»Who decided that the capacity of a natural number had to be absolutely finite? And how is it possible that no one has ever questioned it?"
»Since the beginning, natural numbers have been considered perfectly established entities with well-defined properties, without serious questioning. But who decided that they had to be this way and not otherwise?
»If we cannot justify why natural numbers must be as they are, then the entire current theory is incomplete and arbitrary.
»What if the very existence of a natural number were intrinsically tied to its persistence in time?
»Let’s propose an alternative hypothesis:
Suppose that each natural number is not just a fixed quantity but a structure associated with a unit... (read 294 more words →)
I only hope to receive a sufficiently humble and thoughtful response, with a prudent and comprehensive willingness to read my full doubts before answering.
In short, I solemnly suggest reading carefully before offering a hasty response. I mention this because, just five minutes after publishing my question on Mathematics Exchange, I received nothing but a closure resolution and a seemingly polite yet condescending comment asking me if I knew how to count.
I strongly suspect that no one took the time to properly read and engage with the philosophical context I was proposing regarding the conventions of Natural Numbers.
I share this here with the sole hope of receiving a respectful and sufficiently polite response from anyone willing to truly meditate on the questions I am raising.