But, in the reality, the numerical relations could be discovered in many situations: in the vibration of a musical rope, and its eighth below or above, all vibrating in determined ratio; in the hammer beating in the two-horned anvil, whose sound varied the size in accordance with, and so on. Moreover, the Pythagoreans had also discovered the harmonic relations of eighth, fifth, fourth, as well as the numerical laws govern that them. In the nature the Pythagoreans had also discovered various other numerical relations: they are numerical laws that determine the years, the stations, the months, the days, etc. The cycles of development of the life, of the incubation of the embryos of the animals also is based on numerical cycles. From these constataes and taken by the religious enthusiasm, the Pythagoreans had also started to discover a series of relations where he did not have them. As Giovanni Reale in History of the Philosophy comments ' ' for us the number is a mental abstraction e, therefore, being of the reason; for the old way to think (and until Aristotle), however, the number was the real and even though most real thing? necessarily while such is that it came to be considered ' ' princpio' ' constituent of the things.

Thus, for them the number was not aspect that we abstract mentally from the things, but yes the proper reality, the proper physis of coisas.' ' Below some other thinkers of importance, mentioned for Digenes Larcio: – Epicarmos de Kos, lived between 550 and 460 B.C. It left written on the nature, customs and medicine. – Arquitas de Tarento, having lived by return of 400 B.C. she was strategist and politician and, according to tradition, saved the life of Plato informing it of the intentions of the Dionsio tyrant. – Alkmaion, lived around century V B.C., in unknown date.