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Meaning of Numbers between Plato and Aristotle
 Šíma, Antonín ; Špinka, Štěpán (advisor) ; Karfík, Filip (referee) ; Hladký, Vojtěch (referee)
1 Abstract Meaning of numbers between Plato and Aristotle Antonín Šíma The dissertation titled "The Transformation of the Concept of Number between Plato and the Early Academy" deals with the problem of numbers in early Platonism between Aristotle and Plato. In Plato's dialogues, within professional mathematical disciplines of knowledge, numbers fulfil a function of propaedeutic procedure to the method of thinking − dialectic. Dialectic engages in the most general structures of thinking whose centre is the problem of being and good, which is only mentioned marginally in our thesis. The philosophy of dialogues is based on the ontological and epistemological dignity of unchanging and eternally existing ideas. In Metaphysics A Aristotle describes Plato's and the Platonic doctrines of the early Academy in whose centre there are principles expressed by numbers: one and indefinite two, which are assessed according to Aristotelian principles doctrine as form and matter. Aristotle mentions Platonic dialectical method which focuses on researching the general in speech. This method distinguishes Platonic thought from Pythagorean philosophy in Aristotle's precursors' philosophy overview. In the criticized doctrine, numbers have the same meaning as ideas or ideal numbers standing on the scale of ontological dignity...
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