Combining Texts

All the ideas for 'Science and Method', 'Gilles Deleuze' and 'Elements of Mathematical Logic'

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5 ideas

1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
Deleuze relies on Spinoza (immanence), Bergson (duration), and difference (Nietzsche) [May]
     Full Idea: The three tripods on which the philosophy of Deleuze stands are immanence (Spinoza), duration (Bergson), and the affirmation of difference (Nietzsche).
     From: Todd May (Gilles Deleuze [2006], 2.12)
     A reaction: [Just to begin sketching how continental philosophy sees its tradition].
4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Lukasiewicz's L3 logic has three truth-values, T, F and I (for 'indeterminate') [Lukasiewicz, by Fisher]
     Full Idea: In response to Aristotle's sea-battle problem, Lukasiewicz proposed a three-valued logic that has come to be known as L3. In addition to the values true and false (T and F), there is a third truth-value, I, meaning 'indeterminate' or 'possible'.
     From: report of Jan Lukasiewicz (Elements of Mathematical Logic [1928], 7.I) by Jennifer Fisher - On the Philosophy of Logic
     A reaction: [He originated the idea in 1917] In what sense is the third value a 'truth' value? Is 'I don't care' a truth-value? Or 'none of the above'? His idea means that formalization doesn't collapse when things get obscure. You park a few propositions under I.
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
     Full Idea: One geometry cannot be more true than another; it can only be more convenient.
     From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate.
23. Ethics / F. Existentialism / 1. Existentialism
For existentialists the present is empty without the pull of the future and weight of the past [May]
     Full Idea: For the existential view of lived time, the present would be empty if it were not for the pull of the future and the weight of the past that give it its character.
     From: Todd May (Gilles Deleuze [2006], 2.05)
     A reaction: Bergson seems to be important in developing this idea, though I suspect that Kierkegaard is a source.
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberal theory starts from the governed, not from the governor [May]
     Full Idea: For liberal theory, it is the individual to be governed, not the governor, who is the starting point.
     From: Todd May (Gilles Deleuze [2006], 4.02)
     A reaction: I'm inclined to see this as the single-handed achievement of Thomas Hobbes, who starts from the need of citizens to secure their contracts. Plato's society starts from entrepreneurs, but their need for a ruler seems a priori.