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- Entitative_graph abstract "An entitative graph is an element of the diagrammatic syntax for logic that Charles Sanders Peirce developed under the name of qualitative logic beginning in the 1880s, taking the coverage of the formalism only as far as the propositional or sentential aspects of logic are concerned. See 3.468, 4.434, and 4.564 in Peirce's Collected Papers.The syntax is:The blank page;Single letters, phrases;Objects (subgraphs) enclosed by a simple closed curve called a cut. A cut can be empty.The semantics are:The blank page denotes False;Letters, phrases, subgraphs, and entire graphs can be True or False;To surround objects with a cut is equivalent to Boolean complementation. Hence an empty cut denotes Truth;All objects within a given cut are tacitly joined by disjunction.A "proof" manipulates a graph, using a short list of rules, until the graph is reduced to an empty cut or the blank page. A graph that can be so reduced is what is now called a tautology (or the complement thereof). Graphs that cannot be simplified beyond a certain point are analogues of the satisfiable formulas of first-order logic.Peirce soon abandoned the entitative graphs for the existential graphs, whose sentential (alpha) part is dual to the entitative graphs. He developed the existential graphs until they became another formalism for what are now termed first-order logic and normal modal logic. The primary algebra of G. Spencer-Brown is isomorphic to the entitative graphs.".
- Entitative_graph wikiPageID "3698082".
- Entitative_graph wikiPageRevisionID "596079513".
- Entitative_graph hasPhotoCollection Entitative_graph.
- Entitative_graph subject Category:Charles_Sanders_Peirce.
- Entitative_graph subject Category:Diagrams.
- Entitative_graph subject Category:History_of_logic.
- Entitative_graph subject Category:History_of_mathematics.
- Entitative_graph subject Category:Mathematical_logic.
- Entitative_graph subject Category:Philosophical_logic.
- Entitative_graph type Artifact100021939.
- Entitative_graph type Creation103129123.
- Entitative_graph type Diagram103186399.
- Entitative_graph type Diagrams.
- Entitative_graph type Drawing103234306.
- Entitative_graph type Object100002684.
- Entitative_graph type PhysicalEntity100001930.
- Entitative_graph type Representation104076846.
- Entitative_graph type Whole100003553.
- Entitative_graph comment "An entitative graph is an element of the diagrammatic syntax for logic that Charles Sanders Peirce developed under the name of qualitative logic beginning in the 1880s, taking the coverage of the formalism only as far as the propositional or sentential aspects of logic are concerned. See 3.468, 4.434, and 4.564 in Peirce's Collected Papers.The syntax is:The blank page;Single letters, phrases;Objects (subgraphs) enclosed by a simple closed curve called a cut.".
- Entitative_graph label "Entitative graph".
- Entitative_graph label "实体图".
- Entitative_graph sameAs m.09v_r4.
- Entitative_graph sameAs Q5380539.
- Entitative_graph sameAs Q5380539.
- Entitative_graph sameAs Entitative_graph.
- Entitative_graph wasDerivedFrom Entitative_graph?oldid=596079513.
- Entitative_graph isPrimaryTopicOf Entitative_graph.