From Geometry to Culture: How the Theorems of Pappus and Desargues May Change Your Thinking

  Рет қаралды 2,330

Donald Kunze

Donald Kunze

Жыл бұрын

I’d like to be able to claim that this will be the first day of the rest of your life, but I would be projecting from my own experience of discovering what projection is for the psyche. Instead of saying, with Freud, that Psyche is extended, I began to say that Psyche actually is the extension itself. This has been a big turning point, for me at least. Before I thought of projective geometry as a necessary fiction required to describe the weird way the unconscious was wired to our everyday thoughts and behaviors. More and more, I came to realize that psyche is the logic and substance of this extension of soul into the world, and that it is in tune with, and even sets the pace for, the varied pulses of culture and change. The move from thinking of the 2-d topology of projection as an add-on to a standard and familiar Euclidean template, I’ve come to realize that what is mathematically true for geometry is also true for the human subject, that projectivity is primary and primal, and that the psyche, by projecting, produces what it projects into. The first fruits of this movement are anamorphic and uncanny. T o show how this could happen, I’d like to start with the first theorems of projective geometry, discovered by Pappus of Alexandria 300 a.d. and then also the twist that the French architect Girard Desarges gave Pappus’s theorem in 1648. It took almost a hundred and fifty years for projectivity to catch on, and it flourished for the whole of the 19th century before being absorbed into quantum physics, but it’s legacy in psychoanalysis and other human sciences has yet to be realized. Perhaps you can help.

Пікірлер: 8
@topologielacanienne
@topologielacanienne Жыл бұрын
Theoretically groundbreaking. Dr. Kunze-thank you once again.
@boundarylanguage
@boundarylanguage Жыл бұрын
You are kind … maybe there is something original in the idea of the perfect shadow. I'd appreciate your thoughts.
@jaybro321
@jaybro321 11 күн бұрын
This is the best kind of applied mathematics
@Anabsurdsuggestion
@Anabsurdsuggestion Жыл бұрын
Brilliant video.
@AdarshKumar-fr8xg
@AdarshKumar-fr8xg Жыл бұрын
Sir, I have been reading projective geometry along with kashmir shaivism, bergson and merleau ponty. I want to know more about this discipline. How can I contact you?
@boundarylanguage
@boundarylanguage 8 ай бұрын
Hi, I have an email, kunze767@gmail.com, and a website, boundarylanguage.psu.edu; I have a busy fall however, so I hope I have time to get back to you.
@jameson9334
@jameson9334 Жыл бұрын
𝓅𝓇𝑜𝓂𝑜𝓈𝓂
@zzasdfwas
@zzasdfwas 28 күн бұрын
wtf is this? I was expecting math but got a bunch of rambling mysticism.
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