Natural numbers

Natural numbers can be used for counting (one apple, two apples, three apples, ...) In mathematics, the natural numbers are those used for counting ("there are six coins on the table") and ordering ("this is the third largest city in the country"). These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively. http://en.wikipedia.org/wiki/Natural_number

There are many more different physipaths, physapaths, neuropaths, awarepaths, mentapaths, ixpepaths, epipaths, than there are counting infinite numbers. There are at least as many itofazpaths as there are natural numbers. This is the enumerability principle of itofazpaths.