When1: 1944
When2: 1958
Who: John von Neumann [Neumann, John von]
What: mathematician
Where: Germany/USA
works\ Theory of Games and Economic Behavior [1944 and 1953: with Oskar Morgenstern]; Probabilistic Logics [1952]; Mathematical Foundations of Quantum Mechanics [1932]; Computer and the Brain [1958]
Detail: He lived 1903 to 1957.
In logic, he studied empirical logic, logic with uncertainty, error, and logical-net errors and helped develop quantum logic, with Birkhoff and Mackey.
In computing, he studied linear programming and electronic digital-computer theory and developed first digital computer [1946], called ENIAC. Multiple connections between elements allow system to operate, even if some units fail {multiplexing, Neumann}. Multiple lines can provide multiplexing.
In biology, he studied finite automata as central-nervous-system models.
In geometry, he showed how to use general eigenvalue theory for axiomatic Hilbert spaces and operators.
In game theory, he studied zero-sum games, strategy, Colonel Blotto game, minimax theorem, utility function, prisoner's dilemma, competition, and cooperation. Game theory involves decision-making when conditions are uncertain.
Set theory does not allow sets {paradoxical set, Neumann} to be their own elements {Foundation axiom, Neumann}.
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Date Modified: 2022.0224