Power of the continuous one

In Mathematical, one says of a Ensemble which it with the power of continuous the if its cardinal is the same one as that of the body of realities, i.e. $2^\; \{\backslash \; aleph\_0\}$, cardinality of the parts of all the natural whole .

It is shown that a unit E with the power of continuous if there exists a Bijection between E and $\backslash \; mathbb\; R$ by definition of the equipotence of two units.

A great question of mathematics was to know if there was units whose cardinal is taller than that of countable (the cardinal of $\backslash \; mathbb\; \{NR\}$ noted $\backslash \; aleph\_0$) and lower than that of continuous the $2^\; \{\backslash \; aleph\_0\}$. Georg Cantor put forth the assumption that such a unit did not exist, known under the name of Hypothèse of continuous the.

For the anecdote, this term of " power of the continu" at summer used by the psychoanalyst Lacan in a context obviously quite different. A polemic begin with certain scientists was followed from there regarding this abuse as one intellectual imposture.

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