The discussion centers on the concept of "one out of infinity" and its relationship to zero, particularly in the context of probability and mathematical definitions. Participants clarify that infinity is not a number and that expressions like 1/∞ are undefined in standard arithmetic. They emphasize that in traditional number systems such as integers, rationals, and reals, there is no concept of "infinitely small" quantities, and thus one cannot equate one out of infinity with zero. The conversation also touches on the limitations of using ordinary language to describe mathematical concepts, highlighting the need for precise definitions.
PREREQUISITESHigh school students studying algebra and calculus, educators teaching probability theory, and anyone interested in the philosophical implications of infinity in mathematics.
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.WWGD said:Why not just use a RNG on the interval?