Hi:

We see entities in our reality as groups of wholes having unity and subgroups of these wholes. Since the principle matches what we observe, math becomes a powerful tool, but like law for example, math can also become a weapon...guiding us toward the absurd...even destructive.

The 4D reality we live in is so close to impossible it is absurd- yet it exists. (My site is an attempt to explain WHY). Still this nearness to impossibility which is absurd reflects the edge of what we immediately perceive...and an implicit weakness in trying to use math to truly and ultimately define reality.

Just as ancient sailors did not fall off the edge of the earth, but rather discovered a new world, we should not be afraid to "sail on" because the universe we live in is geometrically- and mathematically- chiral. It is rough, and in some ways impossible to rationally define, yet chiral regions of the universe are dynamic and incredibly beautiful in their variety.

The rough surface of the Earth is the origin and abode of life in all its diversity. Maleness and femaleness is a beautiful illustration of dynamic (very dynamic) chirality...symmetry and complexity emerging systematically from chaos and then simplicity.

I think it is incredibly conceited, arrogant and irrational to doubt the power of mathematics to describe our cosmos. I believe in the power of the rational and complex, at least insofar as WE are rational and complex. The answers are there- and we will find them in mathematics- despite the fact that math like any modeling system has its inherent limitations.

I've pointed out the limits of mathematics on this forum. The real universe is not a zero to infinite proposition, in certain key areas (mass) anyway...C(0+) remember?...but in that chiral fact, and the resulting two/sphere lies a clue to why our reality- and the ability of GR to describe the cosmos stops cold at 10 to the minus 33rd Cm.

My philosophy professor in college noted that any logical system can be pushed to absurdity, and mathematics is no exception. Nevertheless, the existence of flaws in a logical system- especially if there is a rational pattern in these "flaws" is more a proof that we are describing the universe we really live in, than an indication of an underlying nihilist nothing!

Best Wishes, Sam Cox