Introduction to Theory of Musical Technology before Music

nobuyasu sakonda

English translation by Christopher Stevens


3: Beyond the Computer

Xebec "Sound Arts" vol.17 (1998)

Japanese text



By taking as our point of departure the premise that technology is a "way of seeing," which is neither a means to an end nor does it have a large-scale concrete appearance, we have encountered the symbolic aspects of technology as "sign" and "machine." In addition, we have seen that though it has assisted human beings in their pursuit of rationality, technology in itself is not rational and is a concealed form of faith. Today the sign and machine have been absorbed into a new category of knowledge known as "information." What has in the past been called "knowledge" is now called "information." The theme of this article is computers, my interest is not however in that white object made of durable plastic in front of me, but in something beyond it. Because, as a specialized information device, the computer is similar to the crest of a wave that appears in a transient form here and there in a large sea of information.


  • The Universal Myth and the Gaze of God
  • Before we continue with the subject of computers, I would like to look at the cyclic movement of social ideology that has often repeated itself. In talking about computers, the reason that the true character of the computer fails to appear at all no matter how closely we examine the technological aspects is in fact related to shortcomings in the history of thought.

    Whether it be ancient myth, religion, modern science, each is a language system that explains what the world is. Within the universal worldview that each professes, these systems save human beings from the fundamental fear that a world full of meaning will fall into chaos. The era during which people lived in peace as part of an "grand worldview" that was relatively stable has passed, and in modern times, a variety of universalities have blossomed and the curtain opened on a period of rivalries between them. Scholarship has become increasingly specialized in individual fields, each exclusive of the others, and translation between them has become impossible. In each system, a ruling theory is victorious and explains the world. It doesn't take long for cracks, or contradictions, to appear in the system, leading to another theory that attempts to find a solution to the contradictions on a higher metalevel. This cycle then continues. It goes without saying that mathematics and physics are the most refined examples of this process.

    These two language systems occupy a metalevel in the various fields of learning that make up science and created the framework that have bound the rivalries of universal myths since the modern era.

    At the beginning of this century, this framework, the ultimate matrix of Western logos, was finally subject to a thorough investigation. Physics attempted to compose a theory of particle physics that would find the ultimate particle that composes the world. Symbolic logic attempted to clearly document and control the ultimate "logic" that as a whole must obey the overall work of intelligence known as the "logical"--the very thing that forms the fundaments of mathematics. This became a journey to an even higher metalevel. Transferring the focus to a metalevel ensured a transparent system, and as the system became dangerously muddled, the focus was retrained on another metalevel. The power that supports this dynamism is none other than the desire to explain totally the whole of Creation with an ultimate principle and to recognize it completely; that is, the desire to be unified with the gaze of God.
  • The Turing Machine and the Computer
  • For all of its magnificent intentions, and simultaneous profundity and plainness, symbolic logic never matured to the point that anyone outside of the field of philosophy could easily approach it. It never had the power as a form of thought to attract the attention of the times. As an added insult, the fact that "there is no such thing as a system without contradictions" in the world of mathematics didn't improve the situation, and reduced symbolic logic, which appears to simply be a kind of game played with symbols (signs) that are incomprehensible to common people, to a kind of mystical discipline. Despite this, the most profound part shortly thereafter escaped the control of philosophers and proceeded down the path toward practical use.

    In 1936 Alan TURING invented a mathematical model for a possible ideal machine that could be operated with all types of signs. Approximately ten years later, John von NEUMANN gave shape to Turing's model by creating an actual machine using vacuum tubes. Since that time, the computer has developed until the present without any substantial alterations or revisions. The mechanical parts that dealt with logical circuitry changed from vacuum tubes to silicon chips, and despite the fact that performance speed has approached that of light, the essence of the computer has never superseded the Turing Machine. The reason for this is that due to a finite number of rules, no more than one discrete sign can be changed at a time.

