📄 Extracted Text (1,819 words)
From: "Noam Chomsky"
To: "Jeffrey E." <[email protected]>
Subject: RE: Re:
Date: Tue, 09 Jun 2015 13:28:43 +0000
Inline-Images: image00 1 .jpg
Sorry, but I don't follow. Insect navigation is a study of a living system, and the work that IN familiar with studies it as a
computational system. If there's a better way of analyzing it, well and good: the scientists working on the topic would be
glad to see it. Outside observers like me too.
At another level of analysis, insect navigation is a sensory-motor process in physical space.
There's no semantic error that aware of. Studying systems at various levels of abstraction has been standard science
for centuries. A particular framework that's been widely adopted in the cognitive sciences is Marr's, but other ways of
looking at it are of course possible.
I looked at Gromov's paper, but didn't read it carefully. He uses set theory freely throughout, and I don't see anything
that bears on matrices as mathematical objects or on the use of recursive function theory for computational systems like
language where it is appropriate. Maybe, as he suggests, some results would follow from studying these topics in the
framework he develops, but as always, that has to be shown. For example, Eilenberg's category-theoretic reanalysis of
work on finite automata that I and others had done, including very good and respected mathematician's like
Schutzenberger, apparently had some mathematical interest (so I am told), but no results were suggested that had any
implications for the empirical objects that originally motivated the mathematical studies. That's not unusual in math and
the physical sciences.
From: jeffrey E. [[email protected]]
Sent: Tuesday, June 09, 2015 7:10 AM
To: Noam Chomsky
Subject: Re: Re:
thats cheating .. Is the study of how it dances really a study of the living systen? or is merely the sensory
motor display in phyiscal space. if you admit it being the latter , my dismal knowledge of language requires
the expert to suggest , was the mistake a "semantic error' ? haha.. 2. the bee takes the space time vector and
using poloarization and other inputs, to merely express in in other domains its result. a phenomenological trivial
event. wouldnt pointing and saying" over there". be as trivial . if you do point and speak , isn't that a merging
of the" two" languages . neither concatenation or distance . ??
I attach a gromov paper. his apology to the reader on page 26 , i think elegantly explains some of the new
difficulties.
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7;7' Daily0Mirror
CHOTISTS RACE
PI TRAP 30,000
On Tue, Jun 9, 2015 at 12:49 AM, Noam Chomsky < > wrote:
It's quite true that computer modelling of living systems is often misused, but it's often used quite effectively. In the
case of language, what has been used effectively is the theory of computability-recursive function theory, which
provides basic and appropriate tools. It's also been used effectively to study insect navigation and much else.
I wonder if the nuzanmirre is still around.
From: jeffrey E. [mailto:[email protected]
Sent: Monday, June 08, 2015 10:57 PM
To: Noam Chomsky
Subject: Re: Re:
This all needs exposition. sorry. the computer model for living systems has not led to many conherent
theories. it does gets misued all the time however, . the simplest of questions , why does a cell have a
symmetrical shape. extremely complex computations were attempted . did the lipids attract. ? if so with what
force. ? did the area need to enclose the greatest volume. . we now know that it is nothing more than the
most probable shape , given the statistical ensemble available to it. nothing more. . quantum would attempt to
explain it by suggesting the moleucules took every shape they could and decided on the spherical one.. I
smile everytime I think of your perception that there was a magazine called nuzanmirrer.
On Mon, Jun 8, 2015 at 10:17 PM, Noam Chomsky > wrote:
It's absolutely true that for study of choice of action, the computer model is not helpful at all. That's something I've
been arguing for many decades, in opposition to most physicists these days, who claim that choice of action reduces
to determinacy and randomness (i.e., programmable). I think it may have come up in the Krauss discussion. I also
discussed it again in my Dewey lectures in the J. of Philosophy in December 2013.
I don't frankly see how the Schrodinger analogy helps in this case.
To clarify, the people I mentioned weren't students working on computers. Rather, professional mathematicians and
physicists. The two who have been attending seminars for many years, and have published in areas very closely
related to my work, are a mathematician and quantum physicist at Northeastern.
