Foundation of Thought:

All forces are inherently based on some geometry or topology (either algebraic or combinatorial).

Mathematics is a functional and causally relational language that defines and describes structures, patterns, and correlations found within geometric and topological surfaces and objects, and like all language is a product of the conscious human mind. Needless to say, this does not discredit the assertion of platonic realism and physicalism about the "real" world. Even though the language of mathematics is a construction, its purpose remains one of definition of real structures that exist independent of the human mind. The conscious human minds (representations of the physical brains of humans) exist within the complex geometric structure of which mathematics was designed to describe, and hence act as an objective observer of one's surroundings.

The peculiarities and oddities found in mathematics (as well as the elegant patterns and structures such as fractal geometry found in countless examples within nature), such as paradoxes and incongruities and infinities, are evidence of the exceedingly high level of comprehension and intricacy of which the geometric nature of reality is so designed. In our quest to better understand the reality around us in which we find ourselves, mathematics has developed a large number of "areas of study" (or intellectual interest) which has propagated in the diverse number of sub-categories of study, such as arithmetic, algebra, calculus, and of course geometry.

I would argue that all categories of mathematics (and the language of math itself) are an attempt at defining and describing what I believe to be the unifying real constant of this physical existence: geometry/topology.

All math, all physical forces, all causal interactions, all temporal events are interpretations of a timeless, infinite, boundless "super" structure that could be thought of as God. When defined according to set theory, this structure takes on a simplistic elegance, and aspects such as self-reflection and cardinality easily arise. These aspects of this structure inevitably recur throughout nature and time and can be observed in all aspects of mathematics and science.

It is important to maintain that mathematics should be thought of as a temporal/causal language as it not only defines relations between sub-parts of the God-structure, but in some cases requires a maintenance of mathematical laws such as communicative and associative (which could be thought of as requiring a temporal order to them so as to maintain the integrity of sequential events [i.e. 2 + 2 = 4 could be thought of as both a mathematical event in time and an ontological truth about space]).

To this end, I feel it is geometry/topology, which can be reduced to set theory, that represents the existence of the unifying real constant of reality. Further, in studies such as physics, one should keep focus on the truth that all physical forces are based on some geometry/topology of space/time.

The subjective existence of reality is the only aspect that one has exclusive access to, and therefore may be the basis upon which objective models of reality are constructed.

All perceptions are constructs of symbolic relations and are mental representations (associated and linked to specific physical brain states) of models of physical external (or sensory) data. For example, the perception of an apple is comprised of the collection of physical data points that trigger specific brain states that are related to the phenomenal construction of the spatial model (or image) of the apple in our "mind's eye" combined with our symbolic understanding of qualitative traits of the apple (i.e. the concept of size, shape, color, texture, etc.) Our mind extrapolates the "apple" by combining these quantitative and qualitative sets of data. Further, we understand the apple's existence through space and time and any motion the apple undergoes by extrapolating our understanding of causality (i.e. when an apple falls from a tree it travels along a downward vector relative to our position and "realm of influence" [in this case the planet and its atmosphere], in which forces act out according to their particular topologies).

Phenomenal subjective existence (or the conscious experience of reality from the subjective viewpoint) arises from a unique causal interaction among particular physical brain states. The "objective" truth of reality is therefore a convoluted and chaotic collection of data points defining both the quantitative, qualitative, and causally related terms of reality. In other words, reality is true chaos. The human mind's ability to extrapolate an order out of this chaos is the function of human perception. The only objective reality is a mutual reportability amongst most if not all subjective accounts.