To avoid future errors, he made a set of statements centered around the concept of "successors" which claimed that a set containing zero and the successor of every number in the set contains every number.
He created the artificial language that became Interlingua and was the first to describe vector spaces algebraically. His discovery of a continuous mapping of a line onto every point of a square, his namesake space-filling curve, caused him to realize the counterintuitive nature of mathematics. To avoid future errors, he made a set of statements centered around the concept of "successors" which claimed that a set containing zero and the successor of every number in the set contains every number. For ten points, name this Italian who defined the natural numbers with his namesake axioms.
He created the artificial language that became Interlingua and was the first to describe vector spaces algebraically.
Giuseppe {Peano}