User:Faustnh/On the definition of Information

On a definition of Information. Faustino Núñez Hernández ( Currently under revision ) &#62; Main sub-definition:


 * 1º &#62; Matter is repetition or instantiation (entropy).


 * 2º &#62; Information is a pattern or class that repeats.


 * 3º &#62; Information of matter, or information about matter, is the minimum possible size, maximum possible compression, minimum possible repetition or redundancy (maximum possible difference), or simplest possible state, of matter.


 * 4º &#62; Information is differentiation, inequality, variation, transformation.

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Derived sub-definitions:

&#62; Derived sub-definition 1: Information is a logical sequence " A &rArr; B ". That is, given only or single A, then B is also given, or can be found.


 * Important clarifications about this sub-definition:


 * &#62; 1º) Given " A &rArr; B ", then:


 * &#62;    Separate or isolated A is NOT information;


 * &#62;    "  &rArr;  " IS information;


 * &#62;    "  &rArr; B  " IS information;


 * <p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">&#62;    Separate or isolated " B " IS information ( B as a set );


 * <p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">&#62;    " A &rArr; B " IS information.


 * <p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">&#62; 2º) In this sense, information means:


 * <p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">&#62;  Set, association, grouping, (plurality, multiplicity; wholeness, whole; not part, not component; not oneness, not uniqueness); relation, connection;


 * <p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">&#62;  Form (not matter);


 * <p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">&#62;  Consequence, effect (not cause).


 * <p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">&#62;  Output (not input).

<p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">&#62; Derived sub-definition 2: Information is a set or combination " { A, B } ". That is, given only or single A, then the whole set or combination " { A, B } " is also given, or can be found.

<p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">&#62; Derived sub-definition 3, "proximity definition": Given { A, B }, then A is information about B, and B is information about A.

<p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">&#62; Derived sub-definition 4 : considering information as differentiation or inequality, then information is given by the set of the differentiated or inequal things or objects : { A , B }.

<p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">( NOTE : two separate sets have to be different for holding information, for example , { { A , B } , { A , C } } ).

<p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">In the particular case of physical processes of the logical form " A &rArr; B ", information ( Form ) is the set { A, B } ( where A and B are Matter ).

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<p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">&#62; A possible interpretation of Second Law of Thermodynamics, from the point of view of the definition of information given here:


 * <p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">Information ( Form ) can't be recycled within a subuniverse smaller than the whole universe.

<p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">Derived inference:


 * <p style="padding-left:15px;padding-top:18px;font: Arial;font-size:115%;text-indent:-15px;line-height:180%;">As Form can be recycled, the Second Law of Thermodynamics can be reversed . -->