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Bearbeitet von Peaches Pan Tao:
9/12/2016 5:51:44 PM
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Which Is Bigger: The Infinite Set of Whole Numbers, or The Infinite Set of Prime Numbers
Does anyone know? I need a Cheeseburger.
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1 AntwortenPrime numbers so i can sell them for platinum [spoiler]doubt anyone will get this joke[/spoiler]
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1 AntwortenWhat about the space between 1 and 2? Every decimal.
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Try again when you learn what infinite means.
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1 AntwortenIf they're both infinite, wouldn't neither of them be more or less, seeing as how they both go on forever?
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Anyone got Jesus on speed dial? Because 14% of people need him.
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1 AntwortenThese people need vsauce.
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1 AntwortenWhich weighs more, a ton of feathers or a ton of bricks?
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21 AntwortenSo what you're saying is that you don't get the word "infinite".
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Bearbeitet von nallimokmok: 9/13/2016 9:16:06 AMYou don't understand how infinity works. Infinite grains of sand are just as large as infinite solar systems. The numbers between 0 and one are infinite, the numbers between 0 and 2 are infinite. The numbers between 0 and 1 billion are infinite. All the prime numbers and all the rational numbers are both infinite. Infinity is not a number per say, it is just the word we use for the largest thing possible, something that never ends. Although larger infinites are a thing it is not through this. Infinity times infinity will still just be infinity.
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Neither.
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1 AntwortenThey are equal because they are both countably infinite
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7 AntwortenBearbeitet von Shryke: 9/14/2016 1:14:10 PMThey're both countably infinite, thus they are the same size: ∞. Now, if you were comparing the set of [i]rational[/i] numbers to the set of whole numbers, then you would have a victor, as the set of rational numbers is [u]uncountably[/u] infinite and is thus larger. A good way to think about this intuitively is that you can start with '1' in the set of whole numbers and count onwards, but you can't really "start" anywhere with rational numbers, as there will always be one more decimal place than the one you've put down to catalogue the position. The degree of specificity necessary to catalogue a given position in the set of all rational numbers is infinite, thus this set is a sort of infinity squared.
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Infinite set of whole numbers plus 1
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Prime numbers
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1 AntwortenOne is a denser infinity than the other.
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>infinity >triggered
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Trick question. This is like asking whether a 10 lb bag of bricks is heavier than a 10 lb bag of feathers.
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They're both infinite.
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Bearbeitet von Zeldasavvy64: 9/13/2016 1:39:18 AMNvmd. I don't remember prime numbers. Right now there is technically a largest prime number, but I'm not sure if the set is infinite. If it is, then we can't know which set is bigger. Infinity - infinity doesn't equal 0, unless we no for sure that one set of infinity is bigger than the other.
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2 AntwortenBoth sets are considered countably infinite. Therefore, they are the same size.
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1 AntwortenThey are equal since they are both infinite... [spoiler]nice try[/spoiler]
