𝔖 Bobbio Scriptorium
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Boolean algebra and syllogism

✍ Scribed by V. A. Bocharov


Publisher
Springer Netherlands
Year
1986
Tongue
English
Weight
642 KB
Volume
66
Category
Article
ISSN
0039-7857

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## S(z A y ) z S(A), by (c) * S(z) A S(Y) 2 S(A) e S(x) 2 S(A) and S(y) 2 S(A) e C ( s ) s C ( A ) 'and C ( y ) E C ( A ) , by (c) o x € C ( A ) and Y E C ( A ) . Now every ultrafilter is consistent and closed with respect to C, since if U is an ultrafilter and C ( U ) = X , then C({,uu,, . . ., ,

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## Abstract If __ΞΊ__ is an infinite cardinal, a complete Boolean algebra B is called __ΞΊ__‐supported if for each sequence γ€ˆ__b~Ξ²~__ : __Ξ²__ < __ΞΊ__〉 of elements of B the equality $ \wedge$~__Ξ±__<__ΞΊ__~ $ \vee$~__Ξ²__>__Ξ±__~ __b~Ξ²~__ = $ \vee$ $ \wedge$~__Ξ²__∈__A__~ __b__~__Ξ²__~ holds. Combinatorial