Key Moments

Scott Aaronson: Computational Complexity and Consciousness | Lex Fridman Podcast #130

Lex FridmanLex Fridman
Science & Technology4 min read113 min video
Oct 12, 2020|166,138 views|4,107|527
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TL;DR

Scott Aaronson discusses computation, consciousness, simulation theory, and complexity theory.

Key Insights

1

The universe might be computable, satisfying the Church-Turing thesis, but whether it's a simulation is hard to prove.

2

Integrated Information Theory (IIT) for consciousness fails because it assigns consciousness to systems like error-correcting codes, not just evolved systems.

3

The 'pretty hard problem' of consciousness is identifying conscious systems, distinguishing it from the 'hard problem' of explaining consciousness itself.

4

Complexity theory studies resource requirements for computation, defining classes like P (polynomial time) and NP (non-deterministic polynomial time).

5

The P versus NP problem, asking if every problem with an easily verifiable solution can be easily solved, remains a major unsolved question; most believe P ≠ NP.

6

Universality in computation means a few simple rules (like NAND gates) can express any computation, a foundational idea in computer science.

7

The pandemic highlighted institutional failures and the challenge of uniting a divided society, underscoring the need for competence and open discourse.

THE SIMULATION HYPOTHESIS AND COMPUTABILITY

The discussion begins by exploring the intriguing question of whether we live in a simulation. Aaronson posits that while the universe appears computable, satisfying the Church-Turing thesis, proving it's a simulation is inherently difficult. A perfect simulation would, by definition, be indistinguishable from reality, making direct evidence impossible. The analogy of a computer trying to understand its creator is raised, highlighting how exploiting 'bugs' or breaking abstraction layers could be a route to realizing such a possibility, though currently purely speculative.

UNDERSTANDING CONSCIOUSNESS: THE PRETTY HARD PROBLEM

Aaronson introduces his concept of the 'pretty hard problem' of consciousness, distinct from the 'hard problem' of explaining subjective experience. The pretty hard problem focuses on identifying which physical systems are conscious and to what degree. He critiques Integrated Information Theory (IIT), arguing it fails because it incorrectly assigns consciousness to systems like error-correcting codes, which have high 'phi' values but lack intuitive consciousness. Aaronson emphasizes that a valid theory should align with our existing intuitions about consciousness, not arbitrarily redefine it.

COMPLEXITY THEORY: MEASURING THE DIFFICULTY OF PROBLEMS

Complexity theory, Aaronson explains, is the study of the computational resources (like time and memory) required to solve problems. He defines key complexity classes: P (problems solvable in polynomial time) and NP (problems where solutions are easy to check, but not necessarily easy to find). The P versus NP problem, a central question in theoretical computer science, asks if these two classes are equivalent—most experts believe they are not, as factoring large numbers, a problem thought to be in NP but not P, underpins much of modern encryption.

UNIVERSALITY AND THE FLATTENING OF COMPUTATION

The beauty of universality in computer science is highlighted, showing that a few simple operations (like NAND gates) are sufficient to express any possible computation. This principle, formalized by Turing machines, means that any programming language's power can be replicated by a universal Turing machine. While this concept might seem paralyzing initially, it is empowering, signifying that once these fundamental rules are understood, the potential for computation is limitless, bounded only by resources like time and memory.

THE P VS NP CONJECTURE AND ITS IMPLICATIONS

Aaronson expresses a strong conviction that P is not equal to NP, likening it to a law of nature. If P were equal to NP, it would revolutionize fields like cryptography, potentially breaking all current encryption methods and enabling rapid training of neural networks. While a proof might exist without an immediately practical algorithm, the implications of P=NP would be profound, impacting everything from cybersecurity to artificial intelligence, and potentially allowing solutions to previously intractable problems.

THE PANDEMIC, INSTITUTIONAL FAILURE, AND SOCIAL DIVISION

The conversation touches upon the profound impact of the COVID-19 pandemic, particularly the staggering failure of institutions like the CDC and media, which were expected to be competent and trustworthy. Aaronson contrasts this with the fictional portrayal in 'Contagion,' which imagined competent institutions battling baseless conspiracy theories. The reality, he notes, is that institutions have been captured by incompetence and ideology, exacerbating societal divisions rather than fostering unity, which he finds deeply troubling and a failure of leadership.

