All posts filed under: metamathematics

Badiou on Logic

Saturday, July 5, 2008
by Taylor Adkins
comments 3
badiou / godel / logic / mathematics / metamathematics / ontology

Stellar cartographies has translated two different selections of course notes from Badiou’s lectures circa 1980-82 here and here. This translation is short, but extremely concise, so there’s a lot of material to absorb. In particular, the notes help to explain Godel’s achievement and his theorem and offers good insight into Badiou’s own mathematico-ontological project. Definitely check it out for a quick read on a slightly neglected aspect of this philosopher’s expanding corpus. Also be sure […]

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

Tuesday, October 16, 2007
by Taylor Adkins
comments 7
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 […]