there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF
>>370 there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF
>>370 there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF
>>382 >>370 there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF there is nor any Russell set in ZF
In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. The Russell set R might be written as the comprehension {x : x ̸∈ x}, but ZF allows only comprehension over some previously constructed set S, as shown in Figure 1.
自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big.
自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big.
>>382 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big.
>>387 >>382 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big.
>>397 >>387 >>382 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺?
自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big.
>>387 >>382 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big.
>>387 >>382 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big.
>>475 >>387 >>382 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big.
>>310 >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).
>>475 >>387 >>382 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big.
>>475 >>387 >>382 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big. 自殺? In axiomatic set theory (such as ZF), paradoxes are avoided by preventing the creation of sets that are too big.