#MosGeometricus

2025-11-08

In AS Robert Rosen wrote about non-Euclidean geometry. I'm reading about Pseudospheres now...

19th century mathematicians still have a word to say about rationality, mos geometricus and the limits of objectivity and logic.

#math #mosgeometricus

An Enneper Surface.
2025-06-15

The below paper by Hanegraaff provides very interesting insights into the advent or #Esotericism in the #renaissance.

In my opinion, the expressed trust in the distance of #Enlightenment to #Helenism is difficult to justify, given the widespread belief in #MosGeometricus, and superior wisdom of #geometers in antiquity.

#magic #Platonism #Paganism

Hanegraaff, Wouter J. "The pagan who came from the East: George Gemistos Plethon and Platonic orientalism." Hermes in the Academy (2009): 33.

Text of screenshot from "Hanegraaff, Wouter J. "The pagan who came from the East: George Gemistos Plethon and Platonic orientalism." Hermes in the Academy (2009): 33."

"Besides the idealized picture of the wise philosopher and herald of ancient truth, then, we have its counterpart: the sinister picture of the pagan subversive, a kind of secret agent of demonic forces hiding behind a mask of benevolence.  Applied to a wide range of personalities, the history of Western esotericism is replete with endless variations on both images, and they contribute in no small measure to how the field is often perceived in the popular imagination: from the positive notion of “inner traditions” and venerable teachers of ageless spiritual wisdom that might heal the alienation of the modern world, to its negative counterpart of “occult forces of darkness” and its sinister representatives, who try to draw their victims towards the abyss of insanity and immorality. The academic imagination is not immune to either of these two, but tends towards a third perspective inherited from the Enlightenment, which perceives the field and its representatives as neither good nor evil, but simply questions their seriousness. From such a point of view, a figure like Gemistos Plethon would appear as neither wise nor demonic, but merely deluded or confused: a bearded old man with strange ideas, engaged in futile attempts to restore ancient superstitions."
2024-12-19

@rmathematicus I'm now reading the English Wikipedia article on De Revolutionibus getting aware of the role of Astrology from Pythagoras through the Renaissance to modern times.

I hold that it still lives on as "Geometricism" (my word, you may also use "Idealism" which is related through "mos greometricus") and Reductionism in Physics, even though Gödel should have made it obsolete.
#Math #physics #astrology #mosgeometricus

Screenshot from https://en.wikipedia.org/wiki/De_revolutionibus_orbium_coelestium
"Osiander's interest in astronomy was theological, hoping for "improving the chronology of historical events and thus providing more accurate apocalyptic interpretations of the Bible... [he shared in] the general awareness that the calendar was not in agreement with astronomical movement and therefore, needed to be corrected by devising better models on which to base calculations." In an era before the telescope, Osiander (like most of the era's mathematical astronomers) attempted to bridge the "fundamental incompatibility between Ptolemaic astronomy and Aristotlian physics, and the need to preserve both", by taking an 'instrumentalist' position. Only the handful of "Philosophical purists like the Averroists... demanded physical consistency and thus sought for realist models."[9]"
2022-12-19

@wildmandrake @philosophy @PhilosophicalPsychology #MosGeometricus gave rise to rationality in continental philosophy - through Enlightenment and the French Revolution it also influenced the US constitution. From the late 18th century phenomenology got dominant, which, as I see it, in 20th century French philosophy, got folded with rational traditions of epistemology in so mant ways that I perceive much of it as "contemporary politico-philosophical literature".

2022-11-16

@thom with respect to the history of #pragmatist #philosophy the connection between #Spinoza and #Tschirnhaus is interesting: lenses and mirrors. From the latter, through #Leibnitz and #Wolff, a path leads to #Kant. #MosGeometricus still divides our world of thought. #HansWernerArndt

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