Mathematical logic | Non-classical logic | Systems of formal logic

Quantum logic

In the mathematical study of logic and the physical analysis of quantum foundations, quantum logic is a set of rules for manipulation of propositions inspired by the structure of quantum theory. The field takes as its starting point an observation of Garrett Birkhoff and John von Neumann, that the structure of experimental tests in classical mechanics forms a Boolean algebra, but the structure of experimental tests in quantum mechanics forms a much more complicated structure. Quantum logic has been proposed as the correct logic for propositional inference generally, most notably by the philosopher Hilary Putnam, at least at one point in his career. This thesis was an important ingredient in Putnam's 1968 paper "Is Logic Empirical?" in which he analysed the epistemological status of the rules of propositional logic. Modern philosophers reject quantum logic as a basis for reasoning, because it lacks a material conditional; a common alternative is the system of linear logic, of which quantum logic is a fragment. Mathematically, quantum logic is formulated by weakening the distributive law for a Boolean algebra, resulting in an orthocomplemented lattice. Quantum-mechanical observables and states can be defined in terms of functions on or to the lattice, giving an alternate formalism for quantum computations. (Wikipedia).

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Quantum Theory - Full Documentary HD

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Quantum Mechanics 1.1: Introduction

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From playlist Quantum Mechanics

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From playlist Quantum Physics

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From playlist Quantum computing

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From playlist Quantum Mechanics

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From playlist Quantum Field Theory

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Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: Quantum Mechanics

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From playlist Explainers

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From playlist Mathematics

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From playlist Wolfram Technology Conference 2022

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From playlist Physics

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From playlist Physics

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From playlist Adiabatic Quantum Computing Conference 2016

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From playlist US-India Advanced Studies Institute: Classical and Quantum Information

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From playlist Conversations with Special Guests

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From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

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