Intuitionism in the Philosophy of Mathematics and Morality

Intuitionism in the Philosophy of Mathematics and Morality

July 1, 2021 Off By Felso

It is a concept used in philosophy both in philosophy of mathematics and in ethics.

In ethics, it defines the confirmation, acceptance or rejection of ethical propositions based on intuition. Accordingly, an ethical statement that is compatible with intuition is acceptable, while an ethical statement that is not based on intuition or is inconsistent with intuition is unacceptable.

Whether actions are right or wrong is not a conclusion to be reached by thinking about them, but rather a knowledge to be reached by direct intuition. Apart from intuitionism, although most ethicists pay attention to the compatibility of general intuitions about certain ethical problems with the solution of the problem, in intuitionism, importance is given to solving ethical problems in a completely compatible way with general intuition, since knowledge beyond thinking and experience, and therefore conclusions should be reached only by intuition.

In mathematics, the concept of intuitionism was put forward by the Dutch mathematician Luitzen Egburtus Jan Brouwer. Mathematics is called intuitionism. The origin, however, can be found in Henri Poincaré and Leopold Krönecker.[1] Accordingly, mathematical axioms can be grasped directly by intuition. Mathematical priors are intuitively grasped, and therefore this indicates the superiority of mathematics.

[1] “intuitionism” The Oxford Dictionary of Philosophy. Simon Blackburn. Oxford University Press, 1996.