by: Marsigit
reviewed by: Ika Kusumawati (ika-kusumawati.blogspot.com)
Kant (Kant I, 1781) says that understanding and constructing mathematics is gotten from finding pure intuition, that consist of space and time intuition. Mathematics as a synthetic a priori can constructed in three parts, (sense intuition, thinking intuition and mind intuition). First, mathematics concept is gotten from experience with sense intuition then synthetic process in thinking intuition “verstand” which construct mathematics concept in space and time before getting a decision.
Intuition in arithmetic : If only rely on analytic method, we don’t get new concept. Kant (Wilder, R.L., 1952) relating arithmetic and time intuition as an inner intuition, so time intuition make number become real. Intuition in geometry: Kant says that geometry principle is apodictic. In other word we can conclude it deductively from absolutely truth premise. Intuition in mathematics decision: with mind intuition, our logic can make mathematics argumentation and relate it with mathematics decision.
All mathematics decision is synthetic and based on intuition. So the truth of mathematics is not logical truth or an analytical truth or other concepts but it’s a truth of intuition.
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