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<font size="3">&#9758;</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].
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A '''truth theory''' or a '''theory of truth''' is a [[conceptual framework]] that underlies a particular conception of [[truth]], such as those used in [[art]], [[ethics]], [[logic]], [[mathematics]], [[philosophy]], the [[science]]s, or any discussion that either mentions or makes use of a notion of truth.  A truth theory can be anything from a ''casual theory'', based on implicit, informal, and vaguely articulated ideas, to a ''[[formal theory]]'', constructed from explicit [[axiom]]s and [[definition]]s and developed by means of definite ''[[rules of inference]]''.  The scope of a truth theory can be restricted to tightly-controlled and well-bounded universes of discourse or its horizon may extend to the limits of the human imagination.
 
A '''truth theory''' or a '''theory of truth''' is a [[conceptual framework]] that underlies a particular conception of [[truth]], such as those used in [[art]], [[ethics]], [[logic]], [[mathematics]], [[philosophy]], the [[science]]s, or any discussion that either mentions or makes use of a notion of truth.  A truth theory can be anything from a ''casual theory'', based on implicit, informal, and vaguely articulated ideas, to a ''[[formal theory]]'', constructed from explicit [[axiom]]s and [[definition]]s and developed by means of definite ''[[rules of inference]]''.  The scope of a truth theory can be restricted to tightly-controlled and well-bounded universes of discourse or its horizon may extend to the limits of the human imagination.
    
==Truth in perspective==
 
==Truth in perspective==
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Notions of truth are notoriously difficult to disentangle from many of our most basic [[concept]]s — [[meaning]], [[reality]], and [[value (personal and cultural)|value]]s in general, to mention just a few.
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Notions of truth are notoriously difficult to disentangle from many of our most basic concepts &mdash; meaning, reality, and values in general, to mention just a few.
    
The subjects of meaning and truth are commonly treated together, the idea being that a thing must be meaningful before it can be true or false.  This association is found in ancient times, and has become standard in modern times under the heading of ''[[semantics]]'', especially ''[[formal semantics]]'' and ''[[model theory]]''.  Another association of longstanding interest is the relation between truth and ''[[logical validity]]'', "because the fundamental notion of logic is validity and this is definable in terms of truth and falsehood" (Kneale & Kneale, 16).  Though not the main subjects of this article, meaning and validity are truth's neighbors, and incidental inquiries of them can serve to cast light on truth's character.
 
The subjects of meaning and truth are commonly treated together, the idea being that a thing must be meaningful before it can be true or false.  This association is found in ancient times, and has become standard in modern times under the heading of ''[[semantics]]'', especially ''[[formal semantics]]'' and ''[[model theory]]''.  Another association of longstanding interest is the relation between truth and ''[[logical validity]]'', "because the fundamental notion of logic is validity and this is definable in terms of truth and falsehood" (Kneale & Kneale, 16).  Though not the main subjects of this article, meaning and validity are truth's neighbors, and incidental inquiries of them can serve to cast light on truth's character.
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===Nominal truth theories===
 
===Nominal truth theories===
{{main|Nominalism}}
      
A ''nominal truth'' theory is defined by the axiom that the concept ''truth'' is a mere name.  In traditional systems of logic, a concept is always a symbol, specifically, a mental symbol, and so the word ''mere'' in the nominal axiom says that ''truth'' is nothing more than a symbol.  One of the aims of nominal philosophies, generally speaking, is to clear away the conceptual clutter of excess metaphysical ideas through the searching examination of their verbal formulations.  Thus the question arises whether ''truth'' is one of the essentials or one of the excesses of rational thought.  One method of critical analysis that is commonly brought to bear at this juncture is based on the nominal corollary that if one can do without the word in every linguistic context, then one can do without the concept, which is after all nothing but the word.
 
