Some infinities are bigger than others is false. Infinite don't end that's the whole point of it

March 1, 2018, 7:15 am

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The debate "Some infinities are bigger than others is false. Infinite don't end that's the whole point of it" was started by sarahcrlav on March 1, 2018, 7:15 am. 13 people are on the agree side of this discussion, while 3 people are on the disagree side. People are starting to choose their side. It looks like most of the people in this community are on the agreeing side of this statement.

posted the first argument on this debate as a disagreeing part.

sarahcrlav, NPW, Ashes, criscap, Fallaciae, chemikilsm0ke, nivasprashanth and 6 visitors agree.
Nemiroff, MCFission and 1 visitor disagree.

the way they compare infinities is if you can make an 1:1 comparison.

for example the set of whole numbers and the set of even numbers are similar infinities. You can put a 1:1 sequentially:
1:2, 2:4, 3:6, etc without missing any numbers

however the set of real numbers is a bit different. it is impossible to make a 1:1 because no matter what decimals or fractions you use, there will always be an infinite number of numbers between them.

you can't go 1:0.1 2:0.2 because between 0.1 and 0.2 there are still another infinity of numbers between them that you skipped. since you can't make a 1:1 real numbers is considered to be a bigger infinity then whole numbers, even tho thr even numbers set and all whole numbers is considered an equal sized infinity.

in between any 2 whole numbers there is a finite number of whole numbers, but in between any 2 real numbers there is an infinite number of other real numbers, even between extremely close real numbers like 0.0000001 and 0.00000002 there are infinite other numbers. that's why it's considered "bigger"

3 months, 3 weeks ago
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