mathematics theory of Aristotle
Aristotle is one of the famous philosophists of ancient Greek. He had stated several mathematics theorems that influence the whole math world. Ancient Greek adapted the culture of Egypt and Babylonian. Till 4th century BC, the scientific research was classified in several different subjects. Aristotle involved in subjects like philosophy, politics, ethics, logic, mathematics, physics, astronomy and biology. He was the first taxonomist in the world.
There are three important definitions of mathematics given by Aristotle.
1. Mathematics is a theoretical science
2. A hypothesis asserts one part of a contradiction, like something is or is not.
3. A definition does not assert either part of a contradiction.
Also, Aristotle found out several propositions he favored from Euclid's elements as listed below.
1." In a given circle equal chords from angles with the circumference of the circle".(Prior Analytics i.24; not at all Euclidean in conception)
2. " The angles at the base of an isosceles triangle are equal" (Prior Analytics i.24; Eucl. i.5*).
3. "The angles about a point are two right angles (Metaphysics ix 9; Eucl. follows from i def. 10).
4. If two straight lines are parallel and a straight line intersects them, the interior angle is equal to the exterior angle (Prior Analytics ii.17; Eucl. i 29, cf. 28).
The rest of propositions are attached in references. As we can see, Aristotle defined the mathematics in his way. Some of his observation or proof are based on Euclid or Plato. Some of them are even totally wrong based on modern mathematics perspective. However, these changes in mathematical world might happen after his death.
References:
BaiKe. 2013.01.19. Introduction of Aristotle. Retrieved from: http://news.ifeng.com/mainland/special/2010lianghui/redianjiedu/gongpingzhengyi/201003/0317_9774_1579302.shtml
Henry Mendell. 2004.02.12. Aristotle and Greek Mathematics. Retrieved from:
https://plato.stanford.edu/entries/aristotle-mathematics/supplement4.html
There are three important definitions of mathematics given by Aristotle.
1. Mathematics is a theoretical science
2. A hypothesis asserts one part of a contradiction, like something is or is not.
3. A definition does not assert either part of a contradiction.
Also, Aristotle found out several propositions he favored from Euclid's elements as listed below.
1." In a given circle equal chords from angles with the circumference of the circle".(Prior Analytics i.24; not at all Euclidean in conception)
2. " The angles at the base of an isosceles triangle are equal" (Prior Analytics i.24; Eucl. i.5*).
3. "The angles about a point are two right angles (Metaphysics ix 9; Eucl. follows from i def. 10).
4. If two straight lines are parallel and a straight line intersects them, the interior angle is equal to the exterior angle (Prior Analytics ii.17; Eucl. i 29, cf. 28).
The rest of propositions are attached in references. As we can see, Aristotle defined the mathematics in his way. Some of his observation or proof are based on Euclid or Plato. Some of them are even totally wrong based on modern mathematics perspective. However, these changes in mathematical world might happen after his death.
References:
BaiKe. 2013.01.19. Introduction of Aristotle. Retrieved from: http://news.ifeng.com/mainland/special/2010lianghui/redianjiedu/gongpingzhengyi/201003/0317_9774_1579302.shtml
Henry Mendell. 2004.02.12. Aristotle and Greek Mathematics. Retrieved from:
https://plato.stanford.edu/entries/aristotle-mathematics/supplement4.html
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