Re: Mathematics: how to start again

On Sep 11, 5:25 am, Frederick Williams <frederick.willia...@xxxxxxxxx>
wrote:
v4vijayakumar wrote:

Give an example of a topological space that is both connected and totally
disconnected.

I don't know what mathematically that means, but is it possible
something to be both connected and disconnected..?? If it is connected
then it is not disconnected, or, if it is disconnected then there is
no connection. :-)


Consider the segment [0,1], and to each point we assign a probability
of 1/2 that the point exists. Consider the points, as stated, and not
the expected length.

Then, there is a nonzero probability that the whole thing is totally
connected, and a nonzero probability that the whole thing is totally
disconnected.

The only problem is that this solution requires existential
indeterminacy - therefore, the solution itself is wholly questionable
as to whether it is even math or not. This is indeterminate, and so
why am I posting in sci.math ? Because it _might_ be math !

It also might be nonsense. Again, that's indeterminate.

I believe that was stated properly - but you should also probably not
listen to what I say. Im sure there is a perfectly logical answer to
the question, as opposed to mine which is indeterminate as to whether
it is logical or not.


.

Relevant Pages

  • Re: Mathematics: how to start again
    ... no connection. ... there is a nonzero probability that the whole thing is totally ... as to whether it is even math or not. ... It also might be nonsense. ...
    (sci.math)
  • Re: Mathematics: how to start again
    ... no connection. ... there is a nonzero probability that the whole thing is totally ... as to whether it is even math or not. ... It also might be nonsense. ...
    (sci.math)
  • Re: Mathematics: how to start again
    ... no connection. ... and a nonzero probability that the whole thing is totally ... as to whether it is even math or not. ... Good grief. ...
    (sci.math)
  • Re: Mathematics: how to start again
    ... no connection. ... there is a nonzero probability that the whole thing is totally ... head _and_ the same is true for tail, but once it is a head, then it ... can not be tail. ...
    (sci.math)
  • Re: Mathematics: how to start again
    ... no connection. ... there is a nonzero probability that the whole thing is totally ... I remember these words connected and disconnected in graph ... Had WE asked 'Give an example of a topological space that is both ...
    (sci.math)