Alan Turing |
The Church Turing Deutsch (CTD) principle states that a universal computing device can simulate every physical process.
The principle appears to work fine when applied to purely physical systems, but it runs into some interesting problems when we try to extend it to simulating the mind. If we assume that the CTD principle is universally applicable, then evidence suggests that aspects of the mind may lie outside the scope of physics.
Alonzo Church |
The Church-Turing-Deutsch Thesis
To quote Michael
Nielson
'The Church-Turing-Deutsch (CTD) Principle is a descendant of a famous idea known
as the Church-Turing Thesis, taught to all computer scientists early in their degrees.
Ill talk later about the relationship between the Thesis and the Principle.
Just stating the CTD Principle makes it look deceptively obvious: Every physical process
can be simulated by a universal computing device.
Most educated adults in the West today believe this Principle, whether they realize it or
not.
We do not blink an eye to be told that a computer is being used to simulate a new
aircraft, the explosion of a bomb, or even the creation of the Universe. The fact is, most
people take it for granted that your standard desktop computer, given enough time and
memory, can simulate pretty much any physical process.
Yet our ease with the CTD Principle is an ease brought by familiarity. One hundred years
ago the statement would have been far more surprising, and, I suggest, even shocking to
many people.
Viewed from the right angle, the CTD Principle still is shocking. All we have to do is
look at it anew. How odd that there is a single physical system albeit, an
idealized system, with unbounded memory which can be used to simulate any other
system in the Universe... More
David Deutsch |
Does the Church-Turing-Deutsch Principle apply to mind?
However, when we attempt to apply the CTD principle to the mind and mental processes (as
some materialist philosophers
have tried in the past) , we quickly come across a variety of limitations that lead us
to question whether the mind is a physical entity at all.
Of course Turing never intended his thesis to be an explanation of the mind, and
there is speculation that his friend Morcoms death influenced Turings work on
artificial intelligence, as he analysed the
relationship between the material and the spiritual.
Christopher Morcom |
Limitations of Computer simulations
In order to compare the Church-Turing thesis with the Buddhist philosophical teachings of
the three modes of existential dependence (Causal
Relationships, Structural Relationships and Mental Designation), we first need to be
more explicit about what we mean by a computer simulation.
A computer simulation consists of an algorithm or set of algorithms working on
datastructures. Translating to Buddhist terminology, the algorithms correspond
to causal relationships, and the datastructures correspond to physical structures ('mereology').
The third aspect of reality - Mental designation - lies outside the scope of the
Church-Turing-Deutsch principle, so the limitations of the CTD may tell us something about
the mind.
Nonalgorithmic Phenomena
Computer simulations are, by their very nature, incapable of dealing with nonalgorithmic
phenomena.
The great difficulty in talking about nonalgorithmic phenomena is that although we can say
in general terms what they do, it is impossible by their very nature to describe how they
do it. (If we could describe in a stepwise manner what was going on, then a phenomenon
would be algorithmic!).
A typical example of a nonalgorithmic activity is assigning meaning to any object. For
example, when is a chariot a heap of firewood? Or when is a car a pile of parts? (as
discussed under sunyata).
Many processes involving semantics, as distinct from syntax, appear to be non-algorithmic.
Other apparently nonalgorithmic phenomena are:
- Qualia
Qualia (singular 'quale') are internal,
subjective, qualitative states such as the redness of red, aesthetic experiences of
beauty and revulsion, pain, happiness, boredom, depression, elation, motivation,
intention, the experience of understanding something for the first time, etc. Such states
are subjective and private and are distinct from (though causally related to) physical and
neural activities. Whether the causal relationship is one-way or two-way is open to
debate. The subject of qualia is closely
linked to aesthetics.
- Freewill
Freewill is the ability to make conscious choices between options, which thus implies
taking responsibility for one's actions. The assumption that sane citizens possess
freewill is the basis for the rule of law in all civilised countries.
The Hard Problem |
-The Hard Problem
It is hard to see how the mere enaction of a computation should give
rise to an inner subjective life.
