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1 - 1 is a number

2 - The immediate successor of a number also is a number.




3 - 1 is not the immediate successor of any number.

4 - Two different numbers are not as immediate successor.

5 -All property belonging to 1 and the immediate successor of any number that also have that property belongs to all numbers
( mathematical induction).

Peano axioms or postulates of Peano accurately define the set of natural numbers. Were established by the Italian mathematician Giuseppe Peano (1858-1932) in 1889.
Although Richard Dedekind tried to base the natural numbers, based on the ideas of set theory developed by this time that George Cantor, it was not Giuseppe Peano who provided an axiomatic definition of the set of natural numbers. He did this by five axioms, using three primitive concepts, Zero , number (natural number or negative integer) and the binary relation be successor (or next )

A axiom in philosophy, is an "obvious truth" that no requires proof, as is admitted by all, and on which to build the rest of knowledge, though, not all epistemologists agree with this definition "classic."

In mathematics, an axiom is not necessarily a truism, but a logical expression used in a deduction to arrive at a conclusion. In mathematics there are two types of axioms: logical axioms and non-logical axioms.

The word comes from the Greek axiom αξιωμα (axiom), which means "it seems fair" or what is considered obvious and without demonstration. The word comes from the Greek αξιοειν (axioein) which means "value", which in turn comes from αξιος (Axios) meaning "valuable" or "worthy." Among the ancient Greek philosophers an axiom was what appeared to be true without any need for proof.

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Source.: Wikipedia

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Mr. Watson, come here, I need to see.

memory rattles with phone today met chant the 161 years of the birth of Alexander Graham Bell. His family was devoted to the human voice, his father, grandfather and uncle were associated with public speaking and teaching techniques communication for the deaf. Because his sister and mother were deaf interest in the production and hearing the voice was a passion for Bell. Among the first devices include a mechanical head able to Fonar few words. There is also a story that, by manipulating the trachea and the lips of her dog, was able to make the animal howl sounded anything remotely "How are you grandma?".

Bell In 1870 the family moved to Canada and later to the United States where Alexander would be granted American citizenship. It was in Boston where aided by a young electrician, Thomas Watson, Bell began work to convey voice by electricity. And had long since been experimenting with tuning forks following the experiments of Hermann von Helmholtz who had conveyed vowel sound through a similar pitch, "Not knowing much about it, I think that if a vowel sound can be produced by means Electrical and consonants could also allowing for the articulation of speech. "

His work with electromagnets and tuning forks, could begin to outline a "speaking telegraph" using variations in electrical current transmitted to generate vowels, consonants and with these words. In Bell's notebook dated March 10, 1876, describes the experiment would mark the success of the work. Alexander Bell took the unit and spoke through him. In a speaker located in an adjacent room, Thomas Bell heard his boss say, "Mr. Watson, come here, I need to see "and the story of your birth. Alexander Graham Bell

was not alone in working on a speaking telegraph, alongside the American inventor Elisha Gray. In the 1870 two men presented their developments at the patent office only hours apart which allowed the patent for invention was granted to Bell. The event began a legal battle finally won Alexander Bell. However, the situation
changed when the June 11, 2002, the U.S. Congress adopted Resolution 269 which recognized that the inventor of the telephone was Antonio Meucci and Alexander Graham Bell not to suggest that Bell apparently was not the first to create this device, but only the first patent.

According to this view, argues that Meucci Graham Bell and the device created quite separately (also thought that there was an indirect cross-referencing between the two researchers).