    The Turing Machine is a conception of a machine that activates operating rules by reading marks that are printed on an unrestricted length of paper tape and making new marks to move the tape to a variety of optional positions. The machine is that simple, but in theory it has the ability to perform any kind of logical operation. It wasn't, however, Turing's goal to create a convenient, practical calculator. His intention was to mathematically demonstrate that there are mathematical propositions that are impossible to prove; in other words, there are problems to which no answer would be found even if the tape spun around forever and there are rules that can't be figured into the Turing Machine. What this process indicates, however, is that at the core of logic based on logical thought, including mathematics, is actually nothing more than an extremely simple sign operation. These processes are purely formal; in other words, mechanical. Even in Turing's case there was already an expansive maze of symbolic logic, but the heart and finite nature of Western logos, which had taken over 1,000 years to mature, had in this way been abbreviated to a mechanical operation of simple signs. Neumann, then, took the next decisive step by giving concrete form to this blueprint.
    Therefore, despite its original objective as a way of calculating the firing distance of artillery shells, the computer is not a machine that was designed for mathematical calculation. In computers, fundamental arithmetical calculations such as addition are carried out using logical circuits such as AND, OR, and NOT. This is the true essence of a logical machine. The profound philosophical question that symbolic logic, which positioned logic on the foundations of mathematics, set out to become was given concrete shape by the development of a machine, guided neither by mathematicians nor philosophers, and handed over to a group of people called technicians.
  • Doing Business with the Gods
  • The embodiment of logic in that substance called the electric circuit may in one sense have been a kind of business transaction concerning truth between the gods and humans. Unconsciously, mathematicians and physicists came to believe that the signs of God that were stamped upon the world like a book should be deciphered, and that if there was a decipherable code, it could be documented in an extremely simple form. In this faith, simplicity was beautiful and mystical, and it guaranteed perfection and universality. This decipherable code should be able to be grasped through the amassing of precise logical steps and the intuition of divine revelation as realized in the thoughts of a selected genius (shaman).

    But the computer dragged down the entire work of intelligence to a concrete and level ground. For example, because the computer can only deal with binary numbers, irrational numbers such as √2 must be changed to real numbers. No matter how many digits are placed to the right of the decimal point, an error will necessarily follow. Neither can the computer handle the concept of the infinite. After a perfect triangle as it resides in the world of ideas in the heavens falls to earth we must be content with a distorted version of the triangle fraught with error. The perfect, transparent space that is structured on even ground for mathematicians and theorists to contemplate becomes a physical space that includes the finite and error in the computer.

    So why are computers used? Computers can carry out at high speed enormous steps that would take longer than a human life to calculate. Intuition, like a revelation guided by truth, overwhelms the concrete performance of serial astronomical operations of complicated differential equations. In exchange for overlooking the perfection of god, human beings got their hands on an approximation of godly time and speed that they could never hope to live themselves. Mathematicians and physicists began to use the computer as a tool to solve a particular traditional problem. However, what actual occurred was a crucial change in which the computer established the problems it should have handled as part of fundamental learning, determined a kind of approach and a finite world to go with it, and decided a format for the solutions. After experiencing the self-destruction of the system, mathematics developed algorithms to reduce errors and increase the effectiveness of the calculation process, and refocused its research objectives. Mathematics began putting its energy into achieving perfection. But with the realization that this would never be possible, it resorted to working for an imperfect machine. After experiencing the self-destruction of the system in the process of investigating its own perfection, mathematics could find no field of spirited research other than developing algorithms to reduce errors and increase the effectiveness of the calculation process for an imperfect machine.
  • Rearrangement of Knowledge
  • The same situation that occurred in mathematics and physics soon created ripples in other fields. An overall rearrangement of knowledge soon got underway. The profusion of the universal has again begun to move from a new uniform focus to unification. Soon the hierarchy of learning, which was modeled on the practical activities of physics with mathematics as the fundamental language, will fall into ruins. The concept of information and the cybernetic general theory of communication have encouraged common language and methods not only in natural science, but in a variety of fields, and theories of the past have been converted into this new language. Mathematics, physics, biology, economics, sociology, political science among other activities involving intelligence (with a multidirectional focus on and explanation of the world) linked to each other with a translatable language. This is the rewriting of the universal myth.

    However, what is actually happening is merely that all knowledge is being changed into signs that go by the name of information and are loaded into machines. It is still only "merely." As we have seen, the computer merely exchanges one discrete sign with another at the same time due to a finite number of rules. Despite this, within the word "merely," an epistemological event of great significance to civilization is concealed in the act of instantly changing one language system into another. Is this the new metamyth? What exactly does the concept of information explain, provide, prevent?




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