Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Implications' and 'Letter to Weber'

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7 ideas

1. Philosophy / H. Continental Philosophy / 6. Deconstruction
Deconstructing philosophy gives the history of concepts, and the repressions behind them [Derrida]
The movement of 'différance' is the root of all the oppositional concepts in our language [Derrida]
2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]