Proposition 3

about 10 years ago

4) Finally, the model is problematic, instead of theorematic: figures are considered only from the point of view of the affections that befall them: sections, ablations, adjunctions, projections. One does not proceed by specific differences from a genus to its species, nor by deduction from a stable essence to the properties deriving from it, but from a problem to the accidents that condition and resolve it. This involves all manner of deformations, transmutations, passages to the limit, operations in which each figure designates an "event" much more than an essence; the square no longer exists independently of a quadrature, the cube of a cubature, the straight line of a rectification. Whereas the theorem is of the rational order (de I'ordre des raisons), the problem is affective, and is inseparable from the metamorphoses, generations and creations within science itself. Despite what Gabriel Marcel may say, the problem is not an "obstacle," it is the surpassing of the obstacle, a projection, in other words a war machine. All that movement is what royal science is striving to limit when it reduces as much as possible the range of the "problem-element" and subordinates it to the "theorem-element."

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