RE: The nature of number
October 28, 2012 at 11:02 pm
(This post was last modified: October 28, 2012 at 11:12 pm by jonb.)
As an outsider, looking at the academic approach to maths;it occurs to me that because it seems to be practically driven, it is very good at seeing the categories. (this does this, and because that does that, we can use it to work out what third section can or cannot do.)
However I feel there may also be an order to the parts, that they are not just a collection of bits that work together, but that there could be an underlying structure to number. I find it interesting that a set of one form behaves differently than a set of another form. One seems to be able to replicate itself or have depth. while the other only seems to be able to extend its ends. From my outside prospective this looks like one form could be derived from the other. Which to me implies a hierarchy of some sort.
However I feel there may also be an order to the parts, that they are not just a collection of bits that work together, but that there could be an underlying structure to number. I find it interesting that a set of one form behaves differently than a set of another form. One seems to be able to replicate itself or have depth. while the other only seems to be able to extend its ends. From my outside prospective this looks like one form could be derived from the other. Which to me implies a hierarchy of some sort.
