Author: Leon Conrad
Communicology. 2018. Vol.6. No.1
Leon Conrad, independent researcher, co-founder and lead trainer of The Academy of Oratory Ltd., coach-communications consultant. Address: 202 Grangewood House, Essex, IG10 3TZ. Email: leon@academyoforatory.co.uk.
Abstract. This two-part paper builds on previous work by L. Kauffman and J. Mingers [Kauffman; Mingers] arguing that Spencer-Brown’s ‘calculus of indications’ (hereinafter CoI) outlined in his book Laws of Form [Spencer-Brown] provides a powerful way of notating and validating classical logical syllogisms. Part 1 gives a background to the CoI and to classical logic, showing that the CoI has clear advantages in terms of speed, clarity, and ease of use in comparison with other forms of notation such as text or Venn diagrams. Part 2 shows how Brownian notation can facilitate working with education via obversion and conversion; and working with sorites, with a note on the implications of Brownian notation for the question of existential import.
Keywords: logic, George Spencer-Brown, calculus of indications, laws of form
Text: PDF
For citation: Conrad L. Laws of Form – Laws of Logic (the use of the syllogism in the intellectual-verbal communication). Communicology (Russia). 2018. Vol. 6. No. 1. P. 175-191. DOI 10.21453/2311-3065-2018-6-1-175-191
References
Kauffman L. (no date). Syllogisms in Laws of Form. Retrieved from Papers related to Laws of Form and Cybernetics via Kauffman's home page on the University of Illinois at Chicago's website: https://dl.dropboxusercontent.com/u/11067256/SyllogismNotes.pdf.
Mingers J. (2014, January). Can the Laws of Form Represent Syllogisms? Retrieved from Kent Business School: http://www.kent.ac.uk/kbs/documents/res/working-papers/2014/293_2014.pdf
Spencer-Brown G. (2011). Laws of Form (5th revised ed.). Leipzig: Bohmeier Verlag.
Joseph S.M. (2002). The Trivium: The Liberal Arts of Logic, Grammar and Rhetoric. Philadelphia: Paul Dry Books.
Russell B., Whitehead A.N., Couturat L. (1910-1913). Principia Mathematica. Cambridge: The University Press.
Zellweger S. (1997). Untapped potential in Peirce’s iconic notation for the sixteen binary connectives. In N. Hauser, D. Roberts, & J. Evra (Eds.), Studies in the Logic of Charles Peirce. Indiana: Indiana University Press. P. 334-386.
Copi I.M., Cohen C. (2002). Introduction to Logic (11th ed.). New Jersey: Pearson Education, Inc. Meguire P. (2010). Boundary Algebra: A Simpler Approach to Boolean Algebra and the Sentential
Connectives. Christchurch: University of Canterbury.
Adler M.J. (1952). Matter. In M. J. Adler, W. Gorman (Eds.), The Great Ideas: A Syntopicon of Great Books of the Western World. Vol. III. Chicago: Encyclopaedia Britannica, Inc. P. 63-70.
Bricken W. (2005, October). Retrieved from Boundary Institute: http://iconicmath.com/mypdfs/ bl-the-difference.080830.pdf.
Carson S. (2000). Aristotle On Existential Import and Nonreferring Subjects. Synthese. No.124 (3). P. 343-360.
Leibniz G.W. (1989). Philosophical Papers and Letters. Transl. L.E. Loemker. Dordrecht: Kluwer Academic Publishers.
Communicology. 2018. Vol.6. No.1
Leon Conrad, independent researcher, co-founder and lead trainer of The Academy of Oratory Ltd., coach-communications consultant. Address: 202 Grangewood House, Essex, IG10 3TZ. Email: leon@academyoforatory.co.uk.
Abstract. This two-part paper builds on previous work by L. Kauffman and J. Mingers [Kauffman; Mingers] arguing that Spencer-Brown’s ‘calculus of indications’ (hereinafter CoI) outlined in his book Laws of Form [Spencer-Brown] provides a powerful way of notating and validating classical logical syllogisms. Part 1 gives a background to the CoI and to classical logic, showing that the CoI has clear advantages in terms of speed, clarity, and ease of use in comparison with other forms of notation such as text or Venn diagrams. Part 2 shows how Brownian notation can facilitate working with education via obversion and conversion; and working with sorites, with a note on the implications of Brownian notation for the question of existential import.
Keywords: logic, George Spencer-Brown, calculus of indications, laws of form
Text: PDF
For citation: Conrad L. Laws of Form – Laws of Logic (the use of the syllogism in the intellectual-verbal communication). Communicology (Russia). 2018. Vol. 6. No. 1. P. 175-191. DOI 10.21453/2311-3065-2018-6-1-175-191
References
Kauffman L. (no date). Syllogisms in Laws of Form. Retrieved from Papers related to Laws of Form and Cybernetics via Kauffman's home page on the University of Illinois at Chicago's website: https://dl.dropboxusercontent.com/u/11067256/SyllogismNotes.pdf.
Mingers J. (2014, January). Can the Laws of Form Represent Syllogisms? Retrieved from Kent Business School: http://www.kent.ac.uk/kbs/documents/res/working-papers/2014/293_2014.pdf
Spencer-Brown G. (2011). Laws of Form (5th revised ed.). Leipzig: Bohmeier Verlag.
Joseph S.M. (2002). The Trivium: The Liberal Arts of Logic, Grammar and Rhetoric. Philadelphia: Paul Dry Books.
Russell B., Whitehead A.N., Couturat L. (1910-1913). Principia Mathematica. Cambridge: The University Press.
Zellweger S. (1997). Untapped potential in Peirce’s iconic notation for the sixteen binary connectives. In N. Hauser, D. Roberts, & J. Evra (Eds.), Studies in the Logic of Charles Peirce. Indiana: Indiana University Press. P. 334-386.
Copi I.M., Cohen C. (2002). Introduction to Logic (11th ed.). New Jersey: Pearson Education, Inc. Meguire P. (2010). Boundary Algebra: A Simpler Approach to Boolean Algebra and the Sentential
Connectives. Christchurch: University of Canterbury.
Adler M.J. (1952). Matter. In M. J. Adler, W. Gorman (Eds.), The Great Ideas: A Syntopicon of Great Books of the Western World. Vol. III. Chicago: Encyclopaedia Britannica, Inc. P. 63-70.
Bricken W. (2005, October). Retrieved from Boundary Institute: http://iconicmath.com/mypdfs/ bl-the-difference.080830.pdf.
Carson S. (2000). Aristotle On Existential Import and Nonreferring Subjects. Synthese. No.124 (3). P. 343-360.
Leibniz G.W. (1989). Philosophical Papers and Letters. Transl. L.E. Loemker. Dordrecht: Kluwer Academic Publishers.
