axiom of foundation sentence in Hindi

Examples

1. The existence of the ranks as sets depends on the axiom of replacement at each limit step ( the hierarchy cannot be constructed in Zermelo set theory ); by the axiom of foundation, every set belongs to some rank.
2. This results from the axiom of foundation  or the axiom of regularity  which enacts such a prohibition ( cf . p . 190 in " Being and Event " ) . ( This axiom states that every non-empty set A contains an element y that is atheist.
3. 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.
4. Around 1930, Zermelo also introduced ( apparently independently of von Neumann ), the axiom of foundation, thus as Ferreir�s observes " by forbidding'circular'and'ungrounded'sets, it [ ZFC ] incorporated one of the crucial motivations of TT [ type theory ]  the principle of the types of arguments ".