By : Marsigit
Concluded Remark : Berliyanti Handayani / 10305144029 / Matematika Swadana 2010
(ntiberliiy.blogspot.com)
According to Kant (Kant, i., 1781) was a mathematical reasoning be construct concepts are synthetic a priori in the concept of space and time. Kant (Randall, a., 1998) concluded that the arithmetic and mathematics is geometry disciplines are synthetic and are independent of one another. In his work the Critique of Pure Reason and the Prolegomena to Any Future Metaphysics, Kant (ibid.) concluded that the truth of mathematics is synthetic a priori truths. The truth of logic and truth that is revealed only through the definition of truth is analytic then. The intuitive nature of the analytic truths a priori. But, the truth of mathematics as a synthetic construction of truth is a concept or some of the concepts that generate new information. If the concept of purely derived from empirical data then the verdict obtained was the verdict of a posteriori. Synthesis derived from pure intuition resulted in a verdict of a priori. Kant (Wegner, p.) concluded that intuition and decisions that are ”synthetic a priori” applies for geometry and arithmetic. Geometric concepts are “intuitif spatially“ and arithmetical concepts are ”intuitif time“ and “number“ , and both are ”innate intuitions”. With the concept of intuition, Kant (Posy, c.,1992) wanted to show that mathematics also requires empirical data which is that the nature of mathematics can be found through intuition, sensing but human reason cannot reveal the substance of mathematics as “noumena” but only reveal as “phenomena”. Kant (ibid.) contributed because it gives the middle way that mathematics is synthetic a priori verdict, i.e. the first verdict obtained for a priori, but the concept of experience gained is not empirical nature (Kant, i., 1783) but rather are pure. Knowledge of geometry that are synthetic a priori to be possible if and only if the concept of a spatially understood transcendental and produce a priori intuition.
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