Unity, Set And Self-Reference

 

If the early philosophical links with the West were Greek, the first mathematical links were Italian. The development of the Concept of Zero, its Western intellectual foundations, begin with  Fibonacci [1170-1240; ‘The Greatest Western Mathematician of the Middle Period’] and sealed later by Guiseppe Peano [1858-1932].

The latest subscribed research into Number Theory goes back less than 150 years with the formal conceptualization of the Symbol ‘0’ by Guiseppe Peano in his five famous postulates. [The first postulate reads: ‘Zero is a natural number’].

The Mathematician’s notion of Unity or Wholeness is the idea of the Mathematical Set. [In the wonder-world of the Self-Loop, the word with the most number of posted definitions the last time I checked seems to be the word ‘Set’, as in Mathematical Set, which is another word for ‘Definition’. See the Post.]

The problem becomes intractable once the investigators take the notion of ‘Unity’ to its necessary limit. And that required immersion into Set Theory [again, Peano pioneered its early application]. And in Set Theory they hit head-on into the Self-Loop.

The Self-Eating Expression comes alive from the shadows anytime something is used on itself, anytime we are wading, knowingly or otherwise, into the swamp of the Self-Loop.

The single tripper-upper? The notion of Self-Reference [recursion, repetition, reflection and numerous variants].