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Hello, 2 questions. 1. The set (0,1) has a cardinality of , so can you say that if a point is randomly chosen from it is the possibility P(a) that it is a particular 0<a<1 (which I know is for all intents and purposes 0)? 2. How do you draw with a pen and paper? All I can get is apparently a very uneven, unsymmetric, not aleph-y looking at all 'N'. 24.92.85.35 ( talk) 21:51, 16 September 2011 (UTC)
I draw the "legs" of the aleph as kind of integral-sign-shaped squiggles. That part of the question might be better for the language reference desk though. Never ask a mathematician how to draw a lower-case Greek "xi", either. Most just scribble. - GTBacchus( talk) 02:51, 17 September 2011 (UTC)
Just to be clear, since this is a point that some mathematicians not working in this area may be confused about: The cardinal number is defined as the cardinality of the set of all countable ordinals. Whether it is the same as is a perplexing question at best (and known to be independent of ZFC). Michael Hardy ( talk) 17:27, 18 September 2011 (UTC)
As for how to draw aleph, I do the top-left to bottom-right diagonal and then add a couple of integral signs. Take a look at the picture I drew, using a fountain pen brush, in MS Paint. — Fly by Night ( talk) 18:33, 18 September 2011 (UTC)
Why is division not defined for cardinals? -- 84.62.204.7 ( talk) 15:33, 19 September 2011 (UTC)
Mathematics desk | ||
---|---|---|
< September 15 | << Aug | September | Oct >> | September 17 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Hello, 2 questions. 1. The set (0,1) has a cardinality of , so can you say that if a point is randomly chosen from it is the possibility P(a) that it is a particular 0<a<1 (which I know is for all intents and purposes 0)? 2. How do you draw with a pen and paper? All I can get is apparently a very uneven, unsymmetric, not aleph-y looking at all 'N'. 24.92.85.35 ( talk) 21:51, 16 September 2011 (UTC)
I draw the "legs" of the aleph as kind of integral-sign-shaped squiggles. That part of the question might be better for the language reference desk though. Never ask a mathematician how to draw a lower-case Greek "xi", either. Most just scribble. - GTBacchus( talk) 02:51, 17 September 2011 (UTC)
Just to be clear, since this is a point that some mathematicians not working in this area may be confused about: The cardinal number is defined as the cardinality of the set of all countable ordinals. Whether it is the same as is a perplexing question at best (and known to be independent of ZFC). Michael Hardy ( talk) 17:27, 18 September 2011 (UTC)
As for how to draw aleph, I do the top-left to bottom-right diagonal and then add a couple of integral signs. Take a look at the picture I drew, using a fountain pen brush, in MS Paint. — Fly by Night ( talk) 18:33, 18 September 2011 (UTC)
Why is division not defined for cardinals? -- 84.62.204.7 ( talk) 15:33, 19 September 2011 (UTC)