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von Neumann, 1966 — Theory of Self-Reproducing Automata

von Neumann, J. (1966). Theory of Self-Reproducing Automata. Edited by Arthur W. Burks. University of Illinois Press, Urbana, IL. Lectures delivered 1948–1952. Burks assembled the manuscript posthumously. A machine can contain its own

The Source

von Neumann, J. (1966). Theory of Self-Reproducing Automata. Edited by Arthur W. Burks. University of Illinois Press, Urbana, IL. Lectures delivered 1948–1952. Burks assembled the manuscript posthumously.

The Claim

A machine can contain its own description. It reads the description. It builds a copy of itself. It copies the description into the copy. Self-reference is not a paradox. It is a construction manual.

The Context

The Macy conferences had just ended. [SOURCE:wiener-1948|type:theoretical] Wiener mapped feedback. [SOURCE:shannon-1948|type:theoretical] Shannon mapped information. [SOURCE:turing-1936|type:mathematical] Turing mapped computability. Von Neumann asked the next question. What machine builds itself? Biology already knew the answer. Watson and Crick published DNA in 1953. Von Neumann's lectures preceded that discovery. He deduced self-replication from logic. Not from cells. The Hixon Symposium launched the inquiry. The 1966 book delivered the architecture.

The Evidence

Von Neumann designed a 29-state cellular automaton. It contained a universal constructor. The constructor read a tape describing itself. It built a duplicate body. It copied the tape into the duplicate. The process iterated without bound. Complexity emerged from simple rules. The blueprint was separate from the builder. This separation mapped onto DNA and ribosomes. Genetic information is the tape. Protein synthesis is the constructor. Von Neumann proved this before biologists saw it.

The Convergence

This source instantiates C08. Recursion / Self-Reference / Strange Loops. [SOURCE:godel-1931|type:mathematical] Gödel showed self-reference creates undecidability. [SOURCE:turing-1936|type:mathematical] Turing showed self-reference creates computation. Von Neumann showed self-reference creates life. Three domains. One pattern. Self-description produces complexity. The grain runs from logic through machines into biology. No domain owns the patent. It maps to axioms A12 and A8.

The Honest Limits

Von Neumann never saw DNA operate. He inferred the mechanism. His automaton required 200,000 cells. Real cells use chemistry. Not discrete states. The model ignored thermodynamic cost. [SOURCE:prigogine-1977|type:theoretical] Prigogine later supplied the energy accounting. [SOURCE:england-2013|type:theoretical] England later supplied the statistical physics. The blueprint-copying assumed perfect fidelity. Mutation was not in the model. Evolution requires error. Von Neumann's replicator was static. Life is not.

The Receipt

"One obtains a very specifically constructed automaton which can execute the orders which are listed on a description, and which can also duplicate this description, inserting the copy into the duplicated automaton."

— von Neumann (1966), Theory of Self-Reproducing Automata, Burks edition.

Related Sources

References (7)