I don\'t think so.
From the definition of infinity, per an online dictionary (I deleted the other definitions, as they weren't relevent to the question)
Infinity:
2. Unbounded space, time, or quantity.
Since the space between 0 and 1 is bound (by one unit), the space between the two is clearly finite.
On the other hand, there are an infinite number of numbers between zero and one, provided you don't limit the number of digits after the decimal point. This concept of "infinite smallness" is referenced in a conversation between Wormser and Poindexter in Revenge of the Nerds II: Nerds in Paradise. Funny movie.
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