Recent content by Werg22

Of course, since they are countable. But you didn't say they had to have positive measure...

Pick two distinct points p and q in [0,1] and let A = {p} and B = {q}. Cut the interval in half, to get [0,1/2] and [1/2,1] and choose a pair of distinct points from each ({a,b} and {c,d} say). Throw into A one point from each interval (say a and c), and do the same for B (b and d). Repeat...

Dexter likes to ponder and reinterpret the things he sees and hears; Meursault is much more passive, I don't remember him ever pausing to speak his mind. And while Dexter is rarely emotional, Meursault is totally emotionless it seems: unmoved by the death of his mother and almost indifferent to...

I was answering this claim in particular: by MATLABdude: "The timing of this is terrible--it looks like people are out to 'get' him under spurious charges, rather than for legitimate reasons (which these may well be, especially if it's the Swedes who are pressing these)."

Bullocks. The Swedes provided assistance to the Nazis, even when they claimed to be Neutral. They're not angels. This an arrest warrant standing on very shaky allegations. All signs point to BS.

Many thanks micromass, you're clarified a few things for me. :smile:

Under the continuum hypothesis, we readily see that that |{a < \aleph_1 : \textrm{a is a cardinal}}| = \aleph_0 . What happens under the negation of CH? Is this equality still true or not? If the latter, always under the negation of CH, are there any infinite cardinals lambda for which the...

This could be just a piece of anti North Korea propaganda.

My understand was that propositions are simply strings of symbols, they're easily formalized into mathematical objects e.g. each symbol is identified with a natural number (symbols aren't strictly speaking mathematical objects) and then a proposition is a tuple of these numbers obeying some...

- Yes. - The totem in a dream is a projection. The idea is that in someone else's dream, the totem behaves differently because that person's subconscious is not aware of how it's supposed to work. In one's own dream, this is not the case, so the totem is useless. - A factor of 12 at each...

The second one is right.

Not too many people speak English in Iran... wait that didn't keep them from opening call centers in India, nevermind. :smile:

No it would mean there's a contradiction exists in mathematics and the whole of it has to be revised.

If you do refute a statement after it has been proven, every mathematician's reality will come breaking down.

Even if you do get this to work, all you will have proven is that the sum of the areas of some rectangles tends to the same limit as that of some differently oriented rectangles, as their number goes to infinity. If you're interested in defining area correctly and proving its properties, you...