Speech by Mr. Marsigit

In here, I want to retell what Mr. Marsigit says. Some weeks ago, he tells us about history of mathematics.
History leaving two things:
•Artifacts : something that have form
•Ideas : something that come from mind
There are three streams to explain history:
•Real
•Ideal
•Contemporary
There are some problems to study history:
•The old document
Solution: with internet, we can get new document, which contains the old document.
•Translation
oContext ( geographical, time, society and culture)
oMethodologies
oBearing with other science
There are some manners to study mathematics:
•Empiric: observation, draw a conclusion with induction
Example: Pythagoras develops a theory, then we calls theorem of Pythagoras. The function is c2 = a2 + b2 , then emerge problem, which call irrational number.
•Deduction: this manner develop by Euclid’s, he created book calls “the elements” consist of 13 books containing what referred as definition, postulate or axiom or theorem. Euclid also called as father of mathematics axiom.
Infinite regress is meaning rotation which is no ending.
Aristotle: an elementary assumption preceding a definition. An elementary assumption is a foundation of mathematics.
There are two worlds in mathematics:
•Believe that mathematics have a reason
•Disbelieve that mathematics have a reason
Immanuel Kant said that mathematics must have dynamic foundation. He said that mathematics has foundation calls epistemology but in fact, epistemology is knowledge has not any foundation. Epistemology is a science studying sources of knowledge.
Hill Bert develops a formal mathematics with the logical foundation. Mathematics developed becomes a system having characters deductive and formal.
Hill Bert has a student named Kurt Gödel, he proving complete and incomplete axiom. If mathematics desired consistence, it can be incomplete and if mathematics desired complete, it can be inconsistence.
Plato is an idealist; he said that mathematics stay in kept quiet mind. A way so that we can think is exit from Plato Cave (darkness). Mathematics is given by God.
Aristotle said that mathematics based experience so it is stays out of mind. Mathematics is created by human.
Immanuel Kant: mathematics built with critical mathematics.
Mathematics having character synthetic a priori: we can think it although we never see it.
Synthetic  mathematics as mathematics, experience and ideas.
The opposite of a priori is a posteriori: we see it and then we think it. The law of synthetics is contradiction, in ideas can result a science.
The opposite of synthetics is analytics. The law of analytics is identity.
The constant mathematics foundation is geometry.
The old of mathematics foundation is set.
Mathematics based on intuition.
Common people  intuition is a feeling
Intuition is a place of the nesting fact of mathematics.
Brower is an intuition figure; he is not taking any reason. Intuition is a place or framework: space and time. It means that my mind about mathematics stay in space and time.
The absolute mathematics: mathematics is always true.
The language mathematics: the wrong mathematics is still mathematics.
Many versions about mathematics:
•System
•Structure
•Language
•Body of knowledge