
Traces the relationship between the development of computing machines and our knowledge of brain functioning, and introduces corresponding mathematical models designed to describe this relationship. Begins with a historical overview tracing the rise of cybernetics to the current interchange of ideas between AI and brain theory. Subsequent chapters introduce neural sets and finite automata, the crucial cybernetic concepts of feedback and realization, pattern recognition networks, "semi-neural" learning networks, capabilities of Turing machines and automata which construct as well as compute. The final chapter presents two accessible proofs of Gödel's Incompleteness Theorem.
This book investigates the historical and theoretical intersection between the evolution of computing machines and the biological mechanisms of the human brain. Author Michael A. Arbib, a prominent figure in brain theory and artificial intelligence, utilizes a framework of cybernetics to bridge the gap between neurobiology and computational logic. He argues that mathematical modeling provides the necessary language to formalize the relationship between neural activity and machine intelligence.
What You Will Find
Scope Limits
Experts recognize this work as a foundational text that successfully synthesizes early cybernetic theory with biological brain models. Readers frequently note the academic density of the prose, which requires a solid background in mathematics to fully grasp the formal proofs and automata theory presented.
Page Count:
163
Publication Date:
1965-01-01
Publisher:
McGraw-Hill
ISBN-10:
0070021716
ISBN-13:
9780070021716
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