Noam
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From: Jeffrey E. [mailto:[email protected]
Sent: Monday, June 08, 2015 9:57 PM
To: Noam Chomsky
Subject: Re:
brain as a computer? as silly as artificial intelligence., The simple example I teach re quantum is when i
try to decide should i order fish or meat. for the moment before I order ( as you an I agree ms before i even
am concious of ordering. ) both choices like schroedingers cat exist as a superpostioned wave function that
collapses and a choice is made. . yes i am taking liberties.. the students you referred to you suggest are
working on computers, not very odd that they might see you I language conforming to their pre perceptions
On Mon, Jun 8, 2015 at 9:41 PM, Noam Chomsky > wrote:
I have a VERY thick skin, and love to hear criticism. One of the best ways to learn. And I've often given up closely
held beliefs on the basis of persuasive argumentation. But in this case, I just don't see the arguments.
It's true that the mathematics lacks rigor, but that's for the same reason that publications in professional math
journals lack rigor. The steps that are not spelled out are straightforward enough so that they can be easily filled
in. I don't know of any problems about set theory, apart from the classic ones. Some version of set theory is
presupposed in every branch of math, including category theory. As for the brain as a computer,. not sure what
you see as the problem. The papers I sent you do assume that 1-language is a computational system, with the
properties mentioned, easily formalized. I don't know of any coherent alternative. Actually, very good
professional mathematicians and physicists, one working primarily on quantum computers, have attended my
regular seminars for years, but I've never heard a suggestion as to how mathematical ideas used in quantum
theory would be relevant to systems of the kind we're considering. The "displacement conjecture" is, in fact, an
immediate consequence of what would be the best possible theory if it's true: SMT, in particular, the assumption
that the basic combinatorial operation is the simplest one possible. Merge is simply set-formation, presupposed
in all of mathematics. I agree that it's naive, if by that you mean very simple, arguably optimally so. But hasn't
that been the pretty explicit goal of science, at least since Galileo, quantum theory included? like to hear the
objections, and hope to learn from them.
Noam
From: jeffrey E. [[email protected]
Sent: Monday, June 08, 2015 3:07 PM
To: Noam Chomsky
Subject:
I will take your word that you share my thick skin for criticism and share a strange pleasure in learning,
even if it means having to accept that some formerly closely held beliefs might need strong correction.
I have no particular knowledge re politics or history, so I will never offer an opinion. however re
mathematics and or money , I feel on strong ground. That being said, thought puzzles in the paper are
brilliant and insightful. the mathematical descriptions lack rigor , and the metaphors suffer from the
common science limitation of trying to describe things using the engineering metaphors or the tools of
the moment.ex. The human or its brain as a computer ., set theory . It was popular in the early 20th as
you know to describe the body as an electric machine.. the mathematics used today in quantum show
more promise , as it attempts to describe things that appear counter intuitive. or difficult to comprehend , (
your displacement conjecture) your simple X and Y , Merge , is quite naive and unfortunately
incorrect.
2. from the paper you sent. ; a much more elegant way of conveying what i had failed to do re sentences
and money
European structuralism commonly adopted the Saussurean conception of language ( MONEY) (in the
relevant sense) as a social entity; as Saussure put it, a storehouse of word images ( values ) in the brains
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of a collectivity of individuals founded on a "sort of contract."
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confidential, may be attorney-client privileged, may
constitute inside information, and is intended only for
the use of the addressee. It is the property of
JEE
Unauthorized use, disclosure or copying of this
communication or any part thereof is strictly prohibited
and may be unlawful. If you have received this
communication in error, please notify us immediately by
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destroy this communication and all copies thereof,
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please note
The information contained in this communication is
confidential, may be attorney-client privileged, may
constitute inside information, and is intended only for
the use of the addressee. It is the property of
JEE
Unauthorized use, disclosure or copying of this
communication or any part thereof is strictly prohibited
and may be unlawful. If you have received this
communication in error, please notify us immediately by
return e-mail or by e-mail to [email protected], and
destroy this communication and all copies thereof,
including all attachments. copyright -all rights reserved
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