logic, the Mostowski collapse lemma, also known as the Shepherdson–Mostowski collapse, is a theorem of set theory introduced by Andrzej Mostowski (1949, theorem...

foundations of mathematics and is perhaps best remembered for the Mostowski collapse lemma. He was a member of the Polish Academy of Sciences and a representative...

Warsaw Andrzej Mostowski (1913 - 1975), a Polish mathematician Mostowski collapse lemma, in mathematical logic Ehrenfeucht–Mostowski theorem, in model...

lemma Mostowski collapse lemma Teichmüller–Tukey lemma also known as Tukey's lemma Zorn's lemma; equivalent to the axiom of choice Covering lemma Delta...

the chain ω, n − 1, n − 2, ..., 2, 1 has length n for any n. The Mostowski collapse lemma implies that set membership is a universal among the extensional...

fails to prove some common theorems in set theory, such as the Mostowski collapse lemma. Constructible universe Admissible ordinal Hereditarily countable...

transitive model can be obtained from any standard model through the Mostowski collapse lemma, but the existence of any standard model of Z F C {\displaystyle...

clubs in the country. Born: Andrzej Mostowski, Polish mathematician, developed the set theory Mostowski collapse lemma; in Lemberg, Austria-Hungary (present-day...

  Morse–Kelley set theory, a set theory with classes Mostowski 1.  Andrzej Mostowski 2.  The Mostowski collapse is a transitive class associated to a well founded...

{\displaystyle L_{\beta }} . By the downward Löwenheim–Skolem theorem and Mostowski collapse, there must be some transitive set K {\displaystyle K} containing...

embedded) subcategory of a category of modules over some ring. Mostowski's collapsing theorem states that every well-founded extensional structure is...