Dear Sir,
Your essay has lot of potential for development into many branches. In ancient India, year was named with a base of sixty called Jupiterian cycle, which is followed even today. The base comes from the conjunction of Jupiter and Saturn on the same straight line drawn from Earth, which happens every sixty years.
The simplest answer to Zeno's paradox is that velocity is related to the mass of the body that is moving, the energy used (force applied) to move it and the total density of and the totality of the energy operating on the field. These are all mobile units against the back drop of the field that is static with reference to these. Middle of the distance is related to the frame of reference, which is static, while the other aspects are relatively mobile. Thus, it is like comparing position and momentum. They do not commute. Hence there is no paradox, which is borne out of experience. While the middle of the distance is gradually reduced, the velocity is not reduced by the same proportion. Hence the runner will reach the end point. These two aspects represent the first two digits of the Fibonacci sequence invented by the 8th century Indian mathematician Mahavira. The rest are the interactions. The same is true for life. One sperm fertilizes one egg and their interaction drawing from the environment grows. The same applies to other fields also.
You have correctly stated that: "We believe in objects because of their qualia". But "mathematics is how we use reason to describe of the qualia of objects" can be misleading. Mathematics describes quantitative aspect of Nature, while physics describes the qualia. For example, color is differentiated by wave length of the light emitted by it. If we add blue to yellow, it becomes parrot green. But if you add or subtract the wavelengths, it will not match. We have discussed these aspects as well as space, time, relativity, equivalence and complex numbers etc., in detail in our essay.
Language is the transposition of information to another system's CPU or mind by signals or sounds using energy (self communication is perception). The transposition may relate to a fixed object/information. It can be used in different domains and different contexts or require modifications in prescribed manner depending upon the context. Since mathematics follows these rules, it is also a language. Mathematics explains only how much one quantity, whether scalar or vector; accumulate or reduce linearly or non-linearly in interactions involving similar or partly similar quantities and not what, why, when, where, or with whom about the objects. These are subject matters of physics. The interactions are chemistry.
Regards,
basudeba