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Hendra Gunawan @hgunawan82
1. So guys, I'd like to share about ancient Greeks mathematics, which I found amazing -- #GreekMath
Hendra Gunawan @hgunawan82
2. Ancient Egyptians and Babylonians (or Mesopotamians) may learn math earlier, but the Greeks developed math systematically. #GreekMath
Hendra Gunawan @hgunawan82
3. Thales of Miletus, ~600 BC, is the first Greek mathematician and philosopher, who believed that "All is water." #GreekMath
Hendra Gunawan @hgunawan82
4. One of his math theorem says that any angle in semicircle is right. A theorem in math is of course proved to be true. #GreekMath
Hendra Gunawan @hgunawan82
5. Thales predicted the solar eclipse that occured over Greece and Mesopotamia on May 28, 585 SM. Isn't he amazing? #GreekMath
Hendra Gunawan @hgunawan82
6. Anaximander (610-540 BC) was a follower and compatriot of Thales. He developed the notion of infinity. #GreekMath
Hendra Gunawan @hgunawan82
7. According to Anaximander, the universe contains infinitely many worlds. In math, the set of natural numbers is infinite. #GreekMath
Hendra Gunawan @hgunawan82
8. Pythagoras of Samos (570-500 BC) founded the brotherhood of the Pythagoreans at Croton, southern Italy, in ~525 SM. #GreekMath
Hendra Gunawan @hgunawan82
9. According to Pythagoras, "All is numbers". By numbers he means at that time "rational numbers", i.e. ratios of two + integers. #GreekMath
Hendra Gunawan @hgunawan82
10. Pythagoras is of course famous for his theorem on right triangles. But not many know that Pythagoras also proved the inverse. #GreekMath
Hendra Gunawan @hgunawan82
11. Theano, Pythagoras' wife, also a mathematician. She might be the first woman mathematician! #GreekMath
Hendra Gunawan @hgunawan82
12. Parmenides of Elea (Italy) ~480 BC, was a monist: the universe consists of only ONE object, in contrast with Anaximander. #GreekMath
Hendra Gunawan @hgunawan82
13. In 479 BC, the Greeks drove off the Persians, and Athens emerged as a great centre of civilisation. #GreekMath
Hendra Gunawan @hgunawan82
14. Hippasus ~470 BC, was a Pythagorean. He found dodecahedron in addition to 4 regular polyhedra known earlier by Pythagoras. #GreekMath
Hendra Gunawan @hgunawan82
15. But Hipassus didn't attribute his finding to the Master (Pythagoras), so he was expelled from the brotherhood. Ouch! #GreekMath
Hendra Gunawan @hgunawan82
16. Hipassus also leaked the irrationality of root 2, which was found later by the Pythagoreans, violating "All is numbers." #GreekMath
Hendra Gunawan @hgunawan82
17. So, according to a story, Hipassus was drowned to death! What a brotherhood! #GreekMath
Hendra Gunawan @hgunawan82
18. Zeno 450 BC, a disciple of Parmenides, is known for Zeno's paradox (Achilles & a tortoise are racing). He rejected infinity. #GreekMath
Hendra Gunawan @hgunawan82
19. Hippias of Elis 425 BC, resolved a dispute between Protagoras and Socrates. #GreekMath
Hendra Gunawan @hgunawan82
20. Hippias discovered the quadratix for trisecting an arbitrary angle. #GreekMath
Hendra Gunawan @hgunawan82
21. Antiphon 425 BC asserted the equality of all human being. He might be the first humanist, I am not sure. #GreekMath
Hendra Gunawan @hgunawan82
22. Antiphon suggested that the area of a circle be calculated in terms of regular polygons inscribed in it. Remember Pi Day! #GreekMath
Hendra Gunawan @hgunawan82
23. Hippocrates of Chios 425 BC, computed the area of a region bound by curves (such as lunes). #GreekMath
Hendra Gunawan @hgunawan82
24. Socrates 469-399 BC was not a mathematician, but he was not math illiterate. He knew how to "double the square". #GreekMath
Hendra Gunawan @hgunawan82
25. Democritus of Abdera ~420 BC is known for his statement that everything is made up of tiny indestructible atoms. #GreekMath
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