THE TURING MACHINE AND WHAT COMPUTERS
CAN AND CANNOT DO
A lecture by
Valdemar W. Setzer
Dept. of Computer Science, Univ. of São Paulo, Brazil
www.ime.usp.br/~vwsetzer
– this version: 11/18/21
See the abstract
and the ppt
presentation of this lecture
ASSESSMENTS BY PARTICIPANTS
1. Nov. 14, 2021, remote lecture for the MysTech organization, and
interested people. Info: Andrew Linnell jandrewtogetherlinnell att gmail
dot com. Questions: [1] What were the most important things that you have
learned? [2] What are the biggest remaining doubts? [3] Comments. [4]
What is your degree of satisfaction with this lecture? (1 - very unsatisfied,
5 - very satisfied: 5 - 66.7%; 4 - 8.3%; 3 - 25%).
[5] Did you learn new things? (YR yes, relevant: 75%, YN yes, not relevant:
0%; NO 25%). My comments are preceeded by COMM.
- [1] A better understanding of how TMs and computers actually process
symbols. [2] That the form of consciousness in or behind computers is
not understood. [3] It was implied that TMs/computers have no sensation
nor higher consciousness. Yet even we cannot share our actual sensations
with others. The best we can do is point to an object in the material
world (an orange) and indicate that as the sensation-bringer (sweet
like an orange). If our sensations are met through the symbols
of the material/maya world (mouth, orange) then might not another being
meet sensation in the TM/computer? And express a slighty higher bit
of consciousness in the response? [4] 3. [5] NO. COMM.: In fact,
consciousness is not scientifically understood, independently of computer
models. As for sensations, I said that they are absolutely individual
and subjective; computers are not individual, they are universal machines,
and are objective. A computer may receive a chemical analysis of the
orange, and conclude and display that it is "sweet". But it
does not feel anything, it does not feel the sweteness. The computer's
reaction cannot be called "consciousness". All this pressuposes
the common understanding of "feeling" and "consciousness".
If they are defined as some formal calculation, or symbol manipulation,
then what a computer does can be called "feeling" and "consciousness"
but this has nothing to do with our corresponding experiences. As for
item [5], I am surprised that this person didn't learn anything new.
S/he declared that how machines process symbols! And how about my theory
of how "something" non-physical may act upon the physical
world? (By choosing one state transition among different physically
non-deterministic transitions.) I thought my theory sas original. Please
send me some information about it if you have found it somewhere.
- (This assessment was received by e-mail. The distribuition among the
first 3 items and the answers [4] and [5] are abitrary. [1] TM's finite
number of discrete states. [2] Why not see the leaf as TM? Everything
is leaf. Everything is TM--and through this simplicity manifoldness
becomes possible, ie., the states? Why not see an archetypal digital
phenomenon? See the leaf (TM) in conjunction with outer manifestations
-- (seed leaf, sepal, corolla; calyx, corolla, stamens, pistil; sprouting,
blooming, bearing fruit; germination, growth, transformation of organs,
nourishment, propagation -- as processes of metamorphosis --- as different
forms -- as the states? To see the sensible-supersensible process in
it's idea (TM) - as the same in all computer functions --states -- yet
taking different forms? [3] I was struck by the comment by Rogerio Santos
that conveyed: "TM is the archetype of all digital machines."
It resonated with Goethe's archetypal phenomenon (Urphaenomen) or archetypal
plant. [4] 5. [5] YR. COMM.: TMs are discrete machines, each
one using an infinite tape. I don't thing the "real" world
is discrete. Note that quantum mechanics detects quanta in experiments
that change "reality". We don't experience that the matter
is quantified, unless for separate objects. We experience our thoughts
and feelings as continuous phenomena. A pencil is a leaf? This is not
our common understanding of them. At each "instant" a leaf
is in a certain state, encompassing the states of all its parts. A change
from one such state to the next takes some time; state changes in TMs
don't take any time, because they are not physical. The TM is an idea,
and as such is supersensible! The TM is the archetype of all computers
because from it one can derive the latter -- in the same way as Goethe
said that from his archetypical plant he coud derive all plants. The
big difference is that computers are physically implemented mathematical
devices, and plants are living beings.
- [1] that the subject matter hasn't changed since I first encountered
it 50 years ago. [2] none. [3] It was a great privilege to relive material
that launched my career in information science, at the end of my career.
thanks!. [4] 5. [5] YR. COMM.: Did you learn my philosophical
considerations 50 years ago? Certainly the TM has not changed - but
maybe my way of presenting it was original. BTW, did you learn at that
time that the TM uses just one type of instruction? I have not found
such a consideration elsewhere.
