Rational numbers are impossible!
Alexandra Kitty wrote: Numbers may not be rational, but they are always sensible.Because one plus one equals a bigger one and all equations equal infinity... Read full topic
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Nscafe wrote: I love math; conceptually. Applying artificial barriers around concepts (the natural world) to try and make them understandable or at the very least usable as a resource to humanity....
View ArticleRational numbers are impossible!
JohnDoe wrote: I'm probably not the target audience for these videos, but I'm very glad they exist. It's impressive how she manages to touch on multiple areas of more advanced mathematics, while...
View ArticleRational numbers are impossible!
Dan Stoppelman wrote: I can't pretend I understand all of this, but the 0% thing doesn't make sense to me. Just because the dart has a 0% chance of hitting a specific real number you choose in advance...
View ArticleRational numbers are impossible!
PrometheanSky wrote: If I follow what's going correctly, it's because you're dividing by infinity. These maths start to get pretty counterintuitive. One of these days I'm going to get around to...
View ArticleRational numbers are impossible!
Chris wrote: It may help to think of it this way - I really hope this isn't more confusing. The number line you usually see contains only integers, whole numbers (and zero). It goes on forever to the...
View ArticleRational numbers are impossible!
JohnDoe wrote: This is more-or-less because the concept of infinity is hard to grasp. There are "infinitely many" integers (i.e. whole numbers), "infinitely many" rationals, and "infinitely many"...
View ArticleRational numbers are impossible!
Dan Stoppelman wrote: Great explanations, thanks, and I realize I confused real numbers with rational numbers in my original question. Even so, it seems like the probability approaches zero or...
View ArticleRational numbers are impossible!
Michael Fleming wrote: I think she has it exactly backward. You can only hit rational numbers on the number line. Consider 1/2, that is the ratio of 1 to 2, not one divided by two. We can hit that...
View ArticleRational numbers are impossible!
chenille wrote: The metaphor of a dart is about picking a number at random rather than writing out an exact value. It's true there are more real numbers than there are ways to write a finite string of...
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Rational numbers are impossible!
David Emigh wrote: Hello Mike, welcome to the BoingBoing forums I think by "hit with a dart" she means: randomly select one of the infinite number of points on the real number line. Put another way,...
View ArticleRational numbers are impossible!
JohnDoe wrote: Keep in mind that my explanation is very informal, since it basically amounts to saying "even though they're both infinite, there are infinitely many more real numbers than rational...
View ArticleRational numbers are impossible!
Chris wrote: Hi Mike, I hope you don't feel piled up on. The irrational numbers just sit between the rational numbers. You can give them any useful name, and you can estimate their location on a...
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Rational numbers are impossible!
Acer Platanoides wrote: mike4 said: if you mean by "hitting with a dart" "retrieving the number's value". I don't think that's what she meant, but I like what you said! Read full topic
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Rational numbers are impossible!
Jeremy Erwin wrote: catgrin said: Because you can't express irrational numbers algebraically, you have to arrange them in relationship to real numbers and other irrational numbers, but they're still...
View ArticleRational numbers are impossible!
Chris wrote: Edited for clarity: I wasn't referring to the set of all irrationals - I was referring to their individual placement on a number line. Sorry if that wasn't clear somehow. To better...
View ArticleRational numbers are impossible!
Jeff R Allen wrote: Watch it all the way through. Wait for it... wait for it... the last 3 words are gold. Read full topic
View ArticleRational numbers are impossible!
Cory Doctorow wrote: This topic was automatically closed after 5 days. New replies are no longer allowed. Read full topic
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