Logical graph
From Wikipedia, the free encyclopedia
A logical graph is a special type of graph-theoretic structure in any one of several systems of graphical syntax that Charles Sanders Peirce developed for logic.
In his papers on qualitative logic, entitative graphs, and existential graphs, Peirce developed several versions of a graphical formalism, or a graph-theoretic formal language, designed to be interpreted for logic.
In the century since Peirce initiated this line of development, a variety of formal systems have branched out from what is abstractly the same formal base of graph-theoretic structures.
[edit] References
- Leibniz, G.W. (1679–1686 ?), "Addenda to the Specimen of the Universal Calculus", pp. 40–46 in G.H.R. Parkinson (ed. and trans., 1966), Leibniz: Logical Papers, Oxford University Press, London, UK.
- Peirce, C.S. (1931–1935, 1958), Collected Papers of Charles Sanders Peirce, vols. 1–6, Charles Hartshorne and Paul Weiss (eds.), vols. 7–8, Arthur W. Burks (ed.), Harvard University Press, Cambridge, MA. Cited as CP volume.paragraph.
- Peirce, C.S. (1981–), Writings of Charles S. Peirce: A Chronological Edition, Peirce Edition Project (eds.), Indiana University Press, Bloomington and Indianoplis, IN. Cited as W 2 volume, page.
- Peirce, C.S. (1885), "On the Algebra of Logic: A Contribution to the Philosophy of Notation", American Journal of Mathematics 7 (1885), 180–202. Reprinted as CP 3.359–403 and W 2 5, 162–190.
- Peirce, C.S. (c. 1886), "Qualitative Logic", MS 736. Published as pp. 101–115 in Carolyn Eisele (ed., 1976), The New Elements of Mathematics by Charles S. Peirce, Volume 4, Mathematical Philosophy, Mouton, The Hague.
- Peirce, C.S. (1886 a), "Qualitative Logic", MS 582. Published as pp. 323–371 in Writings of Charles S. Peirce: A Chronological Edition, Volume 5, 1884–1886, Peirce Edition Project (eds.), Indiana University Press, Bloomington, IN, 1993.
- Peirce, C.S. (1886 b), "The Logic of Relatives: Qualitative and Quantitative", MS 584. Published as pp. 372–378 in Writings of Charles S. Peirce: A Chronological Edition, Volume 5, 1884–1886, Peirce Edition Project (eds.), Indiana University Press, Bloomington, IN, 1993.
- Spencer Brown, George (1969), Laws of Form, George Allen and Unwin, London, UK.
[edit] See also
[edit] External links
- Logical Graph @ PlanetMath
- Logical Graph @ Commens Dictionary of Peirce's Terms
- Laws of Form web site
- Spencer-Brown's talks at Esalen 1973 — Self-referential forms are introduced in the section entitled "Degree of Equations and the Theory of Types"
- Louis H. Kauffman — Box Algebra, Boundary Mathematics, Logic, and Laws of Form
