Combining Texts

All the ideas for 'fragments/reports', 'Gentzen's Analysis of First-Order Proofs' and 'Many Politics'

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8 ideas

1. Philosophy / B. History of Ideas / 1. History of Ideas
Nomads are the basis of history, and yet almost unknowable [Deleuze]
     Full Idea: There is no history from the viewpoint of nomads, although everything passes through them, to the point that they are like the noumena or the unknowable of history.
     From: Gilles Deleuze (Many Politics [1977], p.107)
     A reaction: Nomads have the same place in society that indeterminate 'stuff' has in an object-orientated metaphysics. Deleuze seems to be romanticising nomads the way the late Victorians romanticised gypsies.
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is based on transitions between sentences [Prawitz]
     Full Idea: I agree entirely with Dummett that the right way to answer the question 'what is logic?' is to consider transitions between sentences.
     From: Dag Prawitz (Gentzen's Analysis of First-Order Proofs [1974], §04)
     A reaction: I always protest at this point that reliance on sentences is speciesism against animals, who are thereby debarred from reasoning. See the wonderful Idea 1875 of Chrysippus. Hacking's basic suggestion seems right. Transition between thoughts.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz]
     Full Idea: With Gentzen's natural deduction, we may say that the introductions represent, as it were, the 'definitions' of the logical constants. The introductions are not literally understood as 'definitions'.
     From: Dag Prawitz (Gentzen's Analysis of First-Order Proofs [1974], 2.2.2)
     A reaction: [Hacking, in 'What is Logic? §9' says Gentzen had the idea that his rules actually define the constants; not sure if Prawitz and Hacking are disagreeing]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]
     Full Idea: In Gentzen's natural deduction, the inferences are broken down into atomic steps in such a way that each step involves only one logical constant. The steps are the introduction or elimination of the logical constants.
     From: Dag Prawitz (Gentzen's Analysis of First-Order Proofs [1974], 1.1)
24. Political Theory / D. Ideologies / 11. Capitalism
We are currently extending capitalism to the whole of society [Deleuze]
     Full Idea: What characterises our situation is ….the extension of capitalism to the whole social body.
     From: Gilles Deleuze (Many Politics [1977], p.110)
     A reaction: This is driven by the naïve people who think all problems can be solved by market forces, and that to everything that goes bankrupt we should just say 'good riddance'.
25. Social Practice / E. Policies / 1. War / a. Just wars
The State requires self-preservation, but the war-machine desires destruction [Deleuze]
     Full Idea: There will always be a tension between the State apparatus with its requirement for self-preservation, and the war-machine in its undertaking to destroy the State, to destroy the subjects of the State, and even to destroy itself.
     From: Gilles Deleuze (Many Politics [1977], p.106)
     A reaction: This seems to fit WWI quite well, but the desire of the war-machine to destroy the State which pays for it sounds unlikely. Nevertheless war is appalling for the state, but it is the whole point of the war-machine, which gets restless.
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
     Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes.
     From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078
     A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book.
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
     Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness.
     From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42
     A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them.