David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Bulletin of Symbolic Logic 5 (4):433-450 (1999)
The history of modern logic is usually written as the history of mathematical or, more general, symbolic logic. As such it was created by mathematicians. Not regarding its anticipations in Scholastic logic and in the rationalistic era, its continuous development began with George Boole's The Mathematical Analysis of Logic of 1847, and it became a mathematical subdiscipline in the early 20th century. This style of presentation cuts off one eminent line of development, the philosophical development of logic, although logic is evidently one of the basic disciplines of philosophy. One needs only to recall some of the standard 19th century definitions of logic as, e.g., the art and science of reasoning (Whateley) or as giving the normative rules of correct reasoning (Herbart). In the paper the relationship between the philosophical and the mathematical development of logic will be discussed. Answers to the following questions will be provided: 1. What were the reasons for the philosophers' lack of interest in formal logic? 2. What were the reasons for the mathematicians' interest in logic? 3. What did "logic reform" mean in the 19th century? Were the systems of mathematical logic initially regarded as contributions to a reform of logic? 4. Was mathematical logic regarded as art, as science or as both?
|Keywords||History of Logic Algebra of Logic Mathematical and Philosophical Context of the Emergence of Symbolic Logic Quantification of the Predicate Logic and Metaphysics The Logical Question Psychologism Symbolical Algebra, Calculus of Operations Combinatorial Algebra Inductive Logic Reception of Symbolic Logic|
|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
Lydia Patton (2011). Anti-Psychologism About Necessity: Friedrich Albert Lange on Objective Inference. History and Philosophy of Logic 32 (2):139 - 152.
Lukas M. Verburgt (2014). John Venn's Hypothetical Infinite Frequentism and Logic. History and Philosophy of Logic 35 (3):248-271.
Similar books and articles
Samuel R. Buss, Alexander S. Kechris, Anand Pillay & Richard A. Shore (2001). The Prospects for Mathematical Logic in the Twenty-First Century. Bulletin of Symbolic Logic 7 (2):169-196.
Xu Yibao (2003). Bertrand Russell and the Introduction of Mathematical Logic in China. History and Philosophy of Logic 24 (3):181-196.
J. L. Bell (1977). A Course in Mathematical Logic. Sole Distributors for the U.S.A. And Canada American Elsevier Pub. Co..
Volker Peckhaus (2009). The Mathematical Origins of Nineteenth-Century Algebra of Logic. In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press 159.
Jarmo Pulkkinen (2005). Thought and Logic: The Debates Between German-Speaking Philosophers and Symbolic Logicians at the Turn of the 20th Century. P. Lang.
Volker Peckhaus (2008). Gottlob Frege and the Interplay Between Logic and Mathematics. In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press
Risto Vilkko (2007). The Problematic Reconstruction of the Development of Modern Logic. The Proceedings of the Twenty-First World Congress of Philosophy 5:31-35.
Volker Peckhaus (1997). The Way of Logic Into Mathematics. Theoria 12 (1):39-64.
Added to index2009-01-28
Total downloads39 ( #84,258 of 1,725,404 )
Recent downloads (6 months)2 ( #268,739 of 1,725,404 )
How can I increase my downloads?