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Platonic Wholes and Quantum Ontology

Translated by Katarzyna Kretkowska

Series:

Marek Woszczek

The subject of the book is a reconsideration of the internalistic model of composition of the Platonic type, more radical than traditional, post-Aristotelian externalistic compositionism, and its application in the field of the ontology of quantum theory. At the centre of quantum ontology is nonseparability. Quantum wholes are atemporal wholes governed by internalistic logic and they are primitive, global physical entities, requiring an extreme relativization of the fundamental notions of mechanics. That ensures quantum theory to be fully consistent with the relativistic causal structure, without any spacelike nonlocality and time asymmetry, and makes the quantum blockworld ontology inevitable. It seems that the more internally relativized physics is, the more Platonic it becomes.
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Chapter 1: Megiste mousike: The Hidden logos of Nature and Platonic Wholes

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Chapter 1

Megiste mousike: The Hidden logos of Nature and Platonic Wholes

1.1 The relation of the whole and its parts in Plato’s ontology, the problem of the hidden structure and a new reading of the Parmenides

At the source of modern mathematical physics, inaugurated since the beginning of the 17th century by Galileo, Kepler, Huygens and Newton, and ever since undergoing a continuous development, we encounter a cognitive impulse of the metaphysical and mathematical research undertaken in Plato’s Academy and its environment in the 4th c. B.C. and in the still earlier Pythagorean studies. Historically speaking, the remark is not an exaggeration or a mere compliment to the archaic layers in the history of ideas, but it is a statement of a certain fact of historical importance when attempting to comprehend the genealogy of natural science in the tradition of Western culture. Though Plato himself, as can be inferred from the existing sources, rather did not conduct mathematical research, yet the range of his inspirations and his encouragement of such studies was so vast that we can call the 4th c. B.C. an age when Greek, ‘Platonic’ (i.e., ‘analytic’ and ‘dianoetic’) mathematics was in full bloom, with their peak achievement undoubtedly attained in the Stoicheīa by Euclid from Alexandria (4th/3rd c. B.C.) ([Lassere, 1964], [Maziarz, Greenwood, 1995, p. 75ff.], [Boyer, 1991, p. 86ff.]). The strength and range of that research inspiration in Greek science can hardly be overrated and...

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