Articles

I Empirical Fact: 0 is not a Number but represents “nothing”

Oct. 2022. In science today, 0 is undisputedly considered to be a number. But 0 marks an empty place in the sequence of digits of place value numbers. This empirical fact necessarily presupposes the meaning "nothing" of numbers, i.e. "no number". This statement was valid for three thousand years. In the 16th century, due to philosophical and religious reservations about the metaphysical Nothing, it was contradictorily reversed into its opposite, "something" and "number", thereby violating the tertium non datur. This wrong rationalistic definition is stipulated axiomatically. However, it shows no effects on applied mathematics, but causes contradictions in set theory. The axiomatic re-implementation of 0 to represent “nothing” initiates a re-evolution of the foundations of mathematics.