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While actuality is linked by Aristotle to his concept of a formal cause, potentiality (or potency) on the other hand, is linked by Aristotle to his concepts of hylomorphic matter and material cause. Aristotle wrote for example that "matter exists potentially, because it may attain to the form; but when it exists actually, it is then in the form."
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'."
For Aristotle, both matter and form belong to the individual thing (hylomorphism). Aristotle's theory of universals is Aristotle's classical solution to the problem of universals, sometimes known as the hylomorphic theory of immanent realism. universals are the characteristics or qualities that ordinary objects or things have in common.
The beginning of Aristotle's Metaphysics, one of the foundational texts of the discipline Metaphysics is the branch of philosophy that examines the basic structure of reality . It is traditionally seen as the study of mind-independent features of the world, but some theorists view it as an inquiry into the conceptual framework of human ...
Plato is depicted pointing upwards, in reference to his belief in the higher Forms, while Aristotle disagrees and gestures downwards to the here-and-now, in reference to his belief in empiricism. The topic of Aristotle's criticism of Plato's Theory of Forms is a large one and continues to expand. Rather than quote Plato, Aristotle often summarized.
Reality: The question is whether mathematics is a pure product of human mind or whether it has some reality by itself. Logic and rigor; Relationship with physical reality; Relationship with science; Relationship with applications; Mathematical truth; Nature as human activity (science, art, game, or all together)
Philosophical realism—usually not treated as a position of its own but as a stance towards other subject matters—is the view that a certain kind of thing (ranging widely from abstract objects like numbers to moral statements to the physical world itself) has mind-independent existence, i.e. that it exists even in the absence of any mind perceiving it or that its existence is not just a ...
Hylomorphism is a philosophical doctrine developed by the Ancient Greek philosopher Aristotle, which conceives every physical entity or being as a compound of matter (potency) and immaterial form (act), with the generic form as immanently real within the individual. [1]