Towards an Algebraic Explication of Quantity
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2020-08-17 20:19
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DRUGUS, Ioachim. Towards an Algebraic Explication of Quantity. In: Conference on Mathematical Foundations of Informatics, Ed. 2017, 9-11 noiembrie 2017, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2017, pp. 65-70. ISBN 978‐9975‐4237‐6‐2.
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Conference on Mathematical Foundations of Informatics 2017
Conferința "Conference on Mathematical Foundations of Informatics"
2017, Chișinău, Moldova, 9-11 noiembrie 2017

Towards an Algebraic Explication of Quantity


Pag. 65-70

Drugus Ioachim
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 19 martie 2018


Rezumat

There are two aspects of quantity, which in natural languages manifest as \mass-count distinction" { one treated by measure theory, and the other treated by arithmetic. However, a mathematical structure explicating the notion of quantity under both these aspects sounds to be missing in literature. To _ll this gap, in current paper a class of universal algebras called \metrologic algebras" are introduced, which explicate both aspects of quantity, and treat them on a common basis.

Cuvinte-cheie
generalized Boolean algebra, measure theory, mass-count distinction,

metrology