There is an infinity between the numbers one and two because numbers are infinitely divisible. — Amergin
2) Finite means definite. But it's only definite for a particular value. But no particular value can be assigned, therefore not finite. — tim wood
When you get down to the nitty gritty and use numbers, as in a computer program, they are all rational and thus countable. So how many rational numbers (fractions) do you think lie in the interval [0,1]? :chin: — John Gill
I think step [6] above is no doubt questionable, but it brings out the point: how exactly does a finite number ever become infinite? - We have no basic arithmetical operators to convert finite numbers into infinite numbers. To focus on this aspect, here is a similar argument that more graphically brings out the discontinuity between natural numbers and infinity: — Devans99
Get involved in philosophical discussions about knowledge, truth, language, consciousness, science, politics, religion, logic and mathematics, art, history, and lots more. No ads, no clutter, and very little agreement — just fascinating conversations.