Armahedi Mahzar (c) 2015
In my previous blog,
I was telling you a my story of logic in a subjective perspective. In
the end of the story I invite readers to join my new egroup
holologics@yahogroups.com. Well, what is holologics? Holologics is a
study of logics as parts of an integral whole as an abstract object
LOGIC in the subspace of the Platonic mathematical space of numbers and
forms. It seems that the object LOGIC is a network of logics as abstract
system in the ideal world of Plato. Its realizations in material world
had been emerging as parts of the development of human civilization in
response to technological revolutions.
Firstly, logic as a science was studied verbally by Aristotle 
who symbolized the terms of a syllogism with letters. Structurally, a
syllogism can be seen as three propositions containing three types of
letter each one is occuring once in each proposition. The first pair of
proposition is called premises and the last proposition is called
conclusion. I will call Aristotlean logic as logologic as the concise
term for word logic. The logological revolution followed the
agricultural urban revolution.
In the nineteenth century George Boole 
make a revolutionary step in logic by replacing words of aristotle with mathematical symbols so every propositions is expressed by an algebraic equations, and reasoning become eliminations of variables in a system of equations. I will call such algebraic method as algologic as concise term for algebraic logic. The algological revolution is following the mechanical industrial revolution.
make a revolutionary step in logic by replacing words of aristotle with mathematical symbols so every propositions is expressed by an algebraic equations, and reasoning become eliminations of variables in a system of equations. I will call such algebraic method as algologic as concise term for algebraic logic. The algological revolution is following the mechanical industrial revolution.
Charles Sanders Peirce 
and Gottlob Frege 
make another revolution when they represented any logical expressions
as diagrams in two dimensional space. Peirce used circles 
and Gottlob Frege used trees 
. Later, George Spencer-Brown 
used crosses
and Louis Kauffman 
used boxes
as parts of their expressions of logical propositions. I will call such
method as pictologic as the concise term of pictorial logic.
Pictological revolution was following the electrical industrial
revolution.
make another revolution when they represented any logical expressions
as diagrams in two dimensional space. Peirce used circles and Gottlob Frege used trees . Later, George Spencer-Brown used crosses
and Louis Kauffman used boxes
as parts of their expressions of logical propositions. I will call such
method as pictologic as the concise term of pictorial logic.
Pictological revolution was following the electrical industrial
revolution.
Inspired by pictologic which still used letters as representation of
variable, I replaced letters with the pictures of colored objects to
create what I called as objective logic algebra 
. Calculating logic with objective algebra, I am inspired to replace
boxes and trees with real objects like cards and sticks to transform the
algebras of logic into games of thing 
. I will call my three dimensional method as hylologic as the concise
term for object logic. Hylological revolution is following informational
electronic revolution.
. Calculating logic with objective algebra, I am inspired to replace
boxes and trees with real objects like cards and sticks to transform the
algebras of logic into games of thing
. I will call my three dimensional method as hylologic as the concise
term for object logic. Hylological revolution is following informational
electronic revolution.
I think my discovery is only a last step in the chain of a long
tradition of doing logic with devices. John Venn 
the discoverer of Venn
method used movable parts of wooden ellipses
. William Stanley Jevons 
created a logical piano 
to reason with syllogism. Allan Marquand
. William Stanley Jevons
the discoverer of Venn
method used movable parts of wooden ellipses
. William Stanley Jevons created a logical piano to reason with syllogism. Allan Marquand. William Stanley Jevons
improved Jevon’s machine to make his own logical machine 
. Peirce transformed Marquand mechanical machine into an electromagnetic logical machine 
. Today we have computers as a logical machines.
Logologic, algologic, pictologic and hylologic are representations of
the abstract logic. As I see it now, the process of realization seems to
be following a path of methodological simplification. You are invited to join the logic
REVOLUTION :)
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