Pappus of Alexandria Book 7 of the Collection

Parmenides

Parmenides of Elea, active in the earlier part of the 5th c. BCE,authored a difficult metaphysical poem that has earned him areputation as early Greek philosophy’s most profound andchallenging thinker. His philosophical stance has typically beenunderstood as at once extremely paradoxical and yet crucial for thebroader development of Greek natural philosophy and metaphysics. Hehas been seen as a metaphysical monist (of one stripe or another) whoso challenged the naïve cosmological theories of his predecessorsthat his major successors among the Presocratics were all driven todevelop more sophisticated physical theories in response to hisarguments. The difficulties involved in the interpretation of his poemhave resulted in disagreement about many fundamental questionsconcerning his philosophical views, such as: whether he actually was amonist and, if so, what kind of monist he was; whether his systemreflects a critical attitude toward earlier thinkers such as theMilesians, Pythagoreans, and Heraclitus, or whether he was motivatedsimply by more strictly logical concerns, such as the paradox ofnegative existentials that Bertrand Russell detected at the heart ofhis thought; whether he considered the world of our everydayawareness, with its vast population of entities changing and affectingone another in all manner of ways, to be simply an illusion, and thuswhether the lengthy cosmological portion of his poem represented agenuine attempt to understand this world at all. This entry aims toprovide an overview of Parmenides’ work and of some of the majorinterpretive approaches advanced over the past few decades. Itconcludes by suggesting that understanding his thought and his placein the development of early Greek philosophy requires taking dueaccount of the fundamental modal distinctions that he was the first toarticulate and explore with any precision.

The Edge of Mathematics - The Atlantic

archived 18 Mar 2026 15:24:41 UTC

We need more tiny knowledge projects—here’s one

Crowdsourcing dynamic illustrations for a new astronomy book by Terry Tao and Tanya Klowden. The other day I was reading the sample chapter of a new book by Terence Tao and Tanya Klowden, on the so-called cosmic distance ladder. It’s a lovely piece of writing. The chapter tells the story of how Johannes Kepler, using data collected by Tycho Brahe, solved the puzzle of planetary motion. It puts us in the discoverers’ shoes: instead of working backwards from Kepler’s equations, we work forwards from the inexp

Terence Tao – Kepler, Newton, and the true nature of mathematical discovery

“And what those stories teach us about how AI will revolutionize math”

Notes for a Theory | Alberto Garutti

Category Theory Illustrated - index

What does a debate between two ancient Greek philosophers have to do with the code running your computer? How can a simple map reveal the deepest secrets of the universe’s structure?

The borrowed mind

Notes from John Nosta's book

Practical Common Lisp

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