Intelligence and Reasoning

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(Analysis in Symbolic Logic)
(Functional Breakdown)
 
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| Measure
 
| Measure
 
| [[Inductive Regression|Inductive Regression]]
 
| [[Inductive Regression|Inductive Regression]]
| [[Inductive Inference|Inductive Inference]]
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| [[Symbolic Logic:Learning:Inductive Inference|Inductive Inference]]
 
|-
 
|-
 
|  
 
|  
 
| Search
 
| Search
 
| [[Gradient Descent|Gradient Descent]], [[Neural Net|Neural Net]]
 
| [[Gradient Descent|Gradient Descent]], [[Neural Net|Neural Net]]
| [[Symbolic Replacement|Symbolic Replacement]]
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| [[Symbolic Logic:Learning:Symbolic Replacement|Symbolic Replacement]], [[Symbolic Logic:Learning:Hierarchical Object Classification|Object Classification]]
 
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| Analysis
 
| Analysis
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| Search
 
| Search
 
| Simulation of Possible Outcomes
 
| Simulation of Possible Outcomes
| [[Axiom Theorem Systems|Axiom Theorem Systems]]
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| [[Symbolic Logic:Analysis:Axiom Theorem Systems|Axiom Theorem Systems]]
 
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| Search
 
| Search
 
| [[Gradient Descent|Gradient Descent]], [[Neural Net|Neural Net]]
 
| [[Gradient Descent|Gradient Descent]], [[Neural Net|Neural Net]]
| [[Symbolic Logic Systems|Symbolic Logic Systems]]
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| [[Symbolic Logic:Programming|Symbolic Logic Programming]]
 
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===== Symbolic Learning =====
 
===== Symbolic Learning =====
  
For symbolic learning we know that compression may be achieved by the replacement of repeated symbols by strings of symbols.  These replacement rules can then be compared to create second order replacement rules (replacement rules applied to replacement rules).  By applying these rules with a particular set of restrictions, second order replacement rules can be used to implement variables.
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For symbolic learning we know that compression may be achieved by the replacement of repeated symbols by strings of symbols.  These replacement rules can then be compared, using the [http://en.wikipedia.org/wiki/Diff difference algorithm], to create second order replacement rules (replacement rules applied to replacement rules).  By applying these rules with a particular set of restrictions, second order replacement rules can be used to implement variables.
  
 
Replacement along with second order replacement forms a simple univeral language of logic.  By writing some rules it is possible to define mathematics.
 
Replacement along with second order replacement forms a simple univeral language of logic.  By writing some rules it is possible to define mathematics.

Latest revision as of 07:07, 26 November 2011

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