Giuseppe Peano

Giuseppe Peano

Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy's main source of problems. That is why it is of the utmost importance to examine attentively the very words we use.More Giuseppe Peano quotes [03/29/2018 05:03:36]
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 or postulates express the result of the more simple and elementary observations of physical figures.More Giuseppe Peano quotes [03/29/2018 05:03:36]
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 ideas of the science; it is necessary to acquire them through experience, or through induction; it is impossible to explain them by deduction.More Giuseppe Peano quotes [03/29/2018 05:03:36]
Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define.More Giuseppe Peano quotes [03/29/2018 05:03:36]
No number before zero. The numbers may go on forever, but like the cosmos, they have a beginning.More Giuseppe Peano quotes [03/29/2018 05:03:36]

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