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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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thatsmaths.com
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| | | | | In last week's post, we defined an extension of parity from the integers to the rational numbers. Three parity classes were found --- even, odd and none. This week, we show that, with an appropriate ordering or enumeration of the rationals, the three classes are not only equinumerate (having the same cardinality) but of equal... | |
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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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thekittymaths.wordpress.com
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| | | A Compendium of Cool Internet Math Things | ||