By: Marsigit, M.A.
Reviewed by: Hafizh Praditya Mahardika/09301241001
According to Kant, mathematics as a science is possible if the mathematical concept of spatial and constructed based on the intuition of time. Construction of mathematical concepts based on the intuition of space and time will result in mathematics as a science that is "synthetic a priori". Kant has given the depth and accuracy of the mathematical foundation, and by because it's achievements can not be ignored. In the ontology and epistemology, after the era of Kant, mathematics has been developed with pendekatanpendekatan a bit much influenced by Kant's view. Dipahamai and mathematics should be constructed using pure intuition, that is intuition "space" and "time".Mathematical concepts and decisions that are "synthetic a priori" will cause the natural sciences had become dependent on mathematics in explaining and predicting natural phenomena.According to him, mathematics can be understood through "intuition sensing", as long as the results can be adapted to our pure intuition. The mathematics are "synthetic a priori" can be constructed through three stages of intuition is "intuition sensing", "intuition is reasonable", and "intuitive mind". Intuition sensing associated with mathematical objects that can be perceived as an element a posteriori. Intuition sense (Verstand) mensintetiskan results penginderan intuition into intuition "space" and "time". With the intuitive mind "Vernuft", the ratio we are faced with decisions of mathematical argumentation. According to Kant (Kant, I., 1781) mathematics is a reason have property of constructing concepts are synthetic a priori in concepts of space and time. In particular geometry can be objectively true when it comes to sensing objects. Geometry concepts are not only generated by pure intuition, but also related to the concept of space in which objects are represented geometry. Kant gives a solution that mathematical concepts first obtained a priori from the experience with intuitive sensing, but the concept is not obtained, but rather purely empirical. The process is thus a first step that must exist in mathematical reasoning, if not then there will be no math reasoning. The next process is a synthetic process in the sense of intuition "Verstand" which allows contructed mathematical concepts that are "synthetic" in space and time. If the concepts of geometry was to eliminate the concepts of empirical or sensing, the concept of the concept of space and time would still remain; namely that the concepts of geometry are a priori. Decision mathematics is the awareness that complex cognition that have the characteristics: a) relating to the objects of mathematics, either directly (through intuition) or indirectly (through concepts), b) include both mathematical concepts and the concepts entirely on predicate subjects, c) is a pure reasoning in accordance with pinsip-pinsip pure logic, d) involve the laws of mathematics are constructed by intuition, and e) state the truth value of a mathematical proposition.
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