Theory of Curves Differential Geometry Reading Stream Review | Philosophy | Episode 9
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- čas přidán 2. 06. 2024
- Welcome back 500 subscribers 🥳 Thanks everyone for liking my vids on the way in and really helping to push my content out there!
Today's video is a review of the material in Chapter 2 from the Differential Geometry Book I've been reading in the past episodes, namely the Theory of Curves.
The Kreyszig Differential Geometry book I've been reading in these videos: amzn.to/3U6OnbH
The Kühnel book I've recently compared the Kreyszig book to: amzn.to/3Js7sQP
MIT OCW 18.950 Differential Geometry: ocw.mit.edu/courses/18-950-di...
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TIMESTAMPS
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0:00 Solon is reprimanded by an old Egyptian priest
0:30 Introduction
3:55 School of Athens interpretation (Philosophy a la Socrates, Plato, and Aristotle)
6:29 Socrates
9:19 Heidegger and Nietzsche are reactions to Descartes and Plato
13:00 Philosophical Idealism from Plato to Hegel
19:00 George Wilhlelm Friedrich Hegel (Aufhebung)
21:13 Hegel's Bagels
21:56 The 3 key moments of Western Philosophy according to Slavoj Zizek
22:23 Jolly Jacques Lacan the radical Neo-Freudian psychoanalyst
32:20 Aristotle
37:42 Plato & Timaeus background
39:55 The setting of Timaeus
40:33 Timaeus proves he is the O.G. of Math/Philosophy/Physics stream of consciousness rants lmfao
43:43 Context for the Critias/Solon/Egyptian priest quote at the beginning
45:48 Reading from Critias' prologue about Solon in Timaeus
47:10 End of philosophical rant; reading a quote with "osculation" from Gravity's Rainbow by Thomas Pynchon
48:41 Reading a comment from a viewer like you!
50:26 Skimming a Theoretical Physics book
55:11 Skimming Wald's General Relativity (pretending to be a physicist lol)
59:59 Comparing the Kreyszig and Kühnel Differential Geometry Books
1:00:13 Editing snafu
1:01:04 Back at it again
1:05:28 Trash-talking about the classical Gram-Schmidt procedure. QR gang 😤 Rant about numerical stability of algorithms
1:09:59 Back to the Kühnel notes
1:15:40 Skimming the MIT OCW 18.950 Differential Geometry, Theory of Curves Lecture Notes (Lectures 1-10)
1:19:19 ASMR Sea Salt & Almond Dark Chocolate + Honey break
1:19:52 MIT OCW 18.950 Homework 1, Problem 2 partial answer
1:23:44 MIT OCW 18.950 Homework 2, Problem 2 (MATLAB exercise!!!) partial answer
Thanks be to the CZcams algo for showing me this video, I love it! Haven’t gotten to watch the whole thing yet just jumping around the chapters.
Awesome, thanks so much!! I encourage everyone to use the time stamps to watch parts they like! Cheers 👍
47:14 Pynchon's mention of "nodes," "cusps," "points of osculation," and "singularities" transports us into a "worldline" within the four-dimensional Minkowski spacetime of literature. 😉🚀
Reading Rainbow 🎅🏿📚
In previous videos, you brought up the question of Mathematics as being discovered or created; well, here is my take. Even within the framework of Mathematical Platonism (which I myself adhere to), the process of Mathematics involves a combination of both discovery and invention. The remarkable aspect of Mathematics is that invented concepts, definitions, and techniques (such as complex numbers, matrices, and the Dirac delta function) often reveal deep connections to pre-existing mathematical structures and truths, which can be considered discoveries within the Platonic realm.
Good idea, I’m gonna bring up more examples from analysis about this
22:10 It is interesting that, while Descartes and Hegel remain influential, Zizek may see Plato's enduring relevance. Moreover, Zizek selects Kant as a critique of Cartesian dualism. Even by choosing Lacan instead of Hegel, Zizek makes it clear that Hegel's philosophy is still influential, focusing on Lacan due to his interest in psychoanalysis and as a more direct precursor to his own philosophical project.
Zizek aims to offer an interpretation of the history of (Western) Philosophy that emphasizes the role of ideology, subjectivity, and language, right?
Thanks for bringing this up, this is good to get into. I think Zizek invokes Lacan to respond to deconstructionism/“Post-Modernism” (PM) e.g., Strauss, that emphasizes the fracturing and de-centering of truth. Lacan inverts PM through concepts such as the barred subject $. The central object in the pursuit of the transcendental is the gap of essence or inner split within that is the core truth of the subjective individual. This is reminiscent of Hegelian speculative idealism and I think this is what is Zizek’s “return to Hegel from Lacan”. This return to Hegel is not undertaken as Hegel was in his own era, however, since the meaning of what Hegel was in his own era has now taken on a new context that radically alters its meaning from what it was in his own era. This is all just my interpretation though lol I could definitely read more theory!
21:56 Philosophy is the search for the *unity of knowledge* in the *unity of consciousness* and vice versa. This definition applies even to philosophies that deny knowledge or the unity of consciousness. Taking a broad approach, we can use the concept of the *unity of consciousness* to summarize Western philosophy through the lenses of Plato's theory of Forms or Ideas, Kant's transcendental deduction, and Lacan's self-recognition mediated through language and social structures.
420 blaze it
23:00 We know that Freud experimented with coke in the late 19th century and initially believed it to have therapeutic benefits. I've got this theory that Saussure joined Freud's trance festivals, and maybe slipped some psychedelics for Lacan. Okay, that is just a joke. 😉
This is crazy but Freud once gave a lecture coked out and wrote about it and he basically said he was just rambling about nothing at high speed. Even as he was writing after the fact he didn’t know what he was saying, and neither did his audience, *but he said that was good, it was what he was going for*. 😂🥸
Yet again hilarious, accurate, and plenty of satire. In the past if I ever wanted to view a book: If I googled libgen, it was like, ah, well, PRE-FIRE the Library of Alexandrina.
This comment was featured in my most recent viewer comment reading video 😎
@@AnthonyMakesVideos As soon as humans learned to squeeze all the water out to MAKE paper, someone had the GREAT idea to store these DRY items near the sea. Second problem: reading at night???
48:41 I mistakenly wrote "wordline" instead of "worldline" because I didn't pay attention to the similarity of characters. Thank you for catching that. Also, I just wanted to say that I'm a big fan of yours! 😉🥰
Hell yeah
20:00 I still have some difficulties in separating German Idealism and German Romanticism. It's worth noting that German Romanticism moved Mathematics beyond strict formalism to incorporate a more intuitive and holistic understanding. For instance, Gauss believed that mathematical insights arose from intuition and creative insight rather than purely logical deduction. Similarly, Bolzano (whom I mistakenly thought was Italian, LOL, but he was Bohemian, the son of an Italian who moved to the Kingdom of Bohemia) emphasized intuition and the inseparability of mathematics from other branches of knowledge.
Movements are superficial anyways, individuals actions really push progress forward 🧐
C inf, just means infintely differentiuable and smooth over its entire domain
YES thank you! Corrections/clarifications are my favorite kind of comments on these. I appreciate you