Tuesday, 13 January 2009

Discovery of Mathematics

Mathematics, do you know that mathematics is knowledge with many history? Mathematics expanded from B.C period until today and in the future. So, it is possible to found change in there.
Many example about mathematics from long time ago, but that is still used and certained until now. For example we often hear Pythagoras theorem. Pythagoras prove this in B.C period, but this theorem still used until now. Then, from philosopher Aristoteles about silogism that is used in logic until now. Or you want discuss about irrational number discoverer, Hippasus. He prove irrational number with reduction ad absurdum, once again we considered science from B.C period and used in logic now. Euclides Geometry, this book wrote by Euclides, mathematician from Greece ( 300 B.C ). Euclides Geometry also still used. If you will discussed about algebra, don’t forget Al-Khawarizmi, he has been considered Mr. Modern Algebra, although he is mathematician in 750. In trigonometry, formula: Sin (a + b) = Sin a Cos b + Sin b Cos a has been founded by Abul Wafa ( 1020 )and we still used until now. I think many mathematics from long time ago and still used until now.
But, some discovery didn’t exist until now. For example, π which use in circle. In Old Egypt is 3,16. But now, that isn’t used, because we use π = 3,14 ( 22/7 ). But, we must gave appreciate for their. Because, they gave inspiration for us in discover new.
Now, many new discovery about mathematics. And until this day, I have never find discovery from which not connected with discovery from longtime ago.
I think, maybe all discovery from new period connected with discovery from long time ago. Because I think new discovery has characteristic expend previously discovery, although that is can right or wrong. So, although discovery from long time ago is wrong, we must try to change it to be rightness.
From this article, I can conclude that all mathematics discovery very useful for us. We must study hard in order we useful for the future.

Foundation of Mathematics

Mathematics is foundation for many knowledge. But, Mathematics has foundation too. Many opinion about Foundation of Mathematics, such as from Immanuel Kant. There, I Want to tell my opinion about Immanuel Kant’s idea.
Kant said that beginning from mathematics is “Awareness Concerning mathematics meaning” . I agree with his idea. Mathematics is abstract science, its can appear in our mind. If we want to think about mathematics, so our sense shall think mathematics object with reasonable.
If we don’t think that, so mathematics can’t appear. Mathematics didn’t come from anywhere, except from our sense. So, I think Foundation of Mathematics
is our sense.
We must think about mathematics, because that is foundation for us to study mathematics.