2002], Ch.4)
     A reaction: It is nice to have a list. Ellis goes on to say these are too passive, and urges dispositions as primary. Even so, the original seventeenth century insight seems to me a brilliant step forward in our understanding of the world.
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.