What is aristotlee contributions to mathematics?

Answer 1

Aristotle was born in 384 B.C. in Stagirus Greece. At about the age of eighteen, he moved to Athens to continue his education at Plato's Academy. He studied as a student of Plato, and later became a Greek philosopher and a teacher of Alexander the Great. Aristotle studied many fields such as physics and math but he was not a thoroughgoing mathematical Platonist. He apparently viewed mathematical truths as hypothetical necessary truths, a position effectively adopted in this century by Russell.In 335 B.C., Aristotle opened his own institute and spent the next twelve years running his own version of an academy, which was called the Lyceum. Aristotle wrote extensively on all subjects: metaphysics, logic, science, and mathematics. At this time, Aristotle had 3 significant findings: "The whole is more than the sum of its parts.", "Heavier things fall faster; the speed being proportional to the weight." and of course "Aristotle's Laws of Motion".Aristotle was the first to think quantitatively about the speeds involved in movements. He made two quantitative assertions about how things fall (natural motion): The speed of fall of a given object depends inversely on the density of the medium it is falling through. So, for example, the same body will fall twice as fast through a medium of half the density.Aristotle's biggest contribution to the field of mathematics however was his development of the study of logic, which Aristotle termed "analytics", as the basis for mathematical study. Aristotle wrote extensively on this concept in his work Prior Analytics, which was published from Lyceum lecture notes several hundred of years after his death. With the Prior Analytics, Aristotle is credited with the earliest study of formal logic, and his conception of it was the dominant form of Western logic until the 19th century advances in mathematical logic.- Prior Analytics states that: syllogism is "a discourse in which, certain things having been supposed, something different from the things supposed results of necessity because these things are so."