THE CHALLENGE OF OPEN DISCOURSE AND 'CANCEL CULTURE'

Aaronson strongly opposes the trend of 'cancel culture' and shouting down opponents, arguing it is spectacularly ineffective at achieving its stated goals of combating racism and sexism. He advocates for open discourse, reasoning with opponents, and allowing for nuanced conversations, even on contentious topics. While acknowledging the psychological toll of online attacks, he believes that more people need to speak up against these dynamics, moving from silent agreement to vocal support for open dialogue across the political spectrum.

THE ROLE OF LOVE AND HUMAN CONNECTION

Despite his deep engagement with theoretical computer science, Aaronson affirms the crucial role of love and human connection in his life, particularly his love for his family. He acknowledges that as a scientist, he may not have profound insights into the nature of love itself, but it remains a fundamental aspect of his personal experience. The discussion highlights that even in highly intellectual pursuits, emotional and interpersonal connections are vital for a meaningful existence.

Common Questions

Scott Aaronson defines the 'pretty hard problem' as determining which physical systems are conscious, to what degree, and quantifying that consciousness based on physical or informational properties of the system, without relying on intuition or personal bias. This is distinct from the 'hard problem' of why consciousness arises at all.

Topics

Mentioned in this video

People
Stephen Hawking

Renowned theoretical physicist, mentioned as someone who constantly talked about a theory of everything.

Shafi Goldwasser

Computer scientist who won the Turing Award for inventing zero-knowledge proofs.

Donald Trump

45th US President, mentioned in context of political failures preceding his presidency.

Don Knuth

Computer scientist and author of 'The Art of Computer Programming,' who conjectures that P=NP but with an inefficient algorithm.

Edward Witten

Theoretical physicist and leading figure in string theory, mentioned as someone who would advocate for a unified description of nature.

John Searle

Philosopher who proposed the Chinese Room argument, mentioned in relation to the argument's premise.

Silvio Micali

Computer scientist who won the Turing Award for inventing zero-knowledge proofs.

Hunter S. Thompson

American journalist and author quoted by Lex Fridman at the start of the podcast.

Leonard Susskind

Theoretical physicist, known for his work in string theory, mentioned as someone who would agree on the pursuit of a theory of everything.

Lex Fridman

Host of the podcast, who introduces Scott Aaronson and leads the conversation.

Peter Shor

Famous quantum computing researcher, joked about a potential 'overflow error' in the universe if general relativity and quantum mechanics were fully integrated.

Roger Penrose

Mathematician and physicist who proposed that quantum mechanics may play a role in consciousness through biological structures like axons. Aaronson discusses and critiques his multiple speculative arguments.

Abraham Lincoln

16th US President, mentioned for his desire to unite the country even during the Civil War.

Scott Aaronson

Professor at UT Austin and director of the Quantum Information Center, guest on the podcast discussing computation, complexity, and consciousness.

Steven Pinker

Cognitive psychologist and linguist, known for engaging with difficult topics and being attacked by 'cancel culture'.

David Goggins

American ultramarathon runner, ultra-distance cyclist, triathlete, public speaker, and author, mentioned as an example of someone facing demons through physical challenges.

Eric Weinstein

Mathematician and podcaster, mentioned in the context of having ideas for a theory of everything.

Giulio Tononi

Neuroscientist who put forward the Integrated Information Theory of consciousness. Aaronson criticizes his theory and his response to counter-arguments.

Stephen Wolfram

Computer scientist and physicist, mentioned in the context of having ideas for a theory of everything, and previously interviewed outdoors by Lex.

Leonid Levin

One of the original discoverers of NP-completeness, who proposed a theoretical algorithm to solve NP problems efficiently if P=NP, though utterly impractical.