- [1] The illustration of the Turing Machine and the idea that computers
cannot do math. [2] How to meet this rapidly developing technology of
extended reality and the forces driving it in a way that allows for
humanity to continue to evolve toward undetermined freedom. [3] Imagine
a world where AI controlled virtual reality has become so pervasive
that nearly the entirely of humanity is unaware of the physical world
in the way in which the vast majority of people in the world today are
unaware of the spiritual world. Physical reality in this world would
be a myth. In a similar way to what you might hear about an ancient
Yogi meditating and experiencing spiritual reality that was real, in
fact more real even than physical reality. You could imagine that some
people might claim to have experienced physical reality and that it
was more real than virtual reality. I find this thought somewhat terrifying,
but at the same time I think as a thought experiment it could help some
very intelligent and well intentioned people who cannot find room for
the spiritual world in their scientific world view to bridge the gap.
[4] 5. [5] YR. COMM.: Be careful, the only thing computers do
is just math (as symbol manipulation), nothing else. In terms of math,
as I said it is a restricted one, discrete and finite. I think people
should meet the rapid technological development by knowing what it is
and its impact on nature and humankind, and developing personal self-control.
For a good use of any technology, I think one has to have: 1. Knowledge;
2. Discernment; 3. Self-knowledge; 4. Self-control. I don't think humankind
will become unaware of the physical world. The body of every person
is physical! The ancient Yogi you refer to was not capable of observing
the physical world with the precision we do today, so for him his spiritual
observations were more real. And we normally lost the capacity for spiritual
observation. (But people don't realize that they are doing this constantly,
when they assign a concept to any observed object.) Asimov has an interesting
story in the far future where somebody discovers how to do additions
and multiplications by hand
- [1] How a Turing machine works. [2] Is it possible to keep children
isolated from computers in today's world?. [3] I've know about Turing
and his contribution to defeating the Nazis and how little he was given
recognition, but was not aware as to why. There are a few eurorack modules
called turing machine and I was curious about the similarities. [4]
5. [5] YR. COMM.: Yes, it is possible to isolate children from
computers, video games and the internet - at least at home and in the
school. It is almost impossible to do it with adolescents, and that
is a tragedy. But these are the topics of another two-session lecture,
"Electronic media and education, at home and in the school, and
Waldorf Education: problems and solutions." In it I present about
20 problems and 20 solutions. Thanks for mentioning Eurorack, I didn't
know it.
- [1-2] {Empty}. [3] I am sorry to say the subject matter was way too
technical for me to follow so I left early. But I am glad if others
could follow. The presentation was very well organized. [4] 3. [5] NO.
COMM.: Maybe if you would continue you would have profited from
the philosophical considerations. Now try to download the ppt presentation
and examine it carefully. It was intended for people with no formal
or mathematical knowledge. I used the TM because it is easily understandable;
if I would have used computers, it would be difficult to describe precisely
how they work in terms of the circuitry. It would be possible to introduce
what a basic machine language is (in presence lectures, I do it through
a theater play that the participants perform, simulating how a computer
logically works), but it would take too much time.
- [1] What a Turing machine is/. [2] {Empty}. [3] Looking forward to
next lecture. [4] 3. [5] YR.
- [1] As a former system analyst working for IBM and teaching computer
science and programming at a college in Copenhagen, much of the thinking
behind what you covered was familiar. However I was surprised to hear
about the archetypal computer, the Turing machine, and delighted of
its simplicity with one type of instruction. It was fascinating to learn
that there was nothing a computer can do that the Turing machine couldn't.
If there was an algorithm to solve, the Turing machine could do it with
one type of instruction! WOW. You explained it so very well and very
clearly. You were very articulated. [2] I do not have any questions
at this point, rather subjects for conversation as, 'What are the implications
of digital control for our free spiritual, social and economic life.'
I look forward to attending your presentation in January. Thank you
very much, [3] The presentation and links are very organized. [4] 5.
[5] YR. COMM.: Any external control in relation to each individual
goes against free spiritual life. Digital control would be the worst
control, without any compassion and understanding. Economic life needs
planning, and there some digital control may be used, but always as
an indication, and not taking decisions. Computers don't make decisions,
they make logical choices.
- [1] Throughout your talk I appreciated how you made a distinction
to not humanize computers in describing different functions, ex. wrong
to say a computer "reads" rather say "recognizes".
I would love to hear more examples of this! I will go over the lecture
as some of the technical explanations of the TM went over my non-mathematical,
non-technical head! Yet, I could follow your clear descriptions!. [2]
Not a doubt but would like more explanation regarding "essence"
as spoken of in Philosophy of Freedom, as you related to "fundamental
essence of any computer". [3] I look forward to reading (or hearing
your lectures!) regarding the importance of waiting till age 17 for
use of computers. I look forward to other times we can hear you share!
Thank you, it was a wonderful lecture. [4] 5. [5] YR. COMM.:
In fact, "recognition" involves some data processing, which
is not done by the head. Maybe I should have used "input/output"
for the head functions. Other examples of undue computing anthropomorphic
expressions: "memory", "artificial intelligence",
"machine learning", "computers process information"
(should be "process data"; data are absorbed by humans as
information when they are understood. See my paper "Data,
information, knowledge and competency")
- [1] detailed explanation of the Turing Machine, and how a virtual
computer works. [2] . [3] I work with computers and have studied the
basics of computer programming. If I had heard this lecture 30 years
ago I could write programs in Python or C with ease. [4] 5. [5] YR.
COMM.: "Virtual computer" or "virtual machine"
is an expression used for programs that simulate a computer. Probably
a better expression for the Turing Machine would be "abstract computer".
I was surprised to read your comment that the knowledge of the TM would
have helped you to write programs in computer languages with ease. The
programming tricks used in TMs, as the ones I illustrated when I described
how to solve the exercises, are in general different from tricks used
in programming languages. Speaking about Python, give a look at my "cheat
sheet" for it, unfortunately in Portuguese, but you may use
the examples, and an automatic translator for the texts google
translator does a fairly good job to and from English.
- [1] Not sure. To get a bit of a historical context was good (but I
haven't really 'learned it' yet). [2] I wonder whether - if through
some form of indeterminism of the quantum computer - intelligence of
a different kind might occupy or use the machine. Of course, that might
not be as 'incorporated' as the human being's intelligence and being.
And it does not give the machine a real life. But it might be still
a horrible experience. [3] I thought that the technical side was possibly
a bit long - although I can understand that it would need even more
time to give a real understanding of it (I learned some of it at school
when programming our first computer (in about 1971). I would have preferred
to go into the consequences of people thinking this way. What might
be the good effect of a very conscientious planning of these machine
processes, and what do we do to bring that into a healthy relationship
to the real tasks of the human being...? Learning new things was not
my intention; I never saw the computer as intelligent - and programming
as a very tedious exercise for phlegmatics who can stay forever on the
same problem.... (you are surely not one). And how relevant it is, I
cannot judge. [4] 4. [5] NO. COMM.: Quantum computers just increase
the speed with which some algorithms are processed. They must be deterministic
as far as the results are concerned. I have some doubts in terms of
quantum computers they need to work in cryogenic temperatures to avoid
noise, they are too sensible to noise. Furthermore, their results, e.g.
many possible passwords, have to be used linearly, one at a time, and
not in parallel. As for the way people think, there is a great danger
that people get addicted to the algorithmic way of thinking. Any use
of a computer forces algorithmic thinking. The use of computers should
be compensated with artistic activities and a strong meditative life.
See my paper "Art
as an antidote to 'computer thinking' " As for your answering
NO to the question about having learned somethink new, please see my
comments to the 6th assessment.
- [1] I found the information on the workings of the Turing machine
very beneficial to understand. I love his slide on what humans can do,
that computers cannot; and vice versa. [2] Not doubts as such, but I
believe our understanding of computing and our corresponding need to
address our understanding of the planet and its crystalline crust will
lead to some interesting higher level developments. (like the return
of Atlantian tech) I believe we will come to understand silicon better.
In the 'short term' era in maybe about 10 yrs time, (when we have seen
more of today's 'world' collapse) for our betterment, over and after,
I m sure we ll be held accountable for misuse, and subject to the consequences.
In other words, Different to today s AI perception and imaginings, although
they are paving a path towards something new. [3] Was worthwhile, thankyou.
[4] 5. [5] YR. COMM.: I think one can only use electronic media
properly if one has a knowledge of the spiritual aspects of humans and
nature in general, as well enough knowledge how technology works and
its impacts. For instance, in the late 60's there were no scientific
studies concerning the ill effects of TV, but my spiritual knowledge
led me to decide not to have a TV at home - the best gift I gave my
children. BTW, Steiner characterized materialism as a sickness. With
a materialist view of the world, the use of electronic media and technology
in general is turning nature and humankind into sick entities.
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