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[The following set-algebra laws are "borrowed", in the great tradition of the internet, from Wikipedia. If you would like more background on why these things work, the article goes into more detail, and of course has the complete lattice of links to accompany it.]
I have a god-awful memory. So, I’m constantly struggling to find some [...]
Filed under: Set Theory | Tagged: Algebra, axiom, closed, complement, intersection, open, set, theory, union | 5 Comments »
Not a lot of time this morning, but if you are interested in seeing how order is used in set theory, John Armstrong is doing a nice series of the creation of numbers at The Unapologetic Mathematician. Today he talks about Archimedean fields and how the real numbers are in the ’sweet spot’ [...]
Filed under: Analysis, Set Theory | Leave a Comment »
So, while I implied I would talk a little about Categories, since we just had our Set Theory final Exam (Saij and I), I thought perhaps a little discussion of this would be in order… Forgive the pun.
Indeed, while the basics of set theory were covered as always: looking at sets; their union and [...]
Filed under: Set Theory | 1 Comment »
