review 8

PERAN INTUISI DALAM MATEMATIKA

MENURUT IMMANUEL KANT

By : Marsigit

Mathematics as a science, according to Kant is possible if the concept of mathematical intuition constructed based on spatial and time. It was described in his work The Critique of Pure Reason and the Prolegomena to Any Future Metaphysics. Construction of mathematical concepts by intuition of space and time will result in mathematics as a science that is "synthetic a priori". as said is said by Kant as follows:

When I say that in space and time intuition represents both external objects and the selfintuition of the mind, as it affects our senses and as it appears, that does not man that such objects are a mere illusion; for in appearance objects, along with the situations assigned to them, are always seen as truly given, providing that their situation depends upon the subject's mode of intuition: providing that the object as appearance is distinguished from an object in itself. Thus I need not say that body simply seems to be outside of me…. when I assert that the quality space and time… lies in my mode of intuition and not in objects in themselves (Werke, dalam Gottfried, P., 1987).

then by Kant, synthetic methods opposed to analytic methods and the concept of "a priori" opposed to "a posteriori". If the mathematics is developed only by the method of "analytic" is not a new concept will be generated, thus will cause the math is just as science fiction. According to Kant, mathematics was not developed just by the concept of "a posteriori" because if so math would be empirical. But the empirical data gained from the experience necessary to explore mathematical concepts that are "a priori". This is where the unique role of Kant's theory, which attempts to give a solution of extreme conflict between the rationalist and the empiricist in building the foundation of mathematics.