Philosophy
| Abstract | This book is intended for those who have no previous acquaintance with the topics of which it treats, and no more knowledge of mathematics than can be acquired at a primary school or even at Eton. It sets forth in elementary form the logical definition of number, the analysis of the notion of order, the modern doctrine of the infinite, and the theory of descriptions and classes as symbolic fictions. The more controversial and uncertain aspects of the subject are subordinated to those which can by now be regarded as acquired scientific knowledge. These are explained without the use of symbols, but in such a way as to give readers a general understanding of the methods and purