SPEECH BY MR MARSIGIT

Mathematic Based On Idea
Mathematic as an exact science has a foundation, this is called Foundation of Mathematic. There are two types, the first is permanent foundation and the other is moved or walks foundation.
1. Permanent Foundation
For example, in English the foundation of mathematic is geometry.
2. Moved Foundation
It’s not visible, but it is a foundation of mathematic. In this part, the foundation called epistemology. Epistemology is theory about knowledge which includes reality and veil of knowledge, imagination, foundations and responsibility above the knowledge we have. Are we having knowledge about our destiny in a real mean? This question becomes a beginning of the declaration which comes from Aristotle and Francis Bacon. Immanuel Kant is the mathematician who claims that foundation of mathematic is epistemology. Its build based on the deeply think, in here mathematic called as “synthetic apriority”. In fact this declaration takes from Law of Contrariety. In here the meaning of contrariety is in idea not in our heart so this can produce science.
They are many versions about mathematic:
1. System
2. Structure
3. Language
4. Body of knowledge
The are the other sciences which have connection with mathematic:
• Philosophy of mathematic
• Sociology and anthropological
• Universal history
They are 2 method of history, based on:
1. Idea, how far we can explain that idea.
2. Artifact

The raises of idea in history of mathematics Pythagoras Theorem. The important think of Pythagoras Theorem beside triple Pythagoras is the idea about irrational numbers.
Immanuel Kant is mathematician who has an idea that the foundation of mathematics is dynamic. But, there are we have Brower, he said that mathematics didn’t have foundation, this is intuition mathematics. Brower said and develops anti-foundation mathematics. But some other mathematicians try to develop mathematics with strong foundation or formal foundation. The example is Hilbert, he said that foundation of mathematic is logic. Gödel, Hilbert pupil’s, prove that what his teacher say, is wrong and fail.
Now, mathematics in modern life is multi faset, its mean mathematics not only have one foundation.
The truth of science from its history, divide become two parts :
1. Inside of our mind
Mathematician who claim that mathematics inside of our mind his mind. But there is different with mathematics which inside of mind but still moving. The way to get mathematics according Plato is out from Plato Cave.
2. Outside of our mind
Mathematician who claim that mathematics out side of our said that mathematics outside of our head or in the up of experience. And he also said that mathematics is human produce. Aristotle has pupil, his name David Hume. David Hume is mathematician who doubt about Cause and Consequent law. Contradiction between Plato and Aristotle still continue during 2 century. Finally, this problem finished by Immanuel Kant. His opinion, both of them is true and both of them are also wrong. He said mathematics have a “Synthetics Apiary” characteristic.
Mathematics develop with critical mathematics, there is:
1. Synthetics Apiary
2. Analytics Mathematics
3. Contradictions
4. Intuition
Science building by development that is Mathematics.