KULIAH BAHASA INGGRIS P.MAT 1 (15)

PERAN INTUISI DALAM MATEMATIKA MENURUT IMMANUEL KANT
By : Dr. Marsigit, M.A
Summary by : Fatikha Akfini Anantaputri (09313244012)

Sunday , 25th september 2011
Kant contributes significantly in terms from the philosophy of mathematics, especially for the role of intuition and concept contruction mathematics.
According to Kant (Wilder, RL, 1952), mathematics must dipahamai and constructed using pure intuition, that intuition "space" and "time". Concepts and mathematical decisions that are "synthetic a priori" will lead to science natural sciences had become dependent on mathematics in explaining and predict natural phenomena. According to him, mathematics can be understood through "Intuition sensing", as long as the results can be customized with our pure intuition.

Pure mathematics (ibid.), in particular the geometry can be true if the objective related to sensing objects. The concepts of geometry not only produced by pure intuition, but also related to the concept of space in which geometry objects are represented. The concept of space (ibid.) is itself a form of intuition in which the ontological essence of representation can not be tracked.

Kant (Kant, I, 1783) gives a solution that mathematical concepts first obtained a priori from the experience of sensing-intuitive, but the concept obtained is not empirical, but rather pure. This process is the first step that must exist in mathematical reasoning, if not then there would be no math reasoning. The next process is the process synthetic in the intuitive sense "Verstand" which allows dikonstruksikannya mathematical concepts that are "synthetic" in space and time. Before taken decisions by intuition mind "Vernuft" first mathematical objects in the form of "Form" synthesized into "categories" as an innate ideas, namely "quantity", "quality", "relation" and "modalities". Thus, the intuition became the foundation for pure mathematics and mathematical truths that are "Apodiktik".


According to Kant (ibid.), the principles of geometry are apodiktik, which can be drawn deductively from the premises absolutely right. The statement "space only Dimension 3 "can not be understood only by empirical intuition. Kant (ibid.) have a strong argument that the propositions of geometry are synthetic a priori. According to him, if not so, ie if the propositions of geometry are only analytic geometry it has no objective validity, which means the geometry merely a fiction.