Difference between revisions of "Name"
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The word: [[Name]], may be thought of as a kind of number, which may or may not be related to certain quantity. However, by just having a name, such as <math>\empty</math>, it already implied the connotation of cardinality and ordinality in a greater context. | The word: [[Name]], may be thought of as a kind of number, which may or may not be related to certain quantity. However, by just having a name, such as <math>\empty</math>, it already implied the connotation of cardinality and ordinality in a greater context. | ||
=Name as a Kind of Number= | =Name as a Kind of Number= | ||
In number theory, or in mathematics in general, a [[name]] can be adopted as a static or [[invariant]] symbol to represent a discrete [[number]], or even just a discrete concept. As [[Keith Devlin]] eloquently puts it, [[name]]s, or [[number]]s, in mathematics, make invisible, visible<ref>{{:Video/1. General Overview and the Development of Numbers}}</ref>. | In number theory, or in mathematics in general, a [[name]] can be adopted as a static or [[invariant]] symbol to represent a discrete [[number]], or even just a discrete concept. As [[Keith Devlin]] eloquently puts it, [[name]]s, or [[number]]s, in mathematics, make invisible, visible<ref>{{:Video/1. General Overview and the Development of Numbers}}</ref>. Moreover, based on [[Bob Coecke]]'s work on[[Quantum Natural Language Processing]]<ref>{{:Paper/Mathematical Foundations for a Compositional Distributional Model of Meaning}}</ref>, words can be composed into sentences, and they are computable according to a set of [[rewrite rule]]s, similar to numbers can be composed into mathematical expressions, and they are also computable, according to the definition of [[mathematical operator]]s. | ||
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|pk49iM9OT_0 | |pk49iM9OT_0 | ||
Revision as of 11:04, 21 March 2022
The word: Name, may be thought of as a kind of number, which may or may not be related to certain quantity. However, by just having a name, such as , it already implied the connotation of cardinality and ordinality in a greater context.
Name as a Kind of Number
In number theory, or in mathematics in general, a name can be adopted as a static or invariant symbol to represent a discrete number, or even just a discrete concept. As Keith Devlin eloquently puts it, names, or numbers, in mathematics, make invisible, visible[1]. Moreover, based on Bob Coecke's work onQuantum Natural Language Processing[2], words can be composed into sentences, and they are computable according to a set of rewrite rules, similar to numbers can be composed into mathematical expressions, and they are also computable, according to the definition of mathematical operators. {{#ev:youtube |pk49iM9OT_0 }}
References
- ↑ Devlin, Keith (Dec 12, 2012). 1. General Overview and the Development of Numbers. Mathematics: make the invisible visible. local page: Stanford.
- ↑ Coecke, Bob; Sadrzadeh, Mehrnoosh; Clark, Stephen (Mar 23, 2010). Mathematical Foundations for a Compositional Distributional Model of Meaning (PDF). local page: arXiv.