Quote:In episode 5 of Quantum Consciousness, Justin Riddle answers the question, what is a digital computer? An understanding of how digital computers work is essential to discussing consciousness. Fundamental to the digital computer is the creation of solid states within a universe teeming with quantum fluctuations. Topics for today: Alan Turing's model of a computer, David Marr's three levels of analysis of information processing, the creation and maintenance of solid-states, how digital computation highlights the measurement principle of quantum mechanics, logic gates within central processing units, de-mystifying computer software, and the limitations of automation.

0:00 Introduction & recap

2:05 Why study digital computers?

4:27 The Turing Machine

5:46 David Marr's three levels of analysis

7:09 Digital computers are physical

11:44 Transistors & error-correction

18:52 Measurement in digital computers

23:13 Central Processing Unit

27:45 De-mystifying the digital computer

36:22 Jobs safe from automation

40:55 Summary & outro

'Historically, we may regard materialism as a system of dogma set up to combat orthodox dogma...Accordingly we find that, as ancient orthodoxies disintegrate, materialism more and more gives way to scepticism.'

- Bertrand Russell

Quote:In episode 6 of Quantum Consciousness, Justin Riddle explores the nature of quantum computers and compares their function to digital computers. How does quantum computation vastly outperform digital computation? Why is digital computation still required? Can quantum computers run exponentially large search algorithms in polynomial time? Will we have to merge our conscious minds with our technology to keep up with it?

0:00 Introduction & Recap

2:12 You are a quantum computer

5:03 Digital Interface

8:33 Quantum Coherence

11:40 Goal is a large single wave function

18:15 Universal Quantum Simulation

22:42 Run times and Computability

29:30 Can q-computers run exponential search?

34:20 Future applications of q-computers

35:52 The Self through Quantum Coherence

39:25 Building quantum computers

44:08 The Singularity is Near

50:35 Outro

'Historically, we may regard materialism as a system of dogma set up to combat orthodox dogma...Accordingly we find that, as ancient orthodoxies disintegrate, materialism more and more gives way to scepticism.'

- Bertrand Russell

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'Historically, we may regard materialism as a system of dogma set up to combat orthodox dogma...Accordingly we find that, as ancient orthodoxies disintegrate, materialism more and more gives way to scepticism.'

- Bertrand Russell

Quote:In episode 10 of the Quantum Consciousness series, Justin Riddle explains that mathematics does not have a firm foundation in first order logic. While it seems intuitive that mathematics should be able to be described by simple principles, there is no simple way to explain how humans can comprehend mathematics. What happens when we try to use first order logic to explain how first order logic works? Well, we run into paradox: situations that are impossible to resolve and do not make any sense. For example, take the liar’s paradox, “this sentence is false.” There is no way to make sense of this sentence, because it leads to paradox. The content of the sentence is not supposed to refer to the truth value of the statement itself. Similarly, you cannot use first order logic to refer to the truth value of first order logic itself. Sets cannot describe sets (Bertrand Russell’s set paradox). And most dramatically, digital computers cannot even describe digital computers (Alan Turing’s halting problem). All of this leads Roger Penrose to conclude that “humans are not using a knowably sound algorithm to ascertain mathematical truth.” While we can understand things and learn mathematics, it’s really not clear how this is possible and something more than digital computers are required! Quantum mechanics offers a novel lens to this problem as the first order logic that appears in particles also has a supervening wavefunction that does not appear to follow the rules of first order logic. I don’t have the answer for you, but I sure have a lot of questions for you to consider!

Quote:0:00 Introduction

2:20 Types of knowledge

4:15 First Order Logic

7:57 Foundation Crisis

10:57 Gödel’s Incompleteness

13:08 Paradox

15:56 The Halting Problem

23:30 Roger Penrose’s Noncomputation

24:20 Particles ruled by waves

'Historically, we may regard materialism as a system of dogma set up to combat orthodox dogma...Accordingly we find that, as ancient orthodoxies disintegrate, materialism more and more gives way to scepticism.'

- Bertrand Russell