Ero

How far did you go into math beyond linear algebra and group theory? I am also a pure math student, and the truth is you can’t find online good resources on anything above abstract algebra and real analysis. Have you ever spent 6h on a problem on elliptic functions? Or on singular cohomology? There are no actual “online courses” on topics like these, which are considered basic graduate topics. It is true you can just download the books for free, but the difference between studying yourself (which I have) and in college is incomparable. Moreso, at that level, there’s no cute video that can demonstrate the concepts your working with. If anyone is genuinely serious about mathematics (which you would know by end of HS), i mean it, college is the only way. You wont even know how to write a proofs without that, and that means you won’t be doing mathematics, only hand waving.

Gimmicky how? OneNote doesn’t have more than 3 layers in it’s hierarchy (journal, tab, page), you cannot do relational linking and can’t write Latex/code. If you are a student for example, OneNote simply won’t work for you.

Newly discovered mathematician/ program in the foundations of mathematics: Homotopy Type Theory, with a primary author Vladimir Voevodsky - similar to Barry Mazur, his only higher education is in fact a PhD from Harvard, having been expelled from Moscow State University due to skipping failing classes. Nonetheless, his research papers were so impressive that he got in without even applying. His formulation of motivic cohomology (study of the invariants of algebraic varieties and schemes) is believed to be the correct one, uniting previously distinct cohomology theories, such as singular (what I am studying now), de Rahm, etale and crystalline cohomology. (Definitely a topic I need to consider for my PhD) During this foundational work, for which he received a Fields medal in 2002, he started realizing that 'human brains could not keep up with the ever-increasing complexity of mathematics. Computers were the only solution' His work has in fact been foundational to the development of the *Coq* formal proof assistant. The main idea behind homotopy type theory is that types can be regarded as spaces in homotopy theory or higher-dimensional groupoids in category theory. The higher (graded) homotopy groups form a weak ∞-groupoid with k-morphisms at level k of the filtration. The traversal (paths) of this multi-dimensional space represents the proofs (for e.g., proofs of existence have the space is filled with elements of the satisfactory set). An analogy that was given on reddit, which I really liked, is that Topos Theory is the computer architecture and hardware construction (mathematical universe), whereas HoTT is the software and programs in it (proofs). Definitely have to read the original (and still only book) on the topic - https://hott.github.io/book/hott-ebook-15-ge428abf.pdf

I second that. Even philosophically brilliant people can fool themselves in thinking the big picture can substitute for the details. Would you rather be operated on by a MD grad or a reiki practitioner with only HS? I’ve self-taught myself large parts of math and physics, and have also taken grad-level classes in these topics. Truth is, whatever you think you can do in 5h, college will make you (and in the process teach you) how to do it in 30 mins. It gives structure, rigour and most of all - direction. You may think some idea is interesting and worth pursuing, whereas it could have been discovered to be a dead end years earlier- an advisor/ professor is someone who can tell you that in advance. Not without its faults, but the critiques should be from above, not below, understanding first that the size and complexity of human knowledge requires an academic structure to begin with. If you are genuinely serious about STEM, college is the only way.

It is the first encounter of periodic functions (one period). Wait till you discover elliptic functions, which are doubly periodic in complex space - they serve as the foundation for modular forms and many hyperbolic geometries - that’s where you will find the aliens, having mastered the curvature tensors👽

+1 on Obsidian. I’m taking PhD classes in Math and Stats and it’s fair to say nothing even comes close to its functionality for text, Latex, code, visualisation boards, task management, etc. Ive used paper, one note, latex and jupyter notebooks, notion and it’s fair to say I’m never going back. p.s wait till u start using git and customizing plugins

I have tried every knowledge management system imaginable. 700+ pages of text on paper, over 1300 page- equivalent text in one note, 950+ in notion and I have to agree with @Joshe. Nothing even comes close to Obsidian.

Philosophically-informed science is more rewarding than pure philosophy for some people. It is also harder because you are not only trying to get the big picture, but also the details. An example of this is Steve Patterson - after your blog post I read his book, multiple of his post and reached out. We corresponded. Whilst he has very developed understanding of the limits of science, its social dynamics, etc., his actual ideas on how to fix the 'foundations of mathematics' are exceptionally ignorant, i.e finitism, discreteness and entirely rejecting continuity.

I got my hands on a lot of Salvia basically for free. I am planning on smoking it with a pipe. Set and setting are all in order. I have about 30 trips, last one I had was 300 ug of LSD about a month ago: it was a top 3 experience - an alien awakening which set the foundation for what I am exploring now as a technical paradigm for my thesis - chaos, entropy, order. I am aware salvia is quite different in that regard - rather than dialling up consciousness, it distorts and morphs it, but nonetheless I am committed on trying it. Any tips and directions from fellow psychonauts are welcome.

