This is a post on “foundations of mathematics” (eek!). I was motivated to write it while I’ve been struggling to understand better certain applications of ultrafilters — namely… more →
Todd and Vishal's blogTodd Trimble wrote 1 year ago: This is a post on “foundations of mathematics” (eek!). I was motivated to write it while … more →
range wrote 1 year ago: Rational Numbers In mathematics, a rational number is a number which can be expressed as a ratio of … more →
range wrote 1 year ago: I used this partially to write my post. I also used my class notes. … more →
Vishal Lama wrote 2 years ago: The difference between sets and , also known as the relative complement of in , is the set defined b … more →
Vishal Lama wrote 2 years ago: We are now ready to discuss a couple of familiar set theoretic operations: unions and intersections. … more →
Vishal Lama wrote 2 years ago: After postulating a couple of important axioms in the previous two sections, we now arrive at a coup … more →
Vishal Lama wrote 2 years ago: The axiom of extension (discussed in Section 1) is unique in the sense that it postulates the existe … more →
Vishal Lama wrote 2 years ago: We encounter sets, or if we prefer, collections of objects, everyday in our lives. A herd of cattle, … more →
Vishal Lama wrote 2 years ago: I have just started reading Paul R. Halmos’ classic text Naive Set Theory, and I intend to bl … more →