13/08/11 21:38:29.33
>>296
Toward Useful Type-Free Theories. I
Solomon Feferman
The Journal of Symbolic Logic, Vol. 49, No. 1. (Mar., 1984), pp. 75-111.
URLﾘﾝｸ(www.impan.pl)
76ページ 5行目
> Thus in ZF there is no set of all sets, nor any Russell set {x | not(x ∈ x)} (which
> would be universal since ∀x(not x ∈ x) holds in ZF).
76ページ 下から4行目
> ZF and BG are both untyped formalisms, i.e. the levels which we have in mind in
> their informal interpretations do not appear explicitly in the syntax. Thus we can
> form expressions x ∈ y without restriction, in particular the expression x ∈ x.