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I saw an exchange on twitter recently, and am wondering if someone can clear this up. Are there an infinite and finite amount of numbers between 0 and 1? I thought there is an infinite amount between two numbers. I'm confused with what the person below means by Infinite, and yet finite. Since the number 1 exists

person a:

   1 + 1 = 2 true?

person b:

   1 + 1 does not equal 2, for some large values of 1

person a:

   there are a lot of decimals points/numbers between 0 and 1

person b:

   not just a lot. Infinite

person a:

   Infinite, and yet finite. Since the number 1 exists
Ravenous
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    Is there a mathematical question here? – Angina Seng Apr 29 '17 at 19:13
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    I personally think it's trolling... or it could be person a doesn't know much about mathematics and genuinely believes there is a finite number of numbers between 0 and 1 – mdave16 Apr 29 '17 at 19:13
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    I think there is confusion about infinite cardinality and numbers being bounded – jameselmore Apr 29 '17 at 19:14
  • @LordSharktheUnknown Yes, the question was is there both an infinite and finite amount of numbers between 0 and 1, and if so what 1 existing would have to do with that. I don't have a background in math so I probably didn't ask the question well. – Ravenous Jun 28 '18 at 02:53
  • @mdave16 I don't/didn't believe, I heard someone say there was, and that is why I asked. – Ravenous Jun 28 '18 at 02:54

1 Answers1

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There are infinite numbers between 0 and 1.

$0.1, 0.01, 0.001, 0.0001, ....$

Just between 0 and .1 there is infinite numbers.

stack ex
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