Line 1: |
Line 1: |
− | '''Differential logic''' is the component of [[logic]] whose object is the successful description of variation — for example, the aspects of change, difference, distribution, and diversity — in universes of discourse that are subject to logical description. In [[formal logic]], differential logic treats the principles that govern the use of a ''differential logical calculus'', that is, a [[formal system]] with the expressive capacity to describe change and diversity in logical universes of discourse.
| + | <font size="3">☞</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]]. |
| | | |
− | A simple example of a differential logical calculus is furnished by '''differential propositional calculus'''. This augments ordinary [[propositional calculus]] in the same way that the [[differential calculus]] of [[Leibniz]] and [[Newton]] augments the [[analytic geometry]] of [[Descartes]].
| + | '''Differential logic''' is the component of logic whose object is the successful description of variation — for example, the aspects of change, difference, distribution, and diversity — in [[universes of discourse]] that are subject to logical description. In formal logic, differential logic treats the principles that govern the use of a ''differential logical calculus'', that is, a formal system with the expressive capacity to describe change and diversity in logical universes of discourse. |
| | | |
− | ==Readings==
| + | A simple example of a differential logical calculus is furnished by a [[differential propositional calculus]]. This augments ordinary [[propositional calculus]] in the same way that the differential calculus of Leibniz and Newton augments the analytic geometry of Descartes. |
| | | |
− | * [[Directory:Jon Awbrey/Papers/Differential Logic and Dynamic Systems|Differential Logic and Dynamic Systems]]
| + | ==Syllabus== |
| | | |
− | {{aficionados}}<sharethis />
| + | ===Focal nodes=== |
| | | |
| + | * [[Inquiry Live]] |
| + | * [[Logic Live]] |
| + | |
| + | ===Peer nodes=== |
| + | |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Differential_logic Differential Logic @ InterSciWiki] |
| + | * [http://mywikibiz.com/Differential_logic Differential Logic @ MyWikiBiz] |
| + | * [http://ref.subwiki.org/wiki/Differential_logic Differential Logic @ Subject Wikis] |
| + | * [http://en.wikiversity.org/wiki/Differential_logic Differential Logic @ Wikiversity] |
| + | * [http://beta.wikiversity.org/wiki/Differential_logic Differential Logic @ 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]] |
| + | * [[Minimal negation operator]] |
| + | * [[Multigrade operator]] |
| + | * [[Parametric operator]] |
| + | * [[Peirce's law]] |
| + | {{col-break}} |
| + | * [[Propositional calculus]] |
| + | * [[Sole sufficient operator]] |
| + | * [[Truth table]] |
| + | * [[Universe of discourse]] |
| + | * [[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=== |
| + | |
| + | {{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}} |
| + | |
| + | ===Related articles=== |
| + | |
| + | {{col-begin}} |
| + | {{col-break}} |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Cactus_Language Cactus Language] |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Futures_Of_Logical_Graphs Futures Of Logical Graphs] |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Propositional_Equation_Reasoning_Systems Propositional Equation Reasoning Systems] |
| + | {{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}} |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Prospects_for_Inquiry_Driven_Systems Prospects for Inquiry Driven Systems] |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Introduction_to_Inquiry_Driven_Systems Introduction to Inquiry Driven Systems] |
| + | * [http://intersci.ss.uci.edu/wiki/index.php/Inquiry_Driven_Systems Inquiry Driven Systems : Inquiry Into Inquiry] |
| + | {{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/Differential_logic Differential Logic], [http://intersci.ss.uci.edu/ InterSciWiki] |
| + | * [http://mywikibiz.com/Differential_logic Differential Logic], [http://mywikibiz.com/ MyWikiBiz] |
| + | * [http://planetmath.org/DifferentialLogic Differential Logic], [http://planetmath.org/ PlanetMath] |
| + | * [http://semanticweb.org/wiki/Differential_logic Differential Logic], [http://semanticweb.org/ Semantic Web] |
| + | * [http://wikinfo.org/w/index.php/Differential_logic Differential Logic], [http://wikinfo.org/w/ Wikinfo] |
| + | * [http://en.wikiversity.org/wiki/Differential_logic Differential Logic], [http://en.wikiversity.org/ Wikiversity] |
| + | * [http://beta.wikiversity.org/wiki/Differential_logic Differential Logic], [http://beta.wikiversity.org/ Wikiversity Beta] |
| + | |
| + | [[Category:Inquiry]] |
| + | [[Category:Open Educational Resource]] |
| + | [[Category:Peer Educational Resource]] |
| + | [[Category:Artificial Intelligence]] |
| + | [[Category:Charles Sanders Peirce]] |
| + | [[Category:Combinatorics]] |
| [[Category:Computer Science]] | | [[Category:Computer Science]] |
| [[Category:Cybernetics]] | | [[Category:Cybernetics]] |
| + | [[Category:Differential Logic]] |
| [[Category:Dynamical Systems]] | | [[Category:Dynamical Systems]] |
| + | [[Category:Equational Reasoning]] |
| [[Category:Formal Languages]] | | [[Category:Formal Languages]] |
| + | [[Category:Formal Sciences]] |
| [[Category:Formal Systems]] | | [[Category:Formal Systems]] |
− | [[Category:Inquiry]] | + | [[Category:Graph Theory]] |
− | [[Category:Linguistics]] | + | [[Category:History of Logic]] |
| + | [[Category:History of Mathematics]] |
| + | [[Category:Knowledge Representation]] |
| [[Category:Logic]] | | [[Category:Logic]] |
| + | [[Category:Logical Graphs]] |
| [[Category:Mathematics]] | | [[Category:Mathematics]] |
| [[Category:Mathematical Systems Theory]] | | [[Category:Mathematical Systems Theory]] |
| + | [[Category:Philosophy]] |
| [[Category:Semiotics]] | | [[Category:Semiotics]] |
− | [[Category:Philosophy]]
| |
| [[Category:Systems Science]] | | [[Category:Systems Science]] |
| + | [[Category:Visualization]] |