David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Studia Logica 1 (1):253 (1953)
The anonimous scholiumOn all forms of syllogism was copied in 1884 from the Paris Codex 2064 by E. Richter. In 1899 M. Wallies published it in the preface to Ammonius' commentary on the Prior Analytics of Aristotle. There appear in that scholium, apart from the complex figure of Galenos, other characteristic forms of inference.Among these forms I found five so-called non-demonstrable stoic syllogisms, three modifications of the law of transposition of which the third is not mentioned by the authors of Princ pia Mathematica, and a modification of the form of inference known as Euclid's law. This form of inference was applied by Euclid in mathematics and by Saccherius in syllogistics; it is mentioned for the first time by Cardan in a treatise of 1570 and later by Clavius in his commentary of 1574 on the Elements of Euclid and in the commentary on Theodosius'Sphaerica of the year 1586.In 1658 Erhard Weigel made the first attempt at refuting the logical law of Euclid as formulated by Cardan and Clavius and in 1686 James Bernoulli tried to prove it
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Leon Horsten & Philip Welch (2007). The Undecidability of Propositional Adaptive Logic. Synthese 158 (1):41 - 60.
Alexander Bochman & Dov M. Gabbay (2012). Sequential Dynamic Logic. Journal of Logic, Language and Information 21 (3):279-298.
E. -W. Stachow (1978). Quantum Logical Calculi and Lattice Structures. Journal of Philosophical Logic 7 (1):347 - 386.
Dexter Kozen (1988). A Finite Model Theorem for the Propositional Μ-Calculus. Studia Logica 47 (3):233 - 241.
M. G. Beavers (1994). Theorem Counting. Topoi 13 (1):61-65.
Michael J. Carroll (1976). On Interpreting the S5 Propositional Calculus: An Essay in Philosophical Logic. Dissertation, University of Iowa
Wim Ruitenburg (1984). On the Period of Sequences (an(P)) in Intuitionistic Propositional Calculus. Journal of Symbolic Logic 49 (3):892 - 899.
René[from old catalog] Calvache (1966). Tables for the Propositional Calculus (Logico-Mathematical Brain). Miami, Fla..
Stanisław Jaśkowski (1975). Three Contributions to the Two-Valued Propositional Calculus. Studia Logica 34 (1):121 - 132.
Added to index2009-01-28
Total downloads3 ( #313,706 of 1,140,199 )
Recent downloads (6 months)1 ( #142,694 of 1,140,199 )
How can I increase my downloads?