A logical calculus of the ideas immanent in nervous activity. (English) Zbl 0063.03860

Summary: Because of the “all-or-none” character of nervous activity, neural events and the relations among them can be treated by means of propositional logic. It is found that the behavior of every net can be described in these terms, with the addition of more complicated logical means for nets containing circles; and that for any logical expression satisfying certain conditions, one can find a net behaving in the fashion it describes. It is shown that many particular choices among possible neurophysiological assumptions are equivalent, in the sense that for every net behaving under one assumption, there exists another net which behaves under the other and gives the same results, although perhaps not in the same time. Various applications of the calculus are discussed.


92B20 Neural networks for/in biological studies, artificial life and related topics
Full Text: DOI


[1] Carnap, R. 1938.The Logical Syntax of Language. New York: Harcourt, Brace and Company. · JFM 63.0820.05
[2] Hilbert, D., und Ackermann, W. 1927.Grundüge der Theoretischen Logik. Berlin: J. Springer. · JFM 64.0026.05
[3] Russell, B., and Whitehead, A. N. 1925.Principa Mathematica. Cambridge: Cambridge University Press.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.