Comments by "Chef Chaudard" (@chefchaudard3580) on "How My Views Have Changed (After 5 Years of YouTube)" video.

@jeemonjose from a mathematical point of view, an infinitely small chance tends to zero, but is, by definition, never zero. Practically, you can assume zero, mathematically, there is is still an infinitely small chance that winning the lottery never occur.
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@jeemonjose No, from a mathematical point of view, you have a finite number of chances to win the lottery, and it is the same for every attempt. If you play an infinite number of times, there is an infinitely small chance that you don't win the lottery at all. I agree that an infinitely small chance is almost zero. Almost... but not zero, for a mathematician. That's how small infinity can be... I think RR means that as a joke, as such an abstract concept has no practical value, and trying to use it to demonstrate the existence of a God, as some philosophers do, is useless.
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@jeemonjose 1/infinity is not zero. It tends to 0, but is undefined. So there is no mathematical equivalent To understand it, if you "sum up" half of a value, like 1/2+1/4+1/8+1/16+1/32.... even if you add infinitely half fractions, you cannot go up to 1, as the equation has no end. You always have to add the "infinitely small" fraction required to obtain 1. The value for "infinitely small" is undefined. As is the value for "infinitely large". To sum up what I tried to demonstrate, if you assume you can play lottery an infinite number of time, you must assume that there is an infinitely small possibility that you loose every time.
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@Gxlto From a practical point of view, you are right. It is assured that at least an attempt will be successful. It is still highly probable that several, an infinite number of them will be successful. But, from a mathematical perspective, there is "only" 99.999... per cent chances with an infinite number of ninth that it does occur. I think RR referred to Zeno's paradox when he said that. He placed it in the mathematical sense, as a matter of a joke, as it is purely an abstract concept that has no practical application, while some philosopher (William Lane Craig?) tried to use it to demonstrate the existence of his God.
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No, even in an infinite amount of time, something may never occur. There is an infinitely small chance, but there is still a chance, as infinitely small tends to 0 but is NOT 0.
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