Intuition
The intuition is a mode of knowledge independent of the Raison.
The Latin word intuitio indicates the action to see an image in an ice; intuitus has the same direction as French “ intuition ”. It is a question “of seeing inside”… For Emile Littré it can cover a theological meaning , philosophical, or wide.
The philosophical intuition
For Descartes, “There are not other ways which are offered to the men, to arrive at a unquestionable Connaissance of the Vérité, which the obvious Intuition and the Déduction necessary” (XII° regulates).
Jean Paul Sartre increases: “It is of other knowledge only intuitive. The deduction and the Speeches, improperly called knowledge, are only instruments which lead to the Intuition. ”
For Bergson, it is a theory which is based on the intuition of the absolute or reality in itself.
For Scheller and Hartmann, it is a theory which recognizes with the man the intuition of absolute standards. The intuition, like mode of revealing of inexpressible, is a phenomenon Mystique. To want to express (to translate) led to the Aporia.
Mathematical intuitionalism
The Intuitionalism with only one " n" , is a neologism rising from the English language. It indicates the doctrines defended by Brouwer and its disciple Heyting, in opposition to the formalism of Hilbert, and according to which mathematics is intuitive and cannot be purely hypothético-deductive.
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