ABSTRACT
The fundamental ideas of the pamphlet in question are these:† (1) the representation (Abbildung) of a system (21); (2) the notion of a chain (37); (3) the chain of an element (44); (4) the generalized form of mathematical induction (59); (5) the definition of a singly infinite system (71). From these five notions Dedekind deduces numbers and ordinary Arithmetic. Let us first explain the notions, and then examine the deduction.
