Re: An uncountable countable set
- From: Tony Orlow <tony@xxxxxxxxxxxxx>
- Date: Tue, 26 Sep 2006 10:36:54 -0400
Virgil wrote:
In article <45189e62@xxxxxxxxxxxxxxxxxxx>,
Tony Orlow <tony@xxxxxxxxxxxxx> wrote:
Virgil wrote:In article <45187864@xxxxxxxxxxxxxxxxxxx>,Define "better". Those that work in various areas of science share a notion which defines science. Theories which have no means of verification are not science, but philosophy. In mathematics, verification really consists of corroboration by other means, agreement between different approaches. In science, where you find a contradiction with your theory, it needs revision. So, the scientific approach to mathematics requires some criterion for universal consistency, as measured by the predictions of the various theories that comprise it. Where two theories collide, one or both is in error. I think that's better.
Tony Orlow <tony@xxxxxxxxxxxxx> wrote:
Han de Bruijn wrote:Tony Orlow wrote:Do you have the saying, "Shallow brooks babble, and still waters run deep"? I figured you picked up the usage from this forum, actually. It's meant, in English, to mean you aren't making any sense. :)
Mike Kelly wrote:I may be rude sometimes, but I never get _personal_ by calling somebody
Han de Bruijn wrote:I don't think I have ever found Han to be rude, except when he referred to my "babbling" recently. Ahem. But anyway, while we disagree on the actuality of any infinity, we have the open mind of spirited debate, and feel no need to get nasty.
Mike Kelly wrote:You're a very rude person yourself, Han. I generally don't feel the
Han de Bruijn wrote:Still don't get the point, huh?
Mike Kelly wrote:So what? Your English is still too poor for this discussion to be
What the hell are you talking about? Arguing with someone who can'tMy English is much better than your Dutch.
speak English is getting aggravating.
fruitful.
You are lacking even the most elementary form of politeness. It's very
impolite to cut of a discussion with somebody from a foureign country -
somebody who is doing his best to communicate with you - only because
you are obviously superior in expressing your thoughts within your own
mother's tongue.
need to be civil to those who won't reciprocate.
an "idiot" or a "crank". Tony's "babbling" translates with Euroglot as
"babbelen" in Dutch, which is a word I can use here in the conversation
with my collegues without making them very angry (if I say "volgens mij
babbel je maar wat"). But, of course, I cannot judge the precise impact
of the word in English. Apologies if it is heavier than I thought.
My pleasure. It seemed like a vacuous excuse. I get pretty sick of those diversionary tactics.Furthermore, I have never had any trouble understanding what Han is saying, except where he is using some mathematical construct with which I am not familiar. His English is not bad, and blaming your disagreement on his inability to communicate is kind of low.Thank you very much, Tony, for this sort of defense.
Well, it seems to me that perhaps you're saying something like, "Those with their heads in the abstract should keep their feet in the concrete", though that sounds a little funny.So, let's engage in lively debate, and maintain our civility, while chopping each other's arguments to pieces. Of course, this can only happen if we don't consider our arguments to be part of our anatomy. Otherwise, it gets personal.Uhm, since litteraly everybody is complaining ... Let it be an encryptedWell, that's a difficult type of quote. Han - I wouldn't mind working on exactly how you want to say that in English, if you like. :)Really? You've never had anybody else other than me complain that youYou are misinterpreting virtually all my posts. You claim that you'reI have only this kind of trouble with _you_ and nobody else on the web.
not dishonest so I have to conclude you're simply incapable of
comprehending written English. This makes this whole subthread
pointless.
misinterpret their posts? I suppose I must have hallucinated dozens of
posts I've seen of just that, then.
You've never had anyone other than me struggling to understand what the
devil you mean by your broken English? I must have hallucinated, for
example, "A little physics would be no idleness in mathematics", then
:)?
message then :-)
Math=Science?
Scientists, particularly those in the sciences most dependent on mathematics, tend to think that all mathematics is, or should be, a subservient to their particular fragment of science.
Mathematicians know better.
TO mistakes misapplication of mathematics, which is an error by scientists, as an error of the mathematics.
That's not what I said, and you know it.
The history of science is strewn with scientists getting their theories wrong and then having to change their minds about how things work.
The same holds true for mathematics. How long did it take to resolve the inconsistencies in set theory to the satisfaction of the mathematical community? What ever happened to infinitesimals?
The only major time that happened in mathematics was the discovery of non-Eucidean geometry, and Euclidean geometry was based mostly on the conlusins of science, not pure math.
If you say so. Somehow I thought theories about numbers starting at 1 and all being countable, or always positive, or always finite, or not having a square root if negative, were all theories that were overturned given later advances. Where calculus was invented, the theory took a long time to formally state. So, you're claim is simply wrong.
.
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