maths proves 1=0.999...thus maths ends in self contradiction

Philosophy Forums Science, Technology, and Math
1

A thread on here
viewtopic.php?f=4&t=187035
talks about the beauty of the mathematical universe but this work below shows mathematics ends self contradiction or meaninglessness
so if by that thread the universe is mathematical then from this work below the universe is a contradiction and meaningless

This work proves maths ends in self contradiction for 4 reasons
scribd.com/doc/40697621/Mat … tradiction

  1. maths proves 1=0.999… or a finite number 1 = a non-finite number 0.9999… thus a contradiction in terms thus maths ends in contradiction
  2. maths proves 1=1 thus maths ends in contradiction ie 1 heap of salt+1 heap of salt=1 heap of salt
  3. ZFC axiomatic set theory is inconsistent as one of its axioms the axiom of separation bans impredicative statements but being impredicative itself it must ban itself thus maths ends in contradiction
  4. maths cant tell us what a number is without circularity thus mathematics is meaningless
2

It is true that 1.0000… does not equal 0.9999…, despite recent stories. All of the proofs in the Wiki article are invalid.

But just because someone makes an invalid proof using math or logic doesn’t mean that math or logic is invalid.