'The 'Hard Problem' of consciousness is the problem of explaining how and why we have
qualitative phenomenal experiences. David Chalmers contrasts this with the "easy
problems" of explaining the ability to discriminate, integrate information, report
mental states, focus attention, etc. Easy problems are easy because all that is required
for their solution is to specify a mechanism that can perform the function. That is, their
proposed solutions, regardless of how complex or poorly understood they may be, can be
entirely consistent with the modern materialistic conception of natural phenomena.
Chalmers claims that the problem of experience is distinct from this set, and he argues
that the problem of experience will "persist even when the performance of all the
relevant functions is explained".
The existence of a "hard problem" is controversial and has been disputed by some
philosophers. Providing an answer to this question could lie in understanding the roles
that physical processes play in creating consciousness and the extent to which these
processes create our subjective qualities of experience.
Several questions about consciousness must be resolved in order to acquire a full
understanding of it. These questions include, but are not limited to, whether being
conscious could be wholly described in physical terms, such as the aggregation of neural
processes in the brain. It follows that if consciousness cannot be explained exclusively
by physical events in the brain, it must transcend the capabilities of physical systems
and require an explanation of nonphysical means. For philosophers who assert that
consciousness is nonphysical in nature, there remains a question about what outside of
physical theory is required to explain consciousness. - Wiki
- Neuroplasticity and downward
causation.
Neuroplasticity is essentially the reverse of the Hard Problem. In fact, it turns upside
down the assumptions inherent in the previous statement: this question could lie
in understanding the roles that physical processes play in creating consciousness and the
extent to which these processes create our subjective qualities of experience.
Neuroplasticity seems to show that subjective qualitative awareness such as experienced
during Buddhist meditation can actually produce mind-over-matter effects on
the structure of the brain. Since the qualia of inner peace, universal
compassion, and tranquillity have no known algorithms, it seems impossible to produce a
computer model of this process, which has physical results, but no physical causes.
This form of causation, distinctive from physics, where mental/conscious agency exerts
"downward" causal influence on brain plasticity and the various levels of brain
functioning, has been studied by teams of neuroscientists and Buddhist meditators:
How
thinking can change the brain
'The Dalai Lama, who had watched a brain operation during a visit to an American
medical school over a decade earlier, asked the surgeons a startling question: Can the
mind shape brain matter?
Over the years, he said, neuroscientists had explained to him that mental experiences
reflect chemical and electrical changes in the brain. When electrical impulses zip through
our visual cortex, for instance, we see; when neurochemicals course through the limbic
system we feel.
But something had always bothered him about this explanation, the Dalai Lama said. Could
it work the other way around? That is, in addition to the brain giving rise to thoughts
and hopes and beliefs and emotions that add up to this thing we call the mind, maybe the
mind also acts back on the brain to cause physical changes in the very matter that created
it. If so, then pure thought would change the brain's activity, its circuits or even its
structure.
One brain surgeon hardly paused. Physical states give rise to mental states, he asserted;
'downward' causation from the mental to the physical is not possible. The Dalai Lama let
the matter drop. This wasn't the first time a man of science had dismissed the possibility
that the mind can change the brain. But 'I thought then and still think that there is yet
no scientific basis for such a categorical claim,' he later explained. 'I am interested in
the extent to which the mind itself, and specific subtle thoughts, may have an influence
upon the brain.'
The Dalai Lama had put his finger on an emerging revolution in brain research. In the last
decade of the 20th century, neuroscientists overthrew the dogma that the adult brain can't
change. To the contrary, its structure and activity can morph in response to experience,
an ability called neuroplasticity. The discovery has led to promising new treatments for
children with dyslexia and for stroke patients, among others.
But the brain changes that were discovered in the first rounds of the neuroplasticity
revolution reflected input from the outside world. For instance, certain synthesized
speech can alter the auditory cortex of dyslexic kids in a way that lets their brains hear
previously garbled syllables; intensely practiced movements can alter the motor cortex of
stroke patients and allow them to move once paralyzed arms or legs.
