The foundation of mathematics

The foundation of mathematics have two characteristics, that are constant and temporary.
1.The constant foundation, example: Geometry.
2.The temporary foundation, example: Epistimology foundation. Science that study the sources of knowledge.
Mathematics developed with contradiction and intuition.
It is about critical thinking. Synthetic a priory : we can think it although we never see it.
Mathematics is intuition. The figure is Brower. He is not taking any reason. Intuition is a place or framework: space and time. It means that our mind about mathematics stay in space and time.

The versions of mathematics are
1)Mathematics as system
2)Mathematics as structure
3)Mathematics as language
4)Mathematics as body of knowledge

Mathematics figure:
1.Plato, an idealist one. He said that mathematics is on our brain. Mathematics is given by God. Plato and Aristoteles were in contrary.
2.Aristoteles. He said that mathematics is in our experiences.
3.Descartes
-Universal method. Elementary problem of knowledge philosophy is why we earn to make by mistakes.
-Inductive method. This method come from result of perception and research until universal method.
-Deductive method.This method is compare between theory and purpose.

Reference:
Mr. Marsigit’s speech
www.wikipedia.com