Lecture � Penrose, quantum + consciousness

Greg Detre

Thursday, 22 February, 2001

Where/who?

 

three worlds + three mysteries: from physical mental platonic physical

physical world � matter, external

mental world � experiential content, consciousness

platonic world � mathematical truths that underly the world as we know it

each seems to depend on the world that precedes it

seems that we can�t be creating the whole world from our mentality because of the circularity of the structure/relations

the diagram is intended to illustrate the paradoxicality of the whole thing

it might be that the different worlds extend in ways beyond their relations with each other, e.g. parts of the mental world that extend beyond the physical

but Penrose suspects that this isn�t the case

 

there are many things in maths that are non-computable

the computable forms a subset of the platonic world, and we can still access it from the mental world, but it might or might not cover all of the physical world

Penrose thinks that there are parts of the physical world (e.g. that which is responsible for our conscious mentality) that is outside the scope of the computable

 

points of view about the relationship between consciousness + computation

  1. strong AI/computational functionalism

whatever thinking is, it�s basically computation

consciousness/qualia as the passive aspect, FW as the active aspect???

if a computer were to perform the right computations, its awareness would somehow spring into being

  1. John Searle

awareness = a feature of the brain�s physical actions, and computational simulation cannot alone reproduce this

so there�s something inherent in the physical instantiation of the brain, for instance, that gives rise to consciousness, different to computation

a simulation of the brain does not itself feel anything (e.g. Chinese room)

what might it possibly be that is physical but non-computational???

  1. something to do with the physical action of the brain, but cannot be simulated computationally
  2. awareness cannot be explained by physical computation, or any other scientific terms

Penrose supports C

 

Penrose is more interested in understanding than qualia or FW

can a computer be capable of general understanding

unsure what the words understanding, intelligence or awareness mean

but we can talk about their relations to each other

cannot talk about intelligence without understanding

and if it has understanding, then it must have awareness

[NO]

example of chess game with white barrier of pawns and king behind, where all you have to do to draw is aimlessly move the king without moving the pawns, whereas Deep Thought attacked the rook in an effort to improve its evaluation of the game (David Norwood + William Hartson)

this is intended to show that humans have understanding

 

Chinese room

huge set of instructions for manipulating Chinese characters whose output appears to demonstrate understanding

it doesn�t matter whether you think it�s a good argument, so much as which of the accounts it targets

it basically says that (A) is wrong

Turing test

interrogator is supposed to be able to infer which is the human and which is the computer

does the Turing test actually establish the presence/absence of consciousness? is consciousness something that you can discern through questioning? does it show itself externally?

yes: A + C

no: B + D

another argument from Chalmers: replacing the neurons one by one with functionally identical transistors

according to Chalmers, consciousness would remain

this only really argues against (B)

this would not really work for Penrose�s position (C), since keeping the computation the theory the same is not what gives rise to consciousness

C + D both survive Searle�s and Chalmers� arguments

Penrose prefers C: otherwise, why would consciousness have evolved?

 

G��s incompleteness theorem

something non-computational - where should one draw the line?

mathematical understanding

human understanding generally

human consciousness

animal consciousness

 

polyominoes � can you tile a plane with one or more of these shapes?

3 shapes � can cover the entire plane, but never copies itself

but surely there are a finite number of combinations???

can�t have a general program that could answer the question for any 3 shapes

 

quantum level (no indeterminacy) measurement (quantum state reduction, non-determinstic, time-asymmetric, non-local, e.g. geiger counter) classical level

at the quantum level, Schr�ger�s equation gives computability

we will never know them as anything other than indeterminate

it�s at the measurement level that all the randomness/indeterminacy occurs (so the indeterminacy is epistemological, on this understanding, rather than ontological, i.e. at the quantum level)

yet if that is the case, then why does the measurement which is based on the determinate quantum level, where does the randomness come from

so our current understanding of quantum mechanics is incomplete

need new object reduction, to which the quantum and classical levels are approximations

 

microtubules: borderline between quantum + classical level

ideas about single-celled organisms are from Hameroff (e.g. paramecium, amoeba) � the cytoskeleton contains the microtubules�

there are activities going on at the quantum level, in the microtubules, which have to influence the synapse strengths

so ultimately the quantum adds a new level of uncomputable computation to the brain

 

 

Questions

Turing test vs zombies

fading + dancing qualia

what sort of physical non-compuational action of the brain could one be talking about???

well, clearly quantum microtubules blah blah

does massive parallelism sort of make the question of computability irrelevant???

no, because it�s about computation, rather than difficulty

aren�t there microtubules in all cells???

are you talking about the hard problem, i.e. how qualia arise???

or is this purely about FW???

how/what do microtubules help???

is it about the uncomputable Godel-incomplete problems that the brain is able to approach???

 

Q&A

resolution of the problem of indeterminacy in measurement is going to explain concsiousness, so we need a new component of quantum mechanics � we need it anyway. how do we know it�s unattainable???

he�s simply being optimistic. if it was to prove wholly unattainable, that would change things.

what�s your level of certainty � ???

randomness doesn�t help with FW

yes, of course not, but what if the randomness is only random-seeming

one objection to Penrose�s Godel argument is that it doesn�t allow for the fact that we make mistakes

tries to discuss the possibility of mistakes in Shadows of the Mind

Turing considers that the way that we can escape Godel�s confines is by making mistakes

what about a physical law of information??? platonic physical worlds�???

 

Mine

how do microtubules help???

Hameroff�s ideas are very different to Penrose�s

for instance, amoeba seem to be able to do things without a NS, and we don�t know how � so the microtubules might be implicated

Duggins experiment with binding problem of motion and colour (Bell�s inequalities) (Zeki et al)

see whether people form one impression or the other

what about Strawson�s opinion, that penrose�s hidden agenda is FW???

not really addressing the determinism issue, because it�s more about non-computability

doesn�t know how it will affect FW

the idea that FW can be explained in terms of electrons �choosing� one state or the other is more Eccles� than Penrose�s � it�s wrong � the electrons themselves are determined, the indeterminacy lies in the measurement (see above)

 

Chalmers thinks that your theory doesn�t help at all with what you call the �passive� aspect of consciousness, any more than a computable process would, since it really doesn�t address how or why qualia arise from quantum effects

 

could the �microtubules giving rise to consciousness� idea be sort of like Egan�s idea of a mind spread across quantum worlds, that is only a sliver within a single world