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divisbyzero.com | ||
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theoremoftheweek.wordpress.com
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| | | | | One of the intriguing facts about infinity mentioned in that Horizon programme (the one on recently thatI disliked) is that there are different sizes of infinity. I thought that this week I'd start discussing that fact. (There might be another theorem of the week on this subject!) Here are two questions for you to consider.... | |
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afnan.io
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| | | | | What is Infinity? We are going to start this post by trying to figure out what infinity is. What do you think of when you think of infinity? Most people know that it's this uncountable number or thing (or is it...?). There is no beginning or end, it just goes on forever. | |
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www.jeremykun.com
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| | | | | It's often that a student's first exposure to rigorous mathematics is through set theory, as originally studied by Georg Cantor. This means we will not treat set theory axiomatically (as in ZF set theory), but rather we will take the definition of a set for granted, and allow any operation to be performed on a set. This will be clear when we present examples, and it will be clear why this is a bad idea when we present paradoxes. | |
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www.lastwordonnothing.com
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