On Mon, Feb 4, 2013 Craig Weinberg <whatsons...@gmail.com> wrote: > If geometry did not exist. Could you invent it with mathematics alone? >
Mathematicians have invented geometries of 5, 6, 7, or even a infinite number of dimensions as in Hilbert space even though they have no tactile experience of such things. They do this by increasing the number of independent parameters that are needed to define a point particle. Then they specify a few simple logically consistent rules by which one set of parameters can morph into another set of parameters and call this process "movement". A Turing Machine could do the same thing, but I do admit that It a Turing Machine requires the existence of at least one dimension, I don't see how a zero dimensional point brain could work because you need things to be able to change in it. John K Clark -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To post to this group, send email to email@example.com. Visit this group at http://groups.google.com/group/everything-list?hl=en. For more options, visit https://groups.google.com/groups/opt_out.