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Gödel's Incompleteness Theorem reveals that mathematics is limited in its ability to describe reality. Reality extends beyond what can be proven mathematically, leading to the recognition that truth and proof are not the same. Computation, which is highly valued, has its own limits, and physicists are discovering that space-time itself is not fundamental. This challenges the assumption that neurons and space-time are the foundations of consciousness. The spectral gap problem in condensed matter physics suggests that something non-computational is at play. The relationship between mathematics, consciousness, and reality is complex and multifaceted, requiring precise definitions and derivations to understand consciousness in a scientific manner.
Perception and physical events in the universe are not inherently true or false; they simply exist. Truth and falsehood come from interpretations of patterns observed through perception. The key to understanding truth lies in the language used to define it. Classical mathematics, as a stateless language, lacks the notion of time, leading to limitations in establishing truths. Computation and the establishment of truth require a language that allows for state transitions and a notion of time.
The mind creates a virtual reality that evolves through interactions with the outside world. Genesis in the Bible, when viewed as the creation of an experiential universe in which we find ourselves, offers insights into the mind's process of constructing reality. The mind constructs entities such as space, time, objects, and even the self as part of its model of the world. These constructs exist as virtual simulations or models, used to make sense of our experiences and interactions.
In developing theories of consciousness, it is crucial to clearly define the assumptions being made and the derivations that lead to specific conscious experiences. The assumption that space-time and neurons are fundamental contradicts our best physics theories and the understanding that sensory systems do not provide access to objective reality. A theory of consciousness should go beyond these assumptions and provide precise explanations for the emergence of specific conscious experiences from underlying mechanisms.
Stateless mathematics cannot deal with infinities and the construction of functions that take infinitely many arguments. It also means that truth becomes contingent on the language used, and statements cannot be proved outside of the language.
Computational systems allow us to model and understand reality, but it is important to recognize that models are approximations and interpretations of reality. The ability to make predictions and decisions under uncertainty is what gives rise to the perception of free will.
Continuity is a disputed concept, with the argument that it cannot be constructively implemented and leads to contradictions. Constructive mathematics, which relies on discretized and finite processes, is seen as a more reliable and useful approach.
The discussion revolves around the concept of the origin of the universe and the idea of the Big Bang. The speaker explains that the Big Bang is a hypothetical point where information is not diffused yet, resembling a mathematical singularity. They emphasize that the question of what came before the Big Bang is irrelevant, as it is comparable to looking at a pattern where information goes out of distribution. The talk delves into the idea that going away from the Big Bang leads into a future in which systems could form memories of the past, requiring some reservoir of negentropy. The concept of a future direction and the formation of memories are essential points covered in the episode.
The discussion also covers the topic of free will from a physicalist perspective. One speaker argues that in a physicalist framework, free will is merely a useful fiction since neural activity causes all human behavior. Another speaker adds that if one is a physicalist, free will doesn't exist. However, they mention that if consciousness is fundamental, there could be an interesting interpretation that probability in conscious agents could be seen as free will. They acknowledge that theories of everything, like deterministic frameworks, have limitations and cannot explain everything due to underlying assumptions. The conversation highlights the disagreement on whether there can be one ultimate theory or if unknown physics and mathematics could resolve the debate.
YouTube link: https://youtu.be/bhSlYfVtgww
Deep dive into the nature of consciousness and reality.
Sponsors: https://brilliant.org/TOE for 20% off. For Algo's podcast https://www.youtube.com/channel/UC9IfRw1QaTglRoX0sN11AQQ and website https://www.algo.com/.
Patreon: https://patreon.com/curtjaimungal
Crypto: https://tinyurl.com/cryptoTOE
PayPal: https://tinyurl.com/paypalTOE
Twitter: https://twitter.com/TOEwithCurt
Discord Invite: https://discord.com/invite/kBcnfNVwqs
iTunes: https://podcasts.apple.com/ca/podcast/better-left-unsaid-with-curt-jaimungal/id1521758802
Pandora: https://pdora.co/33b9lfP
Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e
Subreddit r/TheoriesOfEverything: https://reddit.com/r/theoriesofeverything
Merch: https://tinyurl.com/TOEmerch
LINKS MENTIONED:
-QBism Paper: https://arxiv.org/abs/1003.5209
-Donald Hoffman's book The Case Against Reality (affiliate): https://amzn.to/34eWmxz
-Plato and the Nerd (affiliate): https://amzn.to/34GMexr
TIMESTAMPS:
00:00:00 Introduction
00:03:34 Is a Theory of Everything possible? / Definition of Consciousness
00:08:32 Spacetime's fundamental nature (or not)
00:14:27 Joscha Bach on mysterianism, telepathy, and consciousness
00:34:40 Joscha has a way of interpreting the Bible literally
00:42:01 Physical world vs Computational world
00:57:57 On Gödel and changing the definition of truth to provable / computable
01:12:33 What parts of the mind makes statements beyond computation?
01:13:57 Real numbers don't exist?
01:15:23 [Prof. Edward Lee] Reality is not necessarily algorithmic
01:34:02 Donald Hoffman on Free Will
01:44:03 Joscha Bach on Free Will and whether a TOE exists
01:57:10 What would change in Bach's model if classical logic was correct?
02:07:42 Penrose and Lucas argument regarding Gödel and the mind
02:13:55 Closing thoughts from Bach and Hoffman on each other's work
* * *
Just wrapped (April 2021) a documentary called Better Left Unsaid http://betterleftunsaidfilm.com on the topic of "when does the left go too far?" Visit that site if you'd like to watch it.
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