Algebra will now establish that
thereby showing that indeed P(n + 1) holds.
Algebra will now establish that
thereby showing that indeed P(n + 1) holds.
Algebra will now establish that
thereby showing that indeed P(n + 1) holds. [1]
Algebra will now establish that
thereby showing that indeed P(n + 1) holds.
x2 - 4
In 370 BC, Plato’s dialog Parmenides may have contained the first inductive proof ever. [2] Other implicit traces of mathematical induction can be found in Euclid's proof that the number of primes is infinite and in Bhaskara's " cyclic method". [3] Other examples of inductive arguments have been found in other cultures. [4]
"The process of reasoning called "Mathematical Induction" has had several independent origins. It has been traced back to the Swiss Jakob (James) Bernoulli, the Frenchman B. Pascal and P. Fermat, and the Italian F. Maurolycus. [...] By reading a little between the lines one can find traces of mathematical induction still earlier, in the writings of the Hindus and the Greeks, as, for instance, in the "cyclic method" of Bhaskara, and in Euclid's proof that the number of primes is infinite."
Algebra will now establish that
thereby showing that indeed P(n + 1) holds.
Algebra will now establish that
thereby showing that indeed P(n + 1) holds.
Algebra will now establish that
thereby showing that indeed P(n + 1) holds. [1]
Algebra will now establish that
thereby showing that indeed P(n + 1) holds.
x2 - 4
In 370 BC, Plato’s dialog Parmenides may have contained the first inductive proof ever. [2] Other implicit traces of mathematical induction can be found in Euclid's proof that the number of primes is infinite and in Bhaskara's " cyclic method". [3] Other examples of inductive arguments have been found in other cultures. [4]
"The process of reasoning called "Mathematical Induction" has had several independent origins. It has been traced back to the Swiss Jakob (James) Bernoulli, the Frenchman B. Pascal and P. Fermat, and the Italian F. Maurolycus. [...] By reading a little between the lines one can find traces of mathematical induction still earlier, in the writings of the Hindus and the Greeks, as, for instance, in the "cyclic method" of Bhaskara, and in Euclid's proof that the number of primes is infinite."