 |
|
| THE RISE OF MODERN LOGIC: FROM LEIBNIZ TO FREGE, 3
| |
| | |
|
|
To order this title, and for more information, click here
Edited By
Dov M. Gabbay, King's College London, UK
John Woods, University of British Columbia, Vancouver, Canada
Included in series
Handbook of the History of Logic,
Description
With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The
period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is
the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that,
after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical
character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment
or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although
given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth
century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one
does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the
most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred
North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association
of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes
disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different
reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in
a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed,
with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts
(set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to
leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic
between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial
designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater,
serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British
Logic in the Nineteenth Century.
Audience
The Handbook is aimed at senior undergraduate students, graduate students and researchers in Logic, Computer Science, Argumentation Theory
and in cognate disciplines such as Cognitive Science and Intellectual History.
Contents
Preface (D.M. Gabbay, J. Woods).
List of Contributors.
Leibniz's Logic (W. Lenzen).
Kant: From General to Transcendental Logic (M. Tiles).
Hegel's Logic (J.W. Burbidge).
Bolzano as Logician (P. Rusnock, R. George).
Husserl's Logic (R. Tieszen).
Algebraical Logic 1685-1900
(T. Hailperin).
The Algebra of Logic (V.S. Valencia).
The Mathematical Turn in Logic (I. Grattan-Guinness).
Schr der's Logic (V. Peckhaus).
Peirce's Logic (R. Hilpinen).
Frege's Logic (P. Sullivan).
Index.
| Bibliographic details |
Hardbound, 780 pages, publication date: MAR-2004
ISBN-13: 978-0-444-51611-4
ISBN-10: 0-444-51611-5
Imprint: NORTH-HOLLAND
|
| Price and Ordering |
Price:
USD 240
GBP 144.99
EUR 171.95
|  |
Books and book related electronic products are priced in US dollars (USD), euro (EUR), and Great Britain Pounds (GBP). USD prices apply to the Americas and Asia Pacific. EUR prices apply in Europe and the Middle East. GBP prices apply to the UK and all other countries.
|
See also information about conditions of sale & ordering procedures, and links to our regional sales offices.
|
050/500
Last update: 30 Nov 2009
|
|
| |
| | |
|
|
| |
Home | Elsevier Sites | Privacy Policy | Terms and Conditions | Feedback | Site Map | A Reed Elsevier Company