In every science, after having analysed the ideas, expressing the more complicated by means of the more simple, one finds a certain number that cannot be reduced among them, and that one can define no further. These are the primitive… — Giuseppe Peano Copy Share Image
Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses. But in order that this work merit the name of Geometry, it is necessary that these hypotheses… — Giuseppe Peano Copy Share Image
In every science, after having analysed the ideas, expressing the more complicated by means of the more simple, one finds a certain number that… — Giuseppe Peano Copy Share Image
Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are… — Giuseppe Peano Copy Share Image
Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is… — Giuseppe Peano Copy Share Image
1. 0 is a number. 2. The immediate successor of a number is also a number. 3. 0 is not the immediate successor of… — Giuseppe Peano Copy Share Image
Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses. But… — Giuseppe Peano Copy Share Image
No number before zero. The numbers may go on forever, but like the cosmos, they have a beginning. — Giuseppe Peano Copy Share Image
