5 ms·
Funnily enough, the traditional formal definition of product is due to Peano and it would say 5x3=5+5+5: https://en.m.wikipedia.org/wiki/Peano_axioms#Multiplica
by xworld21 11y ago
Funnily enough, the traditional formal definition of product is due to Peano and it would say 5x3=5+5+5: https://en.m.wikipedia.org/wiki/Peano_axioms#Multiplication https://en.m.wikipedia.org/wiki/Peano_axioms#Multiplication
- chris_wot 11y agoPaeno axioms do not define multiplication. Multiplication is considered to be part of second-order arithmetic, which includes Paeno arithmetic (which is a first order system) and augments it to form a stronger set of axioms, of which multiplication is one of them. The definition of multiplication is indeed in the Wikipedia article, but if you reread it then you'll see it doesn't claim to be a Paeno axiom. A better article to read (after reading about Paeno axioms!) is here: https://en.m.wikipedia.org/wiki/Second-order_arithmetic#Basic https://en.m.wikipedia.org/wiki/Second-order_arithmetic#Basi...