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PERAN INTUISI DALAM MATEMATIKA MENURUT IMMANUEL KANT

Diposting oleh Rakhmatika Wardhani / 20.20 /



Marsigit
Fakultas Matematika dan Ilmu Pengethuan Alam,
Universitas Negeri Yogyakarta

Kesimpulan oleh :
Rakhmatika Sri Wardhani/10305144046
http://rakhmatika-wardhani.blogspot.com

Kant's view of mathematics can contribute significantly in terms of the philosophy of mathematics, especially regarding the role of intuition and the construction of mathematical concepts. Some authors argue that Kant's philosophy of geometry to depart from the bridge to the philosophy of arithmetic and algebra philosophy. But if you listened further, the views of Kant's more based on the role of intuition for the concepts of mathematics and just rely on the concept of construction as was the case in Euclidean geometry. According to Kant (Kant, I., 1781) mathematics is a reason that is constructing the concepts are synthetic a priori in concepts of space and time. Intuition spatial and time in general, which in turn is considered the underlying mathematics. Kant (Kant, I., 1787) argues that the propositions of arithmetic should be synthetic in order to obtain new concepts. If only rely on the analytical method, then it will not be obtained for new concepts. In his Prolegomena, Kant describes the inference of geometry in everyday life that the left hand is not congruent with the right hand. According to Kant, the concept of "hands" here is not adequately understood only by empirical intuition, but in an empirical intuition is contained abstract concept of "hands" and the concept of "not congruent" synthetically derived. According to Kant, this process can be applied to understand the concepts of geometry. According to Kant, with the intuition of mind, we hold the ratio of the argument (mathematics) and combine the decisions (mathematics). 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 principle pure logic, d) involve the laws of mathematics are constructed by intuition, and e) state the truth value of a mathematical proposition.

di 20.20 |

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