Continuity and Mathematics There is simply no way around it. No matter how many individual notes one might string together it will never replicate it come close to describing the sound of a symphony. No matter how many words one strings together (as the modernist novelists attempted to do), it still never describe the sense of duration. No matter how many numbers one pulls together, in any manner one tries, it will never be able to describe the nature of complete and full continuity. Continuity does not live in discreteness, and unfortunately philosophy, for the most part, had chosen, discrete symbolism to describe what is a continuous flow, and the two can never meet.
The only way to understand nature is to fully and completely remove symbolism from the investigation. One must explore music, light, motion, thought, consciousness, dreams, sound, etc. directly. One must use consciousness to directly explore itself and penetrate it deeply.
Admittedly, without telepathic communication available to us, for discussion purposes we must resort to symbolic metaphors that in some way describe the continuous flow (I use the ocean and the symphony as my metaphors) always avoiding any addition of symbols that might allow for discreteness. Much of your arguments fully depend on creating discrete, which may be practical under many circumstance. But when discussing the nature of nature, discrete symbolism is more than impractical, it unleashes all kinds of paradoxes which are sure fire red flags that another mode of analysis is required.