Scott Alexander

Author of the blog Slate Star Codex, whose description of GPT-3 as 'grinding up the entire internet into a slurry' is quoted.

Richard Feynman

Physicist known for his path integral formulation of quantum mechanics, mentioned in connection with understanding how BQP is contained in P-space.

Alan Turing

Father of theoretical computer science and artificial intelligence, who wrote about the Turing test and discussed the idea of Gödel's theorem relating to consciousness 70 years prior.

Concepts
The Chinese Room Argument

A thought experiment by John Searle arguing that a program cannot give a computer a 'mind' or 'consciousness', regardless of how intelligently the program may make the computer behave.

Turing Test

A test of a machine's ability to exhibit intelligent behavior equivalent to, or indistinguishable from, that of a human. Discussed in relation to consciousness and AI chatbots.

Gödel's Incompleteness Theorem

A mathematical theorem stating that in any consistent formal system containing basic arithmetic, there are true statements that cannot be proven within the system. Penrose uses this as part of his argument for uncomputable aspects of consciousness, an argument Aaronson finds unsound.

Relativity

Einstein's theory of gravity, mentioned in the context of unifying it with quantum mechanics.

Riemann hypothesis

One of the Millennium Prize Problems, mentioned as an example of a hard problem that could be solved by a fast algorithm if P=NP.

Quantum Mechanics

The fundamental theory describing nature at the smallest scales, discussed in relation to unifying it with general relativity and its potential role in consciousness.

cryptography

The practice and study of techniques for secure communication in the presence of third parties, used as a central idea for zero-knowledge proofs.

Black Hole Singularity

A point in spacetime where the density and gravity are infinite, mentioned as an extreme phenomenon where unknown laws of physics might apply.

Deep Learning

A subset of machine learning using neural networks with multiple layers for tasks like text and image generation.

Poincaré Conjecture

One of the Millennium Prize Problems, already solved by Grigori Perelman who turned down the prize.

Church-Turing Thesis

A fundamental hypothesis in computer science stating that any function computable by an algorithm can be computed by a Turing machine, discussed in relation to the universe's computability.

Occam's razor

A philosophical principle that states among competing hypotheses, the one with the fewest assumptions should be selected.

A Theory of Everything

In fundamental physics, a hypothetical theory that unifies all the fundamental interactions of nature, and not literally everything in the universe.

Integrated Information Theory

A theory of consciousness proposed by Giulio Tononi that seeks to explain which physical systems are conscious and to what degree, based on how a system is connected (quantified by 'phi'). It is criticized for its non-rigorous derivation and counter-intuitive predictions.

Software & Apps
C++

A general-purpose programming language, mentioned as an example of a language with the same expressive power as a Turing machine.

Slate Star Codex

A blog by Scott Alexander, whose author is quoted regarding GPT-3.

Eugene Goostman

A chatbot that controversially claimed to pass the Turing test, simulating a 13-year-old boy. Aaronson critiques its capabilities, finding it not a significant advance over Eliza.

Apple BASIC

An early programming language for Apple computers, mentioned by Aaronson as one he learned as an adolescent.

Eliza

A famous early natural language processing computer program developed in the 1960s, which simulated a therapist and fooled many people despite its simple design. Discussed as a baseline for chatbot performance.

Complexity Zoo

A website created by Scott Aaronson in 2002 to catalog different complexity classes in theoretical computer science.

Bitcoin

A decentralized digital currency, mentioned as an example of something that could be broken by an algorithm if P=NP.

Apple Podcasts

Podcast platform where listeners can review the podcast.

GPT-2

Predecessor to GPT-3, mentioned to illustrate the significant advancement in capability of GPT-3 with increased network size and training data.

Java

A high-level, class-based, object-oriented programming language, mentioned as an example of a language whose programs can be compiled down to a Turing machine.

GPT-3

A large language model developed by OpenAI, noted for its impressive capability to generate human-like text, poems, and essays, but still having limitations in logical reasoning and arithmetic.

GW-BASIC

A dialect of BASIC developed by Microsoft, mentioned by Aaronson as one of the early programming languages he learned.

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