All posts filed under: problematics

Translation: Albert Lautman’s Essay on the Notions of Structure and Existence in Mathematics

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axiomatics / Brunschvicg / Deleuze / Difference and Repetition / foundations of mathematics / French Translation / Hilbert / Lautman / mathematics / metamathematics / Poirier / problematics / Russell / Uncategorized / Untranslated Theory / Whitehead

We should speak of a dialectics of the calculus rather than a metaphysics. By “dialectic” we do not mean any kind of circulation of opposing representations which would make them coincide in the identity of a concept, but the problem element in so far as this may be distinguished from the properly mathematical element of solutions. Following Lautman’s general thesis, a problem has three aspects: its difference in kind from solutions; its transcendence in relation […]

Bergsonism, or Philosophy of Sub- and Superhuman Durations

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assemblage / Bachelard / becoming / bergson / Deleuze / difference / duration / image / intuition / memory / metaphysics / metapsychology / ontology / problematics / time / virtual / Whitehead

Deleuze, Gilles. Bergsonism. Trans. Hugh Tomlinson and Barbara Habberjam. New York: Zone, 1991. Bergson on several occassions compares the approach of philosophy to the procedure of infinitesimal calculus: When we have benefited in experience from a little light which shows us a line of articulation, all that remains is to extend it beyond experience—just as mathematicians reconstitute, with the infinitely small elements that they perceive of the real curve, ‘the curve itself stretching out into […]

Bachelard and the Psychoanalysis of Affective Stereotypes

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Bachelard / Deleuze / image of thought / philosophy of science / problematics / psychoanalysis / unconscious / value

A word will suddenly reverberate in us and find too lingering an echo in cherished, old ideas; an image will light up and persuade us outright, abruptly, and all at once. In reality, a serious, weighty word, a key word, only carries everyday conviction, conviction that stems more from the linguistic past or from the naivety of primary images than from objective truth…All description nucleates in this way and collects about centres that are too […]