Fun Mathematics 5 - Set theory (6/6)

Today, we are going to talk about set theory and infinity. We describe intuitive meaning of sets and we should that it leads to paradoxes. We show Russel's paradox that there is no set of all sets. We describe how natural numbers are constructed from empty set. Also we are going to touch infinite sets and infinity itself. Are all the infinite sets of the same size? And how to compare which sets are smaller and which are larger? We are going to explore an exciting history of modern mathematics which made some of its creators insane ...

Category:

Education

Tags:

• mathematics
• lecture
• set theory
• infinity
• paradox