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ExercisesSection 2: The BasicsSection 3: Natural, Integers, & Rational Numbers
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Exercises:
What Does Infinity & Beyond Mean?
3 CQ
You’ve heard Buzz Lightyear say it: “To infinity and beyond!” But what does that really mean? In this lesson, learn the theoretical definition of infinity.
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David T
The article in Business Insider was very helpful. It allowed me to read and look at the diagrams at a slower pace, so I "get it" now. So, to see if I understand, would colors be considered an uncountable set because every "new" color brings an "infinite" set of new combinations, and each one of them does the same? (Actually, that would probably be a flawed example as there would be limits set by many combinations eventually yielding black)
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Es Einsteinium
Colours would be a countable infinity. Because you actually know what comes next, if you have two colours and you want the one in the middle, you know what colour it is going to be. Making it countable
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David T
That would be great! Even just one or two general references to flesh out some of the material would be wonderfully welcome. Thanks!
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Es Einsteinium
The actual paper I used is at my mates house in Manchester (going there in about a month) so I will get that then. Otherwise, you could read this http://uk.businessinsider.com/the-different-sizes-of-infinity-2013-11?r=US&IR=T
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David T
Wow...and "ouch", my brain hurts. I wonder if references to further information would be helpful for those who wanted to understand these lessons in more detail. Just a thought...
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Es Einsteinium
I would love to put some references in, but Curious limit the amount of characters I can use for descriptions etc. If you want, I can try and find my original script with the bibliography and post some links on here?
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