The Elementals
Logic Forum (2012)
| Abstract | A work on the philosophy of logic (1980) This is an attempt to view the most basic and fundamental part of modern logic from a perspective which shares no grounds with any established schools of philosophical logic, in that the truth and falsehood as judged by means of human interventions is denied and the notion of logical dimensions is introduced. It establishes the minimum irrefutable logical structure and proceeds to found the relations between logic and geometry. The description of symmetry creates and simultaneously constrains the logical structure, whereas symmetry itself can only be postulated. What really symmetry is, is a riddle of the intellect. Please think of it for at least one hour before you open this book. | |||||||||
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Giovanni Sambin, Giulia Battilotti & Claudia Faggian (2000). Basic Logic: Reflection, Symmetry, Visibility. Journal of Symbolic Logic 65 (3):979-1013.
Eric Hammer (1996). Symmetry as a Method of Proof. Journal of Philosophical Logic 25 (5):523 - 543.
Itamar Pitowsky (1982). Substitution and Truth in Quantum Logic. Philosophy of Science 49 (3):380-401.
Enrico Martino & Gabriele Usberti (1994). Temporal and Atemporal Truth in Intuitionistic Mathematics. Topoi 13 (2):83-92.
Rani Lill Anjum (2007). The Logic of `If' — or How to Philosophically Eliminate Conditional Relations. Sorites - A Digital Journal of Analytic Philosophy 19:51-57.
R. Zuber (2007). Symmetric and Contrapositional Quantifiers. Journal of Logic, Language and Information 16 (1).
Reinhard Muskens (1991). [Book Chapter]. Springer Netherlands.
Greg Restall (2009). Truth Values and Proof Theory. Studia Logica 92 (2):241 - 264.
Peter Mittelstaedt (1978). The Metalogic of Quantum Logic. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1978:249 - 256.
Theodore Hailperin (1991). Probability Logic in the Twentieth Century. History and Philosophy of Logic 12 (1):71-110.
Joseph Diekemper (2005). Logical Determinateness, Fixity, and the Symmetry of Time. Philosophical Papers 34 (1):1-24.
Stephen Read (1994). Thinking About Logic: An Introduction to the Philosophy of Logic. Oxford University Press.
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