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In the beginning was the apeiron : infinity in Greek philosophy

Author: Adam Drozdek
Publisher: Stuttgart : Steiner, 2008.
Series: Palingenesia, Bd. 94.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"The book is a historical investigation of the problem of infinity in Greek ontology and physics - more specifically, the problem of the infinite size of the world and of its eternal existence, the problem of the infinity of worlds, of infinite divisibility of matter, of infinity of attributes or attribute modes (e.g., infinity of atom shapes), and the problem of infinity of nonphysical entities such as mathematical  Read more...
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Additional Physical Format: Online version:
Drozdek, Adam.
In the beginning was the apeiron.
Stuttgart : Steiner, 2008
(OCoLC)607828887
Online version:
Drozdek, Adam.
In the beginning was the apeiron.
Stuttgart : Steiner, 2008
(OCoLC)609105721
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Adam Drozdek
ISBN: 9783515092586 3515092587
OCLC Number: 264693700
Description: 173 pages : illustrations ; 25 cm.
Contents: Anaximander. Apeiron ; Infinity of worlds ; Origin ; Naming the arche ; Anaximenes --
The Pythagoreans. Harmonious universe ; Limiters and unlimiteds ; Numbers --
Xenophanes. Infinite world ; Infinite god --
Heraclitus. Eternity --
Parmenides and Melissus. Unlimited and infinite ; Sphere ; Philosophical environment ; Incorporeality of being --
Zeno's paradoxes. The dichotomy ; The achilles ; The flying arrow ; The stadium ; Plurality ; Infinity --
Empedocles. Eternal cycles ; The sphere --
Anaxagoras. Physics ; The everything in everything principle ; The infinitely large --
The atomists. Atoms and the void ; Infinity of worlds ; Infinite divisibility --
Plato. Finite world ; Numbers ; Infinity in the Philebus ; The Philebus and the Timaeus ; Time and eternity ; Knowing the infinite --
Aristotle. Defining infinity ; Aristotle's razor ; Infinity by addition ; Continuum ; Causality ; Eternity ; The infinite and the finite --
The Old Academy. The unwritten doctrines ; Speusippus ; Xenocrates --
The early Lyceum. Theophrastus ; Eudemus ; Strato --
Epicurus. Atoms and the void ; Infinite worlds ; Knowledge of the infinite --
The early Stoa. The void ; Time ; Continuum ; Lekta ; The finite and the infinite --
Infinity in Greek mathematics. Nonnegative integers ; Incommensurability ; Quadrature of the circle ; Euclid and Archimedes.
Series Title: Palingenesia, Bd. 94.
Responsibility: Adam Drozdek.
More information:

Abstract:

"The book is a historical investigation of the problem of infinity in Greek ontology and physics - more specifically, the problem of the infinite size of the world and of its eternal existence, the problem of the infinity of worlds, of infinite divisibility of matter, of infinity of attributes or attribute modes (e.g., infinity of atom shapes), and the problem of infinity of nonphysical entities such as mathematical constructs." "The view espoused here is that infinity was of paramount importance for Greek philosophers even if it was not explicitly discussed by them. It served as an unspoken assumption without which Greek philosophy could hardly be possible."--Jacket.

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