....Infinity

Hellow every one.

Amillionaire who bought a pair of socks whenever he bought a pair of
boots , and never at any other time , and who had a passion for buying
both that at last he had Aleph-0 pairs of boots and Aleph-0 pairs of
socks . The problem is: How many boots had he,and how many socks?


Bertrand Russell.

Note: Some would think that the number of boots is Aleph-0 and of socks
is Aleph-0
But the author of this problem says it is not necessarily the case. The
solution of the problem
is related to the subject of selections and the multiplicative axiom.

Can any body explain that?

.

Relevant Pages

  • Re: Boots fitting problem
    ... of walking socks instead of the usual one pair (it was snowing ... boots, so if you've sized for one, stick to that. ... ALt-Berg are the standard 'made to measure' walking boots folks, but you have to trot up to Yorkshire. ... Let me echo the comment on extra socks though - I have several pairs of boots, varying slightly in size, and the smallest ones will HURT with my normal thick smartwool socks. ...
    (uk.rec.walking)
  • Re: Waterproof socks.
    ... My experience of "high tech" boots in heather/peat is they leak and stink. ... My sealskinz work ok and I also use neoprene socks. ... Feet cold/wet? ... The last pair of leather boots I bought were goretex lined. ...
    (uk.rec.shooting.game)
  • Re: Boots fitting problem
    ... of walking socks instead of the usual one pair (it was snowing ... boots, so if you've sized for one, stick to that. ... ALt-Berg are the standard 'made to measure' walking boots folks, ... The larger boots take the thick sock, ...
    (uk.rec.walking)
  • Re: Source for Rock boots
    ... I've got the DUI rock boots but they are really too large for me. ... "Roomy" is good, IMHO. ... Are you talking about THICK socks that can keep ... I know of one diver who gets cold feet because he got Rockboots in his ...
    (rec.scuba.equipment)
  • Re: do you wear reg socks or thin socks or 2 pair of socks or?
    ... What do speedskaters wear in outdoor events? ... I never had a cold foot in racing. ... of socks - one liner and one thicker outer sock for warmth. ... xc boots are generally fitted - racing style anyway ...
    (rec.skiing.nordic)