The kind of change the Dalai Lama asked about was different. It would come from inside.
Something as intangible and insubstantial as a thought would rewire the brain. To the
mandarins of neuroscience, the very idea seemed as likely as the wings of a butterfly
leaving a dent on an armored tank
Buddhists
build a better brain
'Participating in an eight-week mindfulness meditation program appears to make
measurable changes in brain regions associated with memory, sense of self, empathy, and
stress. In a study that will appear in the Jan. 30 issue of Psychiatry Research:
Neuroimaging, a team led by Harvard-affiliated researchers at Massachusetts General
Hospital (MGH) reported the results of their study, the first to document
meditation-produced changes over time in the brains gray matter.
Although the practice of meditation is associated with a sense of peacefulness and
physical relaxation, practitioners have long claimed that meditation also provides
cognitive and psychological benefits that persist throughout the day, says study
senior author Sara Lazar of the MGH Psychiatric Neuroimaging Research Program and a
Harvard Medical School instructor in psychology. This study demonstrates that
changes in brain structure may underlie some of these reported improvements and that
people are not just feeling better because they are spending time relaxing.
Previous studies from Lazars group and others found structural differences between
the brains of experienced meditation practitioners and individuals with no history of
meditation, observing thickening of the cerebral cortex in areas associated with attention
and emotional integration. But those investigations could not document that those
differences were actually produced by meditation.
For the current study, magnetic resonance (MR) images were taken of the brain structure of
16 study participants two weeks before and after they took part in the eight-week
Mindfulness-Based Stress Reduction (MBSR) Program at the University of Massachusetts
Center for Mindfulness. In addition to weekly meetings that included practice of
mindfulness meditation which focuses on nonjudgmental awareness of sensations,
feelings, and state of mind participants received audio recordings for guided
meditation practice and were asked to keep track of how much time they practiced each day.
A set of MR brain images was also taken of a control group of nonmeditators over a similar
time interval.
Meditation group participants reported spending an average of 27 minutes each day
practicing mindfulness exercises, and their responses to a mindfulness questionnaire
indicated significant improvements compared with pre-participation responses. The analysis
of MR images, which focused on areas where meditation-associated differences were seen in
earlier studies, found increased gray-matter density in the hippocampus, known to be
important for learning and memory, and in structures associated with self-awareness,
compassion, and introspection.
Participant-reported reductions in stress also were correlated with decreased gray-matter
density in the amygdala, which is known to play an important role in anxiety and stress.
Although no change was seen in a self-awareness-associated structure called the insula,
which had been identified in earlier studies, the authors suggest that longer-term
meditation practice might be needed to produce changes in that area. None of these changes
were seen in the control group, indicating that they had not resulted merely from the
passage of time.
It is fascinating to see the brains plasticity and that, by practicing
meditation, we can play an active role in changing the brain and can increase our
well-being and quality of life, says Britta Hölzel, first author of the paper and a
research fellow at MGH and Giessen University in Germany. Other studies in different
patient populations have shown that meditation can make significant improvements in a
variety of symptoms, and we are now investigating the underlying mechanisms in the brain
that facilitate this change.
Mind and Meaning - Algorithms are not self-interpreting.
Something else, other than the ability to deal with non-algorithmic phenomena, is missing
from attempts to apply the Church-Turing-Deutsch model to the mind. All meaning is
stripped out of an algorithm before it can be processed by a machine, an operation known
as compilation. For example, the following two statements reduce to exactly the same
algorithm within the memory of a computer
(i) IF RoomLength * RoomWidth > CarpetArea THEN NeedMoreCarpet = TRUE
(ii) IF Audience * TicketPrice > HireOfVenue THEN AvoidedBankruptcy = TRUE
both, when compiled, will appear to the machine as an anonymous executable form such as
IF a*b > c THEN d=1
The computer will then perform the same internal operations whether its consequences are a
visit to the carpet store or an embarrassing surplus in Max Bialystocks bank
account.
