Student Diaries: Countable and Uncountable Infinities: Exploring the Infinite Ladder

Introduction: What if everything you thought you knew about infinity was just the beginning? For most of us, infinity is a singular, all-encompassing concept-something that goes on and on without end. But what if not all infinities are created equal? Some are even countable! This idea, which might seem absurd at first, was revolutionized by

Parent Diaries: 1,2,3 Vs One, Two, Three

I told her that I was not looking for ‘3’ but for one, two, three. She once again replied that she didn’t see a ‘1, 2 and 3’. I gave her three pieces and counted – “one, two, three”. She said, “No, this is not three (by looking at the piece)…this is 4 ….