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1. • CommentRowNumber1.
   • CommentAuthorStephan A Spahn
   • CommentTimeAug 6th 2012
   • PermaLink
   Author: Stephan A Spahn
   Format: MarkdownItexThe nlab contains in total five pages with ''information'' in the page name. The articles [[semiotic information]] and [[Peirce's logic of information]] have been transferred to the [Salon de Refusés](http://mywikibiz.com/Main_Page). Two of the remaining pages are concerned with statistical information theory, one with [[quantum information]]. Since I felt that an overview article was lacking I created [[information theory]]. Admittedly the main reason for me doing this was to have a page pointing to [[Spahn:Giuseppe Primiero, information and knowledge - a constructive type-theoretical approach]] which in turn I created to give some impression of the constructive-type-theoretical information theory developed in this book and to obtain some comments on it. Summarized in one sentence the mathematical aspect of this CTT-information theory (as I understand it at the moment), which is presented in chapter 3 of the book, is to introduce in constructive type theory *context formation rules* and *environment formation rules* and to invoke the ''calculus of contexts and environments'' (originating in some unpublished lectures by Martin-Löf held in 1991) and calling extensions $\Gamma\leftarrow \Delta$ of contexts constructed in this way to be *informational updatings*.

   The nlab contains in total five pages with ”information” in the page name. The articles semiotic information and Peirce’s logic of information have been transferred to the Salon de Refusés. Two of the remaining pages are concerned with statistical information theory, one with quantum information. Since I felt that an overview article was lacking I created information theory.

   Admittedly the main reason for me doing this was to have a page pointing to Giuseppe Primiero, information and knowledge - a constructive type-theoretical approach (spahn) which in turn I created to give some impression of the constructive-type-theoretical information theory developed in this book and to obtain some comments on it.

   Summarized in one sentence the mathematical aspect of this CTT-information theory (as I understand it at the moment), which is presented in chapter 3 of the book, is to introduce in constructive type theory context formation rules and environment formation rules and to invoke the ”calculus of contexts and environments” (originating in some unpublished lectures by Martin-Löf held in 1991) and calling extensions $\Gamma\leftarrow \Delta$ of contexts constructed in this way to be informational updatings.