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In the philosophy of mathematics, the abstraction of actual infinity, also called completed infinity, [1] involves infinite entities as given, actual and completed objects. The concept of actual infinity has been introduced in mathematics near the end of the 19th century by Georg Cantor , with his theory of infinite sets , later formalized into ...
In this usage, infinity is a mathematical concept, and infinite mathematical objects can be studied, manipulated, and used just like any other mathematical object. The mathematical concept of infinity refines and extends the old philosophical concept, in particular by introducing infinitely many different sizes of infinite sets.
In Book 3 of his work entitled Physics, Aristotle deals with the concept of infinity in terms of his notion of actuality and of potentiality. [ 8 ] [ 9 ] [ 10 ] It is always possible to think of a larger number: for the number of times a magnitude can be bisected is infinite.
Aristotle proposed a three-part structure for souls of plants, animals, and humans, making humans unique in having all three types of soul. Aristotle's psychology, given in his treatise On the Soul (peri psychēs), posits three kinds of soul ("psyches"): the vegetative soul, the sensitive soul, and the rational soul. Humans have all three.
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]
Temporal finitism is the doctrine that time is finite in the past. [clarification needed] The philosophy of Aristotle, expressed in such works as his Physics, held that although space was finite, with only void existing beyond the outermost sphere of the heavens, time was infinite.
The exact wording of these arguments has been lost, but descriptions of them survive through Aristotle in his Physics. [24] Aristotle identified four paradoxes of motion as the most important. [25] Each paradox has multiple names that it is known by. [26] The dichotomy, the racetrack, or the stadium [9] argues that no distance can be traveled ...
Aristotle invents the word by combining entelēs (ἐντελής, 'complete, full-grown') with echein (= hexis, to be a certain way by the continuing effort of holding on in that condition), while at the same time punning on endelecheia (ἐνδελέχεια, 'persistence') by inserting telos (τέλος, 'completion'). This is a three-ring ...