News for hackers. Stuff that matters.
Re:Mathematicians Bridge Finite-Infinite Divide by gfody on Saturday July 29, 2017 @09:34PM (#14883934)
[the divide] separates two kinds of mathematical statements: “finitistic” ones, which can be proved without invoking the concept of infinity, and “infinitistic” ones, which rest on the assumption — not evident in nature — that infinite objects exist.
Re:Mathematicians Bridge Finite-Infinite Divide by johncolanduoni on Sunday July 30, 2017 @01:20AM (#14884544)
The article stated this in a very silly way. Infinite objects existing in nature has nothing to do with whether reasoning about certain infinite objects (e.g. The real numbers) is sound, any more than thinking about counterfactuals is impossible because they differ from the real world.
Re:Mathematicians Bridge Finite-Infinite Divide by gfody on Sunday July 30, 2017 @02:20AM (#14884646)
further in she cites Aristotle potential vs. actual which I guess is more philosophy than math but it covers the point you're making now.