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AC/AB analogy Ancient Medicine argument Aristotle astronomic atomists atoms attempt body central fire cold connection cosmic cosmological cosmos counter-earth definition Democritus diet discovery distinction division doctrine of measure earth Eleatic equal Ethics excess and defect existence explained fact fifth century foundation founded fragments genuine opinion geometric similarity gnomon greatest common divisor harmony heavenly motions human arts hypothesis identity incommensurable lengths infinite infinite divisibility kinds of measure knowledge Leucippus limiting mathematical theory matical mean medical art Melissus ment method mutual annihilation myth nature Oenopides opposites orbit original passage Phaedo Philebus philo Philolaus philosophical physician Plato political art practical arts precision Protagoras Pythagorean Pythagorean doctrine rational approximation ratios reason reciprocity reconstruction Regimen rejection role scientific semitone Simmias Socrates sophistic soul statesman sublunar tetractys theory of justice theory of proportions things thought tion treatise On Ancient unit of measure unlimited elements