A ''nominal truth'' theory is defined by the axiom that the concept ''truth'' is a mere name.  In traditional systems of logic, a concept is always a symbol, specifically, a mental symbol, and so the word ''mere'' in the nominal axiom says that ''truth'' is nothing more than a symbol.  One of the aims of nominal philosophies, generally speaking, is to clear away the conceptual clutter of excess metaphysical ideas through the searching examination of their verbal formulations.  Thus the question arises whether ''truth'' is one of the essentials or one of the excesses of rational thought.  One method of critical analysis that is commonly brought to bear at this juncture is based on the nominal corollary that if one can do without the word in every linguistic context, then one can do without the concept, which is after all nothing but the word.
    
===Real truth theories===
 
===Real truth theories===
{{main|Platonic realism}}
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{{sectstub}}
      
===Formal truth theories===
 
===Formal truth theories===
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* Williams, Bernard (2002), ''Truth and Truthfulness: An Essay in Genealogy'', Princeton University Press, Princeton, NJ.
 
* Williams, Bernard (2002), ''Truth and Truthfulness: An Essay in Genealogy'', Princeton University Press, Princeton, NJ.
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==See also==
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==Syllabus==
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===Focal nodes===
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* [[Inquiry Live]]
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* [[Logic Live]]
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{{col-end}}
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===Peer nodes===
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{{col-begin}}
 
{{col-begin}}
 
{{col-break}}
 
{{col-break}}
* [[Belief]]
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* [http://mywikibiz.com/Truth_theory Truth Theory @ MyWikiBiz]
* [[Confirmation holism]]
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* [http://mathweb.org/wiki/Truth_theory Truth Theory @ MathWeb Wiki]
* [[Honesty]]
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* [http://netknowledge.org/wiki/Truth_theory Truth Theory @ NetKnowledge]
* [[Inquiry]]
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{{col-break}}
* [[Knowledge]]
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* [http://wiki.oercommons.org/mediawiki/index.php/Truth_theory Truth Theory @ OER Commons]
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* [http://p2pfoundation.net/Truth_Theory Truth Theory @ P2P Foundation]
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* [http://semanticweb.org/wiki/Truth_theory Truth Theory @ SemanticWeb]
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{{col-end}}
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===Logical operators===
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{{col-break}}
 
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* [[Liar paradox]]
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* [[Exclusive disjunction]]
* [[Lie]]
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* [[Logical conjunction]]
* [[Lie-to-children]]
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* [[Logical disjunction]]
* [[Objectivity (philosophy)|Objectivity]]
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* [[Logical equality]]
* [[Relativism]]
   
{{col-break}}
 
{{col-break}}
* [[Slingshot argument]]
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* [[Logical implication]]
* [[Tabula rasa]]
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* [[Logical NAND]]
* [[Tautology (logic)]]
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* [[Logical NNOR]]
* [[Tautology (rhetoric)]]
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* [[Logical negation|Negation]]
* [[Unity of the proposition]]
   
{{col-end}}
 
{{col-end}}
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===Truth in logic and mathematics===
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===Related topics===
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{{col-break}}
 
{{col-break}}
 
* [[Ampheck]]
 
* [[Ampheck]]
* [[Boolean algebra]]
   
* [[Boolean domain]]
 
* [[Boolean domain]]
* [[Boolean logic]]
   
* [[Boolean function]]
 
* [[Boolean function]]
 
* [[Boolean-valued function]]
 
* [[Boolean-valued function]]
* [[Continuous predicate]]
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* [[Differential logic]]
* [[Entitative graph]]
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* [[Existential graph]]
   
{{col-break}}
 
{{col-break}}
* [[First-order logic]]
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* [[Hypostasis]]
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* [[Hypostatic abstraction]]
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* [[Hypostatic object]]
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* [[Intuitionistic logic]]
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* [[Laws of Form]]
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* [[Logic]]
   
* [[Logical graph]]
 
* [[Logical graph]]
* [[Logical value]]
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* [[Minimal negation operator]]
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* [[Multigrade operator]]
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* [[Parametric operator]]
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* [[Peirce's law]]
 
{{col-break}}
 
{{col-break}}
* [[Modal logic]]
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* [[Peirce's law]]
   
* [[Propositional calculus]]
 
