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You need another loop for each real number. A "proper" real number is in itself not finite. If you want to actually physically create a real number, for almost
by nairboon 3y ago
You need another loop for each real number. A "proper" real number is in itself not finite. If you want to actually physically create a real number, for almost all of them, the process will never terminate.
- xanderlewis 3y agoYou need to define your terms more precisely to be able to make these kind of assertions. What do you mean by physically create? What do you mean by process? The answers depend on these very strongly.
- nairboon 3y agoCan you write down the complete decimal expansion of let's say sqrt(5) ?
- xanderlewis 3y agoNo; it’s infinitely long and non-repeating. Are you trying to refute my original comment? I think we’re on the same page.
- ludston 3y agoSince you can't write down this number, how can you generate a second number using this number? You'll never finish generating the first number in order to start the second. You can come up with a bunch of procedures that generate numbers indefinitely, and you can even define relationships between those procedures, but a procedure is not a number.
- xanderlewis 3y agoI don’t know what you’re talking about. Are you responding to something I’ve said?