High School Is one out of infinity different from zero?

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The discussion centers on the concept of "one out of infinity" and whether it is different from zero. Participants clarify that infinity is not a number and that expressions like 1/infinity are undefined in standard mathematics. The conversation explores the distinction between infinitely small quantities and zero, noting that such concepts can only be properly addressed in specific number systems like the hyperreals. The confusion arises from attempting to apply ordinary language to mathematical concepts that require precise definitions. Ultimately, the consensus is that without a well-defined number system, questions about infinity and infinitesimals cannot be meaningfully formulated.
  • #31
Why not just use a RNG on the interval?
 
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  • #32
WWGD said:
Why not just use a RNG on the interval?
A RNG can't generate a random number out of an infinite set. Nor, if you are talking about the uncountable interval (0, 1), can it generate infinite decimals. A RNG can only randomly choose an element from a finite set.
 

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