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Aristotle, alive for the period 384–322 BCE, is credited with being the root of a field of thought, in his influence of succeeding thinking for a period spanning more than one subsequent millennium, by his rejection of the idea of actual infinity. [7] In Book 3 of his work entitled Physics, Aristotle deals with the concept of infinity in ...
Aristotle postulated that an actual infinity was impossible, because if it were possible, then something would have attained infinite magnitude, and would be "bigger than the heavens." However, he said, mathematics relating to infinity was not deprived of its applicability by this impossibility, because mathematicians did not need the infinite ...
The works of Aristotle, sometimes referred to by modern scholars with the Latin phrase Corpus Aristotelicum, is the collection of Aristotle's works that have survived from antiquity. According to a distinction that originates with Aristotle himself, [citation needed] his writings are divisible into two groups: the "exoteric" and the "esoteric". [1]
Sachs (1995, pp. 78–79), in his commentary of Aristotle's Physics Book III gives the following results from his understanding of Aristotle's definition of motion: The genus of which motion is a species is being-at-work-staying-itself ( entelecheia ), of which the only other species is thinghood.
Aristotle [A] (Attic Greek: Ἀριστοτέλης, romanized: Aristotélēs; [B] 384–322 BC) was an Ancient Greek philosopher and polymath.His writings cover a broad range of subjects spanning the natural sciences, philosophy, linguistics, economics, politics, psychology, and the arts.
50 Aristotle Quotes on Philosophy, Virtue and Education. Morgan Bailee Boggess. April 6, 2024 at 8:25 AM. Ancient Greek philosopher Aristotle statue.
Initially, Aristotle's interpretation, suggesting a potential rather than actual infinity, was widely accepted. [1] However, modern solutions leveraging the mathematical framework of calculus have provided a different perspective, highlighting Zeno's significant early insight into the complexities of infinity and continuous motion. [1]
But since Aristotle holds that such treatments of infinity are impossible and ridiculous, the world cannot have existed for infinite time. [9] Philoponus's works were adopted by many; his first argument against an infinite past being the "argument from the impossibility of the existence of an actual infinite", which states: [10]