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On the General Science of Mathematics is the third of four surviving works out of ten by Iamblichus (c. 245 CE-early 320s) on the Pythagoreans. He thought the Pythagoreans had treated mathematics as essential for drawing the human soul upwards to higher realms described by Plato, and downwards to understand the physical cosmos, the products of arts and crafts and the order required for an ethical life. His Pythagorean treatises use edited quotation to re-tell the history of philosophy, presenting Plato and Aristotle as passing on the ideas invented by Pythagoras and his early followers. Although his quotations tend to come instead from Plato and later Pythagoreanising Platonists, this re-interpretation had a huge impact on the Neoplatonist commentators in Athens. Iamblichus' cleverness, if not to the same extent his re-interpretation, was appreciated by the commentators in Alexandria.
Explores a range of questions about the basic structure of reality, the nature of prime matter, the principles of change, the relation between form and matter, and the issue of whether things can come into being out of nothing, and if so, in what sense that is true.
Concerning embryos, Porphyry takes an original view on issues that had been left undecided by his teacher Plotinus and earlier by the doctor Galen. What role is played in the development of the embryo by the souls or the natures of the father, of the mother, of the embryo, or of the whole world?
Philoponus was a brilliant Christian philosopher, steeped in Neoplatanism, who turned the pagans' ideas against them. Here he attacks the devout Athenian pagan philosopher, Proclus, defending the Christian view that the universe had a beginning against Proclus' arguments to the contrary.
Is there such a thing as three-dimensional space? Is space inert or dynamic? Is the division of time into past, present and future real? Does the whole of time exist all at once? Does it progress smoothly or by discontinuous leaps?Simplicius surveys ideas about place and time from the preceding thousand years of Greek Philosophy and reveals the extraordinary ingenuity of the late Neoplatonist theories, which he regards as marking a substantial advance on all previous ideas.
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