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seen Mar 4 at 5:37

May
6
awarded  Yearling
Jan
26
awarded  Good Answer
Aug
2
comment Can the golden ratio accurately be expressed in terms of e and $\pi$
@Harold You're mistaken; it is an answer. Perhaps you didn't read the question carefully.
Aug
2
comment Can the golden ratio accurately be expressed in terms of e and $\pi$
@Doorknob You may be laughing, but everyone else is shaking their head.
Aug
2
awarded  Supporter
Aug
2
comment Can the golden ratio accurately be expressed in terms of e and $\pi$
@Nick You should have expected it before you posed it.
May
21
awarded  Caucus
May
9
comment Are all prime numbers finite?
"the staircase can be infitly long without being infinitly high" -- The correct statement is that, given an infinitely long and infinitely high staircase, no individual step is infinitely high ... nor, to reach that step, will you have gone an infinite distance. But because no step is the last step, the staircase itself is infinite.
May
9
comment Are all prime numbers finite?
" I think my problem is in this." -- No, your problem is that you refuse to pay attention. "set theory say the staircase can be infitly long without being infinitly high" -- No it doesn't say anything of the sort. It says that a tunnel or a beam can be infinitely long without being infinitely high. You keep insisting that, if it isn't infinitely high, it can't be infinitely long. "I think the terms finite and infinite are in fact unhelpful." -- yeah, right, the problem is with the words rather than with you, I'm sure.
May
9
awarded  Commentator
May
9
comment Are all prime numbers finite?
@NeuroFuzzy Everyone agrees that all natural numbers are finite. The burden of proof is on those who claim that implies that all sets of natural numbers are finite (have finite cardinality).
May
9
comment Are all prime numbers finite?
@NeuroFuzzy My point with that comment is that Jaydee (or cyclochaotic) keeps saying that it's impossible, that sets that contain only finite members must be finite, but never offers any reason or explanation for the assertion. I think that, in order for Jaydee to progress, she or he must first take on the burden of proof and to stop with these unsupported assertions and rhetorical questions. When Jaydee says that a set consisting entirely of finite numbers must be finite, I offer, in order of strength, "Why do you think so?", "There's no reason for that to be true.", and "No, that's wrong."
May
8
comment Are all prime numbers finite?
@Jaydee "when you do that the result cannot be finite" -- No, you are incorrect. There isn't a result, there are results, each and every one of which is finite. The number of results is infinite, precisely because there is no last one.
May
8
comment Are all prime numbers finite?
@Jaydee "Then there must be a finite number of them." -- You keep saying that, but ... WHY? "No?" -- No. The two are completely unrelated ... what a set contains has nothing whatsover to do with how many things it contains.
May
7
comment Are all prime numbers finite?
"Therefore we say such a set has "infinitely many" members, but what we really mean is that the number of members is not bound." -- No, this is wrong; a misuse of terminology. For instance, the set of real numbers [0,1] is infinite but bounded.
May
7
comment Are all prime numbers finite?
"I'm not saying a maximum element must exist" -- You have repeatedly said that ... e.g., "If ALL members of the set are finite, then the set must be finite" MEANS that there must be a maximum element. "I'm saying if you have an infinite number of different members of a set, then how can they all be finite?" -- That's not saying something, that's a rhetorical question. To say something would be to present an argument for why there's some contradiction in that statement ... but there isn't one; both finite and infinite sets of integers contain only finite numbers.
May
7
comment Are all prime numbers finite?
" flag This is about logic and math" -- Not the particular statement I identified. It's about language and I pointed out how. "But most of your points are valid." -- All of them are valid. "Assuming a greatest element must exist is a misconception." -- Well, no, it would be an erroneous assumption ... but who assumed that? "In addition, I maintain that I communicated my perplexity very effectively via the English language" -- I didn't say otherwise. I said that you misused the language; identifying the misuse leads to understanding the source of perplexity.
May
7
comment Are all prime numbers finite?
" If ALL members of the set are finite, then the set must be finite." -- There is no basis whatsoever for that assertion, any more for the claim that someone who tends fat cows must be fat. Imagine that there were, in fact, some infinite set ... say the set of positive integers. What do we know about its elements? Well, we know that they are all finite, because all positive integers are finite. So, we have an example of an infinite set all of whose members are finite, contrary to your claim. If such a set cannot exist, it must be for some other reason than the one you claim.
May
7
awarded  Critic
May
6
awarded  Nice Answer