SET Theory {😵,🥵,🤪,😵,🤯}
If you don't sow a seed correctly, it will not bear desired fruits.
Set Theory can explain cardinality and ordinality, but numbers cannot be explained by set theory.
Definitions of Naturals, Rationals and all other types of numbers using set theory is not satisfactory and appropriate.
Why inappropriate?
Definition of numbers changes again and again.
The concept and definition of "number" must be consistent throughout the mathematical framework.
Sets are great in dealing many domains in mathematics but is not a fundamental framework in mathematics.
Cantor's diagonal argument and different sizes of infinity is just a magician's trick to me because of wrong reasoning.
Why? Because the concept of numbers is erroneous and built upon wrong foundation.
The existence of Set theory is on the very 'axioms'.
If you have heard about "Banach–Tarski paradox", you must be overwhelmed about the nature of mathematics we currently have. These types of unintuitive and unpractical things can be explained efficiently using my framework. This paradox has no place in my framework.
But why this paradox exists?
Because of the wrong foundation.
If you don't sow a seed correctly, it will not bear desired fruits.
Last updated