Smoking in the Balkans is really something else, I think it's close to 40% of us. Most of my friends smoke, I have been on and off since the age of 18. Stopping entirely is always the best idea, but when you are surrounded by it, it's a bitch. I am powerlifting, so I have dialed it back significantly, lighting a few only on social occasions. The good thing is I study in the US and here the packs are mad expensive and no one really smokes so I go for 8-9 months without. To answer your question, you are definitely all good if you stop now. I have also smoked for about 4 years on and off and have no issues with climbing, running and exercising at high intensity. It will start getting bad if it's a daily habit.

@Keryo Koffa Your video encapsulates what you just described so well, which just goes to show how meta you went. I think as a psychonaut you have chartered territory comparable to the likes of Kilindi Iyi, the ultra-high does stuff, possibly even more complex due to the psychedelic-dissodelic synergy. Glad you are still here to share. From my 6 years on this forum, this is definitely a highlight.

This.

You are just next level. Them alien holarchies in your brain be working 24/7 to translate relational and contextual meaning like it's no one's business.

🤯🤯🤯 I know I will be coming back to this video for years to come. Your 'double up' message was so on point, will have to follow the cosmic instructions next time, hah.

Thank you for your feedback, @Davino, @Paradoxed. I think the salvia I got turned out to be very weak. I might have to try and do an extract or get a stronger one, but that will be in the future. What happened was that I made several doses of 0.25 and was doing progressively more without much of an effect. The most it got after like the 6th attempt was waviness with mild body effects, but that was essentially it. It also didn't do anything more than that to either of my brothers. Sorry to disappoint, hah. Will come back eventually to it, since there is something exceptionally strong drawing me to this substance. I have had extremely vivid dreams my entire life (one yesterday) that closely match what i have read as trip reports. But not yet I guess.

@LambdaDelta Thanks, will keep the taste in mind! @Sho fio I had set 'alien' as my directive during that trip and what I experienced subsequently was on a cosmic scale. Best I can describe it to you is I became a Kardashev scale 2-3 entity, taming stars and receiving guidance on the fundamental missing piece in the contemporary paradigm.

I try not get ahead of myself with salvia. Very experienced users, such as @Leo Gura and @Davino for example, have cautioned extensively.

Thanks! I don't want to set any expectations other than consciousness exploration. I do set intent through a word or phrase, and in this case it would be 'chaos, entropy, order'

@Keryo Koffa When you say Psychic, are you referring to Michael Talbot’s range of siddhis, or is there something specific you want? For me, the “magician” Is THE archetype, since it is described as having both theoretical and technological insight - the one who makes something out of nothing. That is the only way I see of bringing world-changing amount of value without oppression or manipulation. Nuclear fission, flying saucers, meta materials - that’s on my wish list, hah

I am yet to experience stage Coral, hah. You definitely should write about your trips and the process of integration in the Journal section. I know a lot of other forum members also follow your posts with immense interest. There mods won’t make any complaints about your art, references and style of writing.

Great input, I can see you have been thinking deeply about this topic. I would also suggest looking into Statistical Physics - it’s mathematical dimension has lead to Fields-level research, specifically on the Conformal Invariance of Brownian motion, Ising and Lattice models, the latter of which have direct application to Neural Networks.

That unfortunately is true. I think the proliferation of social media has lead to eco-chambers that erode the epistemic trust in science and all our accumulated knowledge to date. Whilst I in no means claim science to be the end-all-be-all, we nonetheless would be foolish to erase and reject its 2000 year old history. I envision its recontextalization by addressing the underlying metaphysical and ontological assumptions that in fact prevent its growth. Ideas, such as non-determinism, holism, emergence, non-completeness would only help complexify our understanding (Tier 1-> Tier 2).

@r0ckyreed You are still operating with a pre-rational model of the world, which is of course okay. Nobody is 'denying time' for the sake of their survival/ character continuity. We still use clocks and calendars. But the deeper understanding of it to be an emergent phenomenon/illusory is what allows for you to, for example, have internet and share your thoughts with us. By your same logic, denying its deeper nature by no means changes how it affects you. You don't have to know the GR field equations to understand that the faster you move, the slower times moves for you. We have predicted the existence of gravitational waves, lensing, and black holes precisely due to this understanding. What have you predicted?

My last 300ug trip was an Alien Awakening. Contemplating their existence and technology will very well unlock a phase shift in our understanding.

Good thing. Use the void to crystalize a material exchange. What's the point of all them realizations if we don not become magicians, right?