Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


Math Forum
»
Discussions
»
sci.math.*
»
sci.math
Notice: We are no longer accepting new posts, but the forums will continue to be readable.
Topic:
Probabilities not in [0,1]?
Replies:
8
Last Post:
Mar 12, 2013 10:56 PM




Re: Probabilities not in [0,1]?
Posted:
Mar 12, 2013 7:50 PM


On Mar 10, 11:36 am, "Peter Percival" <peterxperci...@hotmail.com> wrote: > Is there a theory of probability in which probabilities do not lie in the > real interval [0,1]?
http://arxiv.org/abs/0912.4767
> More specifically, is there one in which the "space" > of probabilities may have points x, y, z with x < y, x < z but y and z not > necessarily comparable?
Not sure what you mean by "not necessarily comparable", but in the system of smooth infinitesimal analysis we have that if y and z differ by an infinitesimal then the order relation does not satisfy the trichotomy law: (y < z) OR (y < z) OR (y = z)
http://en.wikipedia.org/wiki/Smooth_infinitesimal_analysis http://publish.uwo.ca/~jbell/invitation%20to%20SIA.pdf



