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| + | <font size="3">☞</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]]. |
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| '''Peirce's law''' is a formula in [[propositional calculus]] that is commonly expressed in the following form: | | '''Peirce's law''' is a formula in [[propositional calculus]] that is commonly expressed in the following form: |
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| ==Graphical proof== | | ==Graphical proof== |
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− | Under the existential interpretation of Peirce's [[logical graph]]s, Peirce's law is represented by means of the following formal equivalence or logical equation. | + | Under the existential interpretation of Peirce's [[logical graphs]], Peirce's law is represented by means of the following formal equivalence or logical equation. |
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| {| align="center" border="0" cellpadding="10" cellspacing="0" | | {| align="center" border="0" cellpadding="10" cellspacing="0" |
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| {| align="center" border="0" cellpadding="10" cellspacing="0" | | {| align="center" border="0" cellpadding="10" cellspacing="0" |
− | | [[Image:Peirce's Law Strong Form 1.0 Splash Page|500px]] || (4) | + | | [[Image:Peirce's Law Strong Form 1.0 Splash Page.png|500px]] || (4) |
| |} | | |} |
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| {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" | | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center" |
| |- | | |- |
− | | [[Image:Peirce's Law Strong form 2.0 Animation.gif]] | + | | [[Image:Peirce's Law Strong Form 2.0 Animation.gif]] |
| |} | | |} |
| | (6) | | | (6) |
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| * Peirce, Charles Sanders (1981–), ''Writings of Charles S. Peirce : A Chronological Edition'', Peirce Edition Project (eds.), Indiana University Press, Bloomington and Indianapolis, IN. Cited as (CE volume, page). | | * Peirce, Charles Sanders (1981–), ''Writings of Charles S. Peirce : A Chronological Edition'', Peirce Edition Project (eds.), Indiana University Press, Bloomington and Indianapolis, IN. Cited as (CE volume, page). |
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− | ==Related topics== | + | ==Syllabus== |
| + | |
| + | ===Focal nodes=== |
| + | |
| + | * [[Inquiry Live]] |
| + | * [[Logic Live]] |
| + | |
| + | ===Peer nodes=== |
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− | * [[Charles Sanders Peirce]] | + | * [http://intersci.ss.uci.edu/wiki/index.php/Peirce's_law Peirce's Law @ InterSciWiki] |
| + | * [http://mywikibiz.com/Peirce's_law Peirce's Law @ MyWikiBiz] |
| + | * [http://ref.subwiki.org/wiki/Peirce's_law Peirce's Law @ Subject Wikis] |
| + | * [http://en.wikiversity.org/wiki/Peirce's_law Peirce's Law @ Wikiversity] |
| + | * [http://beta.wikiversity.org/wiki/Peirce's_law Peirce's Law @ Wikiversity Beta] |
| + | |
| + | ===Logical operators=== |
| + | |
| + | {{col-begin}} |
| + | {{col-break}} |
| + | * [[Exclusive disjunction]] |
| + | * [[Logical conjunction]] |
| + | * [[Logical disjunction]] |
| + | * [[Logical equality]] |
| + | {{col-break}} |
| + | * [[Logical implication]] |
| + | * [[Logical NAND]] |
| + | * [[Logical NNOR]] |
| + | * [[Logical negation|Negation]] |
| + | {{col-end}} |
| + | |
| + | ===Related topics=== |
| + | |
| + | {{col-begin}} |
| + | {{col-break}} |
| + | * [[Ampheck]] |
| + | * [[Boolean domain]] |
| + | * [[Boolean function]] |
| + | * [[Boolean-valued function]] |
| + | * [[Differential logic]] |
| + | {{col-break}} |
| * [[Logical graph]] | | * [[Logical graph]] |
| + | * [[Minimal negation operator]] |
| + | * [[Multigrade operator]] |
| + | * [[Parametric operator]] |
| + | * [[Peirce's law]] |
| + | {{col-break}} |
| * [[Propositional calculus]] | | * [[Propositional calculus]] |
| + | * [[Sole sufficient operator]] |
| + | * [[Truth table]] |
| + | * [[Universe of discourse]] |
| * [[Zeroth order logic]] | | * [[Zeroth order logic]] |
| + | {{col-end}} |
| + | |
| + | ===Relational concepts=== |
| + | |
| + | {{col-begin}} |
| + | {{col-break}} |
| + | * [[Continuous predicate]] |
| + | * [[Hypostatic abstraction]] |
| + | * [[Logic of relatives]] |
| + | * [[Logical matrix]] |
| + | {{col-break}} |
| + | * [[Relation (mathematics)|Relation]] |
| + | * [[Relation composition]] |
| + | * [[Relation construction]] |
| + | * [[Relation reduction]] |
| + | {{col-break}} |
| + | * [[Relation theory]] |
| + | * [[Relative term]] |
| + | * [[Sign relation]] |
| + | * [[Triadic relation]] |
| + | {{col-end}} |
| + | |
| + | ===Information, Inquiry=== |
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− | ==Document history==
| + | {{col-begin}} |
| + | {{col-break}} |
| + | * [[Inquiry]] |
| + | * [[Dynamics of inquiry]] |
| + | {{col-break}} |
| + | * [[Semeiotic]] |
| + | * [[Logic of information]] |
| + | {{col-break}} |
| + | * [[Descriptive science]] |
| + | * [[Normative science]] |
| + | {{col-break}} |
| + | * [[Pragmatic maxim]] |
| + | * [[Truth theory]] |
| + | {{col-end}} |
| | | |
− | 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.