* [[Propositional calculus]]
* [[T-schema]]
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* [[Sole sufficient operator]]
* [[Truth condition]]
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* [[Truth function]]
   
* [[Truth table]]
 
* [[Truth table]]
* [[Venn diagram]]
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* [[Universe of discourse]]
 
* [[Zeroth order logic]]
 
* [[Zeroth order logic]]
 
{{col-end}}
 
{{col-end}}
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===Theories of truth===
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===Relational concepts===
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{{col-begin}}
 
{{col-begin}}
 
{{col-break}}
 
{{col-break}}
* [[Coherentism]]
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* [[Continuous predicate]]
* [[Coherence theory of truth]]
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* [[Hypostatic abstraction]]
* [[Consensus theory of truth]]
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* [[Logic of relatives]]
* [[Correspondence theory of truth]]
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* [[Logical matrix]]
* [[Deflationary theory of truth]]
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{{col-break}}
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* [[Relation (mathematics)|Relation]]
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* [[Relation composition]]
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* [[Relation construction]]
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* [[Relation reduction]]
 
{{col-break}}
 
{{col-break}}
* [[Epistemic theories of truth]]
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* [[Relation theory]]
* [[Indefinability theory of truth]]
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* [[Relative term]]
* [[Pragmatic theory of truth]]
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* [[Sign relation]]
* [[Redundancy theory of truth]]
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* [[Triadic relation]]
* [[Semantic theory of truth]]
   
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{{col-end}}
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===Major theorists===
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===Information, Inquiry===
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{{col-begin}}
 
{{col-break}}
 
{{col-break}}
* [[Aristotle]]
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* [[Inquiry]]
* [[Thomas Aquinas]]
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* [[Dynamics of inquiry]]
* [[J.L. Austin]]
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{{col-break}}
* [[Brand Blanshard]]
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* [[Semeiotic]]
* [[John Dewey]]
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* [[Logic of information]]
* [[Hartry Field]]
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* [[Michel Foucault]]
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* [[Jürgen Habermas]]
   
{{col-break}}
 
{{col-break}}
* [[Paul Horwich]]
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* [[Descriptive science]]
* [[William James]]
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* [[Normative science]]
* [[Harold Joachim]]
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* [[Saul Kripke]]
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* [[Charles Sanders Peirce]]
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* [[Plato]]
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* [[Karl Popper]]
   
{{col-break}}
 
{{col-break}}
* [[W.V. Quine]]
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* [[Pragmatic maxim]]
* [[Frank P. Ramsey]]
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* [[Truth theory]]
* [[Bertrand Russell]]
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* [[Socrates]]
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* [[P.F. Strawson]]
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* [[Alfred Tarski]]
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* [[Ludwig Wittgenstein]]
   
{{col-end}}
 
{{col-end}}
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===Related articles===
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Semiotic_Information Jon Awbrey, &ldquo;Semiotic Information&rdquo;]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, &ldquo;Introduction To Inquiry Driven Systems&rdquo;]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Essays/Prospects_For_Inquiry_Driven_Systems Jon Awbrey, &ldquo;Prospects For Inquiry Driven Systems&rdquo;]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Inquiry_Driven_Systems Jon Awbrey, &ldquo;Inquiry Driven Systems : Inquiry Into Inquiry&rdquo;]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, &ldquo;Propositional Equation Reasoning Systems&rdquo;]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, &ldquo;Differential Logic : Introduction&rdquo;]
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* [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, &ldquo;Differential Propositional Calculus&rdquo;]
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* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0 Jon Awbrey, &ldquo;Differential Logic and Dynamic Systems&rdquo;]
    
==Document history==
 
==Document history==
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Portions of the above article were adapted from the following sources under the [[GNU Free Documentation License]], under other applicable licenses, or by permission of the copyright holders.
 
Portions of the above article were adapted from the following sources under the [[GNU Free Documentation License]], under other applicable licenses, or by permission of the copyright holders.
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* [http://www.getwiki.net/-Truth_Theory Truth theory], [http://www.getwiki.net/ GetWiki].
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* [http://mywikibiz.com/Truth_theory Truth Theory], [http://mywikibiz.com/ MyWikiBiz]
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* [http://mathweb.org/wiki/Truth_theory Truth Theory], [http://mathweb.org/wiki/ MathWeb Wiki]
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* [http://netknowledge.org/wiki/Truth_theory Truth Theory], [http://netknowledge.org/ NetKnowledge]
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{{col-break}}
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* [http://wiki.oercommons.org/mediawiki/index.php/Truth_theory Truth Theory], [http://wiki.oercommons.org/ OER Commons]
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* [http://p2pfoundation.net/Truth_Theory Truth Theory], [http://p2pfoundation.net/ P2P Foundation]
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* [http://semanticweb.org/wiki/Truth_theory Truth Theory], [http://semanticweb.org/ Semantic Web]
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{{col-break}}
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* [http://www.getwiki.net/-Truth_Theory Truth Theory], [http://www.getwiki.net/ GetWiki]
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* [http://wikinfo.org/index.php/Truth_theory Truth Theory], [http://wikinfo.org/index.php/Main_Page Wikinfo]
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* [http://textop.org/wiki/index.php?title=Truth_theory Truth Theory], [http://textop.org/wiki/ Textop Wiki]
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{{col-end}}
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* [http://wikinfo.org/index.php/Truth_theory Truth theory], [http://wikinfo.org/index.php/Main_Page Wikinfo].
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This article contains material from an earlier version of the former [http://en.wikipedia.org/ Wikipedia] article, &ldquo;Truth Theory&rdquo;, no longer extant. The Wikipedia article was deleted by Wikipedia administrators, replaced with a redirect to the Wikipedia article &ldquo;Truth&rdquo;, and its edit history was destroyed, in violation of the GNU Free Documentation License.  A record of the Wikipedia AFD (Article For Deletion) proceedings can be found at the following locations:
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* This article contains material from an earlier version of the former [[Wikipedia]] article, "Truth theory", no longer extant.  The Wikipedia article was deleted by Wikipedia adminstrators, replaced with a redirect to the Wikipedia article "Truth", and its edit history was destroyed, in violation of the GNU Free Documentation License.  A record of the Wikipedia AFD (Article For Deletion) proceedings can be found at the following locations:
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** [http://en.wikipedia.org/w/index.php?title=Wikipedia:Articles_for_deletion/Truth_theory&oldid=54630517 1st AFD proceeding].
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** [http://en.wikipedia.org/w/index.php?title=Wikipedia:Articles_for_deletion/Truth_theory%282%29&oldid=71295142 2nd AFD proceeding].
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* [http://en.wikipedia.org/w/index.php?title=Wikipedia:Articles_for_deletion/Truth_theory&oldid=54630517 1st AFD proceeding]
** [http://en.wikipedia.org/w/index.php?title=Wikipedia:Articles_for_deletion/Truth_theory_%283rd_nomination%29&oldid=81774680 3rd AFD proceeding].
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* [http://en.wikipedia.org/w/index.php?title=Wikipedia:Articles_for_deletion/Truth_theory(2)&oldid=71295142 2nd AFD proceeding]
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* [http://en.wikipedia.org/w/index.php?title=Wikipedia:Articles_for_deletion/Truth_theory_(3rd_nomination)&oldid=81774680 3rd AFD proceeding]
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{{col-end}}
    
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[[Category:Inquiry]]
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[[Category:Open Educational Resource]]
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[[Category:Peer Educational Resource]]
 
[[Category:Artificial Intelligence]]
 
[[Category:Artificial Intelligence]]
 
[[Category:Critical Thinking]]
 
[[Category:Critical Thinking]]
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[[Category:Hermeneutics]]
 
[[Category:Hermeneutics]]
 
[[Category:Information Systems]]
 
[[Category:Information Systems]]
[[Category:Inquiry]]
   
[[Category:Intelligence Amplification]]
 
[[Category:Intelligence Amplification]]
 
[[Category:Learning Organizations]]
 
[[Category:Learning Organizations]]
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