Difference between revisions of "Universality"
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Another way to talk about universaily, is to think of it as a way to express the most ideal situation for representing certain concepts<ref>{{:Video/Daniel Beskin- Category Theory as a Tool for Thought- λC 2019}}</ref>. | Another way to talk about universaily, is to think of it as a way to express the most ideal situation for representing certain concepts<ref>{{:Video/Daniel Beskin- Category Theory as a Tool for Thought- λC 2019}}</ref>. | ||
==Namespace Management as a way to represent Idea Space== | |||
For the purpose of representability, using concrete names to denote ideas is a necessary practice. However, the practical matter of managing namespaces at large can be challenging. Therefore, using a general purpose namespace management tool, such as [[Mediawiki]], can be a pragmatic solution. Clearly, the notion of Wiki is not just about the database, but also the integrative features that comes with its browser-friendly nature, so that everyone, and anywhere can all be using this namespace management infrastructure, therefore, it is universal. | |||
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Revision as of 13:51, 26 January 2022
| Universality | |
|---|---|
| Term | Universal |
| Knowledge Domain | Science, Mathematics, Mathematical Logic |
| Parent Domain | Cognitive Science |
Universal, Universality or Universal Property are technical terms defined in Mathematical Logic as a property that applies to all cases in a domain explicitly represented by a fixed, often finite set of symbols. A short statement about Universality can be found on page 131 of Davey and Priestly [1]. More over, Eugene Wigner's talk on The Unreasonable Effectiveness of Mathematics in the Natural Sciences[2], is also a good place to get a sense of universality.
Universal Constructs
There is a data type called: Partially ordered set, or POSet, being considered as the universal data type for all representables.
Idealized Space
Another way to talk about universaily, is to think of it as a way to express the most ideal situation for representing certain concepts[3].
Namespace Management as a way to represent Idea Space
For the purpose of representability, using concrete names to denote ideas is a necessary practice. However, the practical matter of managing namespaces at large can be challenging. Therefore, using a general purpose namespace management tool, such as Mediawiki, can be a pragmatic solution. Clearly, the notion of Wiki is not just about the database, but also the integrative features that comes with its browser-friendly nature, so that everyone, and anywhere can all be using this namespace management infrastructure, therefore, it is universal.
References
- ↑ B. A. Davey, H. A. Priestley, Introduction to Lattices and Order, Second Edition, Cambridge University Press, May 6, 2002, P. 131
- ↑ Wigner, E. P. (1960). "The unreasonable effectiveness of mathematics in the natural sciences. Richard Courant lecture in mathematical sciences delivered at New York University, May 11, 1959". Communications on Pure and Applied Mathematics. local page. 13: 1–14. Bibcode:1960CPAM...13....1W. doi:10.1002/cpa.3160130102. Archived from the original on 2020-02-12.
- ↑ Beskin, Daniel (Apr 19, 2020). Daniel Beskin- Category Theory as a Tool for Thought- λC 2019. local page: LambdaConf.