Combining Texts

All the ideas for 'fragments/reports', 'The Actual and the Virtual' and 'Letters to Samuel Masson'

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


3 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
I don't admit infinite numbers, and consider infinitesimals to be useful fictions [Leibniz]
     Full Idea: Notwithstanding my infinitesimal calculus, I do not admit any real infinite numbers, even though I confess that the multitude of things surpasses any finite number, or rather any number. ..I consider infinitesimal quantities to be useful fictions.
     From: Gottfried Leibniz (Letters to Samuel Masson [1716], 1716)
     A reaction: With the phrase 'useful fictions' we seem to have jumped straight into Harty Field. I'm with Leibniz on this one. The history of mathematics is a series of ingenious inventions, whenever they seem to make further exciting proofs possible.
7. Existence / E. Categories / 5. Category Anti-Realism
We don't want another new set of categories; we want a variety of flexible categories [Deleuze, by May]
     Full Idea: For Deleuze, the task is not one of replacing a single set of categories with another set. It is one of being able to create and move among various sets of categories, and even to cross between them.
     From: report of Gilles Deleuze (The Actual and the Virtual [1977]) by Todd May - Gilles Deleuze 4.05
     A reaction: This sounds fun, but I'm not clear why we need this anarchic mix of categories. The motto of Deleuze seems to be 'at all costs, keep moving'. He loved the idea of nomads. Is Rimbaud our role model? The influence of Foucault is obvious.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?