Kuvassa Slavoj Zizek ja Alain Badiou*
Pähkäilee ne eräät höyrypäiksikin leimatut urpot filosofiaa myös/jopa matematiikan lähtökohdista kuten Slavoj Zizekiin voimakkaasti vaikuttanut ja herrojen välisistä kiistoista huolimatta hänen ehkä paras filosofiystävänsä Alain Badiou (ks. 3.1 Mathematics as ontology).*"Badiou's use of set theory in this manner is not just illustrative or
heuristic. Badiou uses the
axioms of Zermelo–Fraenkel set theory to identify the relationship of being to history, Nature, the State, and God. Most significantly this use means that (as with set theory) there is a strict prohibition on self-belonging; a set cannot contain or belong to itself.
Russell's paradox famously ruled that possibility out of formal logic. (This paradox can be thought through in terms of a 'list of lists that do not contain themselves': if such a list does not write itself on the list the property is incomplete, as there will be one missing; if it does, it is no longer a list that does not contain itself.) So too does the
axiom of foundation — or to give an alternative name the axiom of regularity — enact such a prohibition (cf. p. 190 in Being and Event). (This axiom states that all sets contain an element for which only the void [empty] set names what is common to both the set and its element.) Badiou's philosophy draws two major implications from this prohibition. Firstly, it secures the inexistence of the 'one': there cannot be a grand overarching set, and thus it is fallacious to conceive of a grand cosmos, a whole Nature, or a Being of God. Badiou is therefore — against
Cantor, from whom he draws heavily — staunchly
atheist.
However, secondly, this prohibition prompts him to introduce the event. Because, according to Badiou, the axiom of foundation 'founds' all sets in the void, it ties all being to the historico-social situation of the multiplicities of de-centred sets — thereby effacing the positivity of subjective action, or an entirely 'new' occurrence. And whilst this is acceptable ontologically, it is unacceptable, Badiou holds, philosophically. Set theory mathematics has consequently 'pragmatically abandoned' an area which philosophy cannot. And so, Badiou argues, there is therefore only one possibility remaining: that ontology can say nothing about the event."
*Alain Badiou -
Tästä löytyy tiivis ja kattava ja englanninkielinen wikiesitys Badiousta, joka on Zizekin ohella yksi viime aikojen luovimpia (yksi todella harvoista) mutta ei kuitenkaan helpoimpia ranskalaisfilosofeja - kuten eivät ranskalaiset koskaan.Being by numbers - interview with artists and philosopher Alain Badiou - Interview*
Aksiomaattisen joukko-opin hengessä.
*
http://www.thoughtonfilm.com/people1.htmlIITämän verran jäi kyynelistä jäljelle - ei siis juuri mitään.
Sä et kyyneltä nääTosi kova. Puristaa pussista saakka. Vastaa korkeushypyssä semmoset kaks ja puol metrii - (satunnainen kommentoija You Tubessa)