Audience * TicketPrice > HireOfVenue |
John Searle's critique of
Computationalism
This critique of the possibility of machine intelligence has been further developed by
John Searle in the famous Chinese Room
Argument, which claims to demonstrate that a computer cannot understand what it is
doing or why.
So procedure and structure, no matter how programmed, or as implemented on any sort of
physical machine, are inadequate to describe the capabilities of human mental processes.
(See computationalism).
This limitation will not be solved by hardware improvements. No matter how many terabytes,
gigaflops, neural nets or iterations of Moore's law we throw at the problem of producing
artificial intelligence, the difficulties will remain insurmountable as long as the
hardware is only capable of dealing with truth values which can be treated as binary or
numeric, and as long as compilers strip out all meaning from the source code in order to
produce machine code.
But what other computer architecture is there?. Every computer is equivalent
to a Turing machine, which is itself a state-transition table coupled to a tape of
symbols, neither of which are capable of holding intrinsic meaning.
Towards a definition of non-physical mind.
So we are beginning to see a definition of Mind emerging from the limitations of the
Church Turing Thesis. The Mind is that which gives
meaning and is ultimately formless
and non-algorithmic.
Minds can perform algorithmic operations
such as mental arithmetic (though remarkably poorly compared with machines), and are
capable of perceiving structure, yet when both algorithms and structures are factored out
of mental processes, there remains a non-algorithmic residuum, which is a clear formless
awareness.
This foundational formless mind is without form itself, either as
datastructures, or as algorithmic operations expressed as structures such as state
transition tables and flowcharts.
Nevertheless, the mind can grasp, comprehend and give meaning to such external structures,
and also to structures of its own imaginative creation.
The mental faculty that creates algorithms in the mind of the scientist, analyst or
programmer ('The
Mother of all Algorithms') is probably itself partly intuitive and
nonalgorithmic.
.
Was Alan Turing a Buddhist?
Despite his Anglican background, it's unlikely that Turing was a Christian, or would have
been accepted by any church. He was persecuted
mercilessly by Christians because he was gay, (there were no Muslims around in Britain
at that time, or at least not enough to cause
a problem)
The fact that he ranked along Churchill and Eisenhower as one of the people who had done
most to defeat Hitler counted for nothing among the
religious establishment, who wanted him either
dead or castrated. In 1954 they
got what they wanted.
However, Alan Turing did seem to have sympathies with Buddhism. In his biography of Turing, Andrew
Hodges refers to a letter he wrote to the mother of his deceased boyfriend:
'He fell in unrequited love with Christopher Morcom, a very talented youth in the school
sixth form, and his longing for friendship brought him to communicate. A brief flowering
of scientific collaboration perished when Morcom suddenly died in February 1930. Turing's
correspondence with the dead boy's mother gives insight into the development of his ideas
in the aftermath. He was concerned to believe the dead boy could still exist in spirit,
and to reconcile such a belief with science. To this end he wrote for Mrs Morcom an essay,
probably in 1932. It is the private writing of a twenty-year-old, and must be read as
testament to background and not as a thesis upheld in public; nevertheless it is a key to
Turing's future development.
'It used to be supposed in Science that if everything was known about the Universe at any
particular moment then we can predict what it will be through all the future... More
modern science however has come to the conclusion that when we are dealing with atoms and
electrons we are quite unable to know the exact state of them; our instruments being made
of atoms and electrons themselves. The conception then of being able to know the exact
state of the universe then must really break down on the small scale. This means that the
theory which held that as eclipses etc. are predestined so were all our actions breaks
down too. We have a will which is able to determine the action of the atoms probably in a
small portion of the brain, or possibly all over it. The rest of the body acts so as to
amplify this...
In stating the classic paradox of physical determinism and freewill, Turing is influenced
by Eddington's assertion that quantum mechanical physics ('more modern science') yields
room for human will. Eddington asked how could 'this collection of ordinary atoms be a
thinking machine?' and Turing tries to find some answer. His essay goes on to espouse
belief in a spirit unconstrained by the body: 'when the body dies the 'mechanism' of the
body, holding the spirit is gone and the spirit finds a new body sooner or later perhaps
immediately.'