All posts filed under: Russell

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 […]

Translation: Raymond Ruyer and the Genesis of Living Forms

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French Translation / knowledge / la genése des formes vivantes / morphology / ontology / physiology / Raymond Ruyer / Russell / structure / Uncategorized

Ruyer, Raymond. La genése des formes vivantes. Paris: Flammarion, 1958. The following is my translation of the introduction pg 5-9. Morphology, the study of forms and their arrangements, does not present any fundamental difficulty. It needs more than precision and meticulousness. It requires, more frequently, indirect methods that demand a lot of ingenuity, like those methods that led to the structural diagrams of organic chemistry or to the genetic cartography of cellular nuclei. The results […]