| + | ===Related articles=== |
| | | |
| {{col-begin}} | | {{col-begin}} |
| {{col-break}} | | {{col-break}} |
− | * [http://mywikibiz.com/Peirce's_law Peirce's Law], [http://mywikibiz.com/ MyWikiBiz] | + | * [http://intersci.ss.uci.edu/wiki/index.php/Cactus_Language Cactus Language] |
− | * [http://beta.wikiversity.org/wiki/Peirce's_law Peirce's Law], [http://beta.wikiversity.org/ Beta Wikiversity] | + | * [http://intersci.ss.uci.edu/wiki/index.php/Futures_Of_Logical_Graphs Futures Of Logical Graphs] |
− | * [http://planetmath.org/encyclopedia/PeircesLaw.html Peirce's Law], [http://planetmath.org/ PlanetMath] | + | * [http://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems] |
− | * [http://www.proofwiki.org/wiki/Peirce's_Law Peirce's Law], [http://www.proofwiki.org/ ProofWiki] | + | {{col-break}} |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_:_Introduction Differential Logic : Introduction] |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Differential_Propositional_Calculus Differential Propositional Calculus] |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Differential_Logic_and_Dynamic_Systems_2.0 Differential Logic and Dynamic Systems] |
| {{col-break}} | | {{col-break}} |
− | * [http://www.getwiki.net/-Peirce%92s_Law Peirce's Law], [http://www.getwiki.net/ GetWiki] | + | * [http://intersci.ss.uci.edu/wiki/index.php/Prospects_for_Inquiry_Driven_Systems Prospects for Inquiry Driven Systems] |
− | * [http://www.textop.org/wiki/index.php?title=Peirce's_law Peirce's Law], [http://www.textop.org/wiki/ Textop Wiki]
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Introduction_to_Inquiry_Driven_Systems Introduction to Inquiry Driven Systems] |
− | * [http://www.wikinfo.org/index.php?title=Peirce%92s_law&oldid=29173 Peirce's Law], [http://www.wikinfo.org/ Wikinfo] | + | * [http://intersci.ss.uci.edu/wiki/index.php/Inquiry_Driven_Systems Inquiry Driven Systems : Inquiry Into Inquiry] |
− | * [http://en.wikipedia.org/wiki/Peirce's_law Peirce's Law], [http://en.wikipedia.org/ Wikipedia] | |
| {{col-end}} | | {{col-end}} |
| + | |
| + | ==Document history== |
| + | |
| + | 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. |
| + | |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Peirce's_law Peirce's Law], [http://intersci.ss.uci.edu/ InterSciWiki] |
| + | * [http://mywikibiz.com/Peirce's_law Peirce's Law], [http://mywikibiz.com/ MyWikiBiz] |
| + | * [http://planetmath.org/PeircesLaw Peirce's Law], [http://planetmath.org/ PlanetMath] |
| + | * [http://wikinfo.org/w/index.php/Peirce's_law Peirce's Law], [http://www.wikinfo.org/w/ Wikinfo] |
| + | * [http://en.wikiversity.org/wiki/Peirce's_law Peirce's Law], [http://en.wikiversity.org/ Wikiversity] |
| + | * [http://beta.wikiversity.org/wiki/Peirce's_law Peirce's Law], [http://beta.wikiversity.org/ Wikiversity Beta] |
| + | * [http://en.wikipedia.org/w/index.php?title=Peirce's_law&oldid=60606482 Peirce's Law], [http://en.wikipedia.org/ Wikipedia] |
| + | |
| + | [[Category:Artificial Intelligence]] |
| + | [[Category:Charles Sanders Peirce]] |
| + | [[Category:Combinatorics]] |
| + | [[Category:Computer Science]] |
| + | [[Category:Cybernetics]] |
| + | [[Category:Equational Reasoning]] |
| + | [[Category:Formal Languages]] |
| + | [[Category:Formal Systems]] |
| + | [[Category:Graph Theory]] |
| + | [[Category:History of Logic]] |
| + | [[Category:History of Mathematics]] |
| + | [[Category:Inquiry]] |
| + | [[Category:Knowledge Representation]] |
| + | [[Category:Logic]] |
| + | [[Category:Logical Graphs]] |
| + | [[Category:Mathematics]] |
| + | [[Category:Philosophy]] |
| + | [[Category:Semiotics]] |
| + | [[Category:Visualization]] |