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The '''logic of information''', or the ''logical theory of information'', considers the information content of logical signs — everything from bits to books and beyond — along the lines initially developed by [[Charles Sanders Peirce]].  In this line of development the concept of information serves to integrate the aspects of logical signs that are separately covered by the concepts of [[denotation]] and [[connotation]], or, in roughly equivalent terms, by the concepts of [[extension]] and [[comprehension (logic)|comprehension]].

The '''logic of information''', or the ''logical theory of information'', considers the information content of logical [[semiotics|signs]] — everything from bits to books and beyond — along the lines initially developed by [[Charles Sanders Peirce]].  In this line of development the concept of information serves to integrate the aspects of logical signs that are separately covered by the concepts of [[denotation]] and [[connotation]], or, in roughly equivalent terms, by the concepts of [[extension]] and [[comprehension (logic)|comprehension]].

Peirce began to develop these ideas in his lectures "On the Logic of Science" at [[Harvard University]] (1865) and the [[Lowell Institute]] (1866).  Here is one of the starting points:

Peirce began to develop these ideas in his lectures "On the Logic of Science" at [[Harvard University]] (1865) and the [[Lowell Institute]] (1866).  Here is one of the starting points:

<p>Let us now return to the information.  The information of a term is the measure of its superfluous [[comprehension (logic)|comprehension]].  That is to say that the proper office of the comprehension is to determine the [[extension (semantics)|extension]] of the term.  For instance, you and I are men because we possess those attributes — having two legs, being rational, &tc. — which make up the comprehension of ''man''.  Every addition to the comprehension of a term lessens its extension up to a certain point, after that further additions increase the information instead.</p>

<p>Let us now return to the information.  The information of a term is the measure of its superfluous [[comprehension (logic)|comprehension]].  That is to say that the proper office of the comprehension is to determine the [[extension (semantics)|extension]] of the term.  For instance, you and I are men because we possess those attributes — having two legs, being rational, &tc. — which make up the comprehension of ''man''.  Every addition to the comprehension of a term lessens its extension up to a certain point, after that further additions increase the information instead.</p>

<p>Thus information measures the superfluous comprehension.  And, hence, whenever we make a symbol to express any thing or any attribute we cannot make it so empty that it shall have no superfluous comprehension.  I am going, next, to show that inference is symbolization and that the puzzle of the validity of scientific inference lies merely in this superfluous comprehension and is therefore entirely removed by a consideration of the laws of ''information''.  (C.S. Peirce, "The Logic of Science, or, Induction and Hypothesis" (1866), CE 1, 467).</p>

<p>Thus information measures the superfluous comprehension.  And, hence, whenever we make a symbol to express any thing or any attribute we cannot make it so empty that it shall have no superfluous comprehension.  I am going, next, to show that inference is symbolization and that the puzzle of the validity of scientific inference lies merely in this superfluous comprehension and is therefore entirely removed by a consideration of the laws of ''information''.  (C.S. Peirce, "The Logic of Science, or, Induction and Hypothesis" (1866), CE 1, 467).</p>

==References==

==References==

==See also==

==See also==

{|

 

{{col-begin}}

* [[Information theory]]

* [[Information theory]]

* [[Inquiry]]

* [[Inquiry]]

* [[Pragmatic theory of information]]

* [[Pragmatic theory of information]]

* [[Pragmatic theory of truth]]

* [[Pragmatic theory of truth]]

* [[Pragmaticism]]

* [[Pragmaticism]]

* [[Pragmatism]]

* [[Pragmatism]]

* [[Semeiotic]]

* [[Semeiotic]]

* [[Semiosis]]

* [[Semiosis]]

* [[Semiotics]]

* [[Semiotics]]

* [[Semiotic information theory]]

* [[Semiotic information theory]]

* [[Sign relational complex]]

* [[Sign relational complex]]

* [[Triadic relation]]

* [[Triadic relation]]

|}

{{col-end}}

==External links==

==External links==