PhilosophyIdeas
.com Database 
Current Total Ideas:
19,285

home

back
Ideas of Giuseppe Peano, by Theme
[Italian, 1858  1932, Professor at Turin.]
idea number
gives full details 
back to list of philosophers

expand these ideas
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Number / a. Axioms for numbers
3338
Numbers have been defined in terms of 'successors' to the concept of 'zero'
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Number / d. Peano arithmetic
5897
0 is a nonsuccessor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(alln)