Exactly how many axes of symmetry does a circle have?

sequoianoir

An infinite number ! Oct 08 03, 6:01 AM

mibmob

Although DB is right, how can infinity be an exact number/amount? Oct 08 03, 6:25 AM

Kainantu

Infinity plus 1 minus 1 mibmob. That's a number Oct 08 03, 7:42 AM

gmackematix

Which infinity? Aleph null? Aleph one? Oct 08 03, 10:53 AM

Gnomon

The number of axes is C, the infinity of the Continuum, rather than Aleph Null, the countable infinity, since you asked. Oct 09 03, 6:04 AM

gmackematix

I've never heard aleph one called C before but, yes, it is the next one up from aleph null. For the confused out there, a mathematician called George Cantor found that not all infinities were the same and labelled the different infinities with the Hebrew first letter aleph followed by a number, starting with aleph zero (also called aleph null). Aleph-null indicates the infinite number of any set that can be put in one-to-one correspondence with 1,2,3,4,5,... Strangely, this includes all fractions with a whole top and bottom. The next highest infinity, sleph-one is the infinite number of all sets that can be paired off with all the points on a line. This includes all the points in space which can be projected onto a line. There are "bigger" infinities such as aleph-two, the number of, say, the set of all possible curved graphs of y as a function of x. Oct 09 03, 7:35 PM