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On an analog of the peirce decomposition
Siberian Mathematical Journal, 1999Using the Jordan analogs of annihilators, the author gives equivalent algebraic conditions each of which may serve as a definition of \(AJW\)-algebra. Some theorem is established that replaces Albert's theorem in the case of general \(JB\)-algebras and generalizes the latter to some extent.
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2011
In 1904 Huntington [6] conjectured that every uniquely complemented lattice must be distributive (and hence a Boolean algebra). In 1945,R.P.Dilworth shattered this conjecture by proving that every lattice can be embedded in a uniquely complemented lattice [5].
Lixia Song, Haisheng Liu, Yang Shu
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In 1904 Huntington [6] conjectured that every uniquely complemented lattice must be distributive (and hence a Boolean algebra). In 1945,R.P.Dilworth shattered this conjecture by proving that every lattice can be embedded in a uniquely complemented lattice [5].
Lixia Song, Haisheng Liu, Yang Shu
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Peirce on Education: Discussion of Peirce’s Definition of a University
Studies in Philosophy and Education, 2005I write this short essay in response to Peirce, as a feminist, pragmatist, and cultural studies scholar, in the hope that it will help to bring feminism and pragmatism together. I suggest that Peirce offers marginalized and colonized people a way to argue for the importance of their input, with his theory of fallibilism, even if he still claims a ...
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2007
Charles Sanders Peirce often emphasized the importance of iconic representations in all cognition. After addressing some general issues about the analysis of iconic representation, the paper examines the cognitive role of diagrammatic representations, and explores the implications for his theory of perception of Peirce's claim that ideas are like ...
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Charles Sanders Peirce often emphasized the importance of iconic representations in all cognition. After addressing some general issues about the analysis of iconic representation, the paper examines the cognitive role of diagrammatic representations, and explores the implications for his theory of perception of Peirce's claim that ideas are like ...
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