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Aristotelian views of (cardinal or counting) numbers begin with Aristotle's observation that the number of a heap or collection is relative to the unit or measure chosen: "'number' means a measured plurality and a plurality of measures ... the measure must always be some identical thing predicable of all the things it measures, e.g. if the things are horses, the measure is 'horse'."
This list compiles some of the most famous quotes by Aristotle and a few lesser-known ones, but equally as profound. Related: 75 Stoic Quotes from Philosophers of Stoicism About Life, Happiness ...
Actual infinity is now commonly accepted in mathematics under the name "infinite set". Indeed, set theory has been formalized as the Zermelo–Fraenkel set theory (ZF). One of the axioms of ZF is the axiom of infinity, that essentially says that the natural numbers form a set. All mathematics has been rewritten in terms of ZF.
Most of Aristotle's work is probably not in its original form, because it was most likely edited by students and later lecturers. The logical works of Aristotle were compiled into a set of six books called the Organon around 40 BC by Andronicus of Rhodes or others among his followers. [49] The books are: Categories; On Interpretation; Prior ...
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, his writings are divisible into two groups: the " exoteric " and the " esoteric ". [ 1 ]
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[clarification needed] More recently Paul Ernest has explicitly formulated a social constructivist philosophy of mathematics. [56] Some consider the work of Paul Erdős as a whole to have advanced this view (although he personally rejected it) because of his uniquely broad collaborations, which prompted others to see and study "mathematics as a ...
In the practice of every way of life and every kind of work, there is a state of mind called that of the deviant. ... Next: 50 Aristotle Quotes on Philosophy, Virtue and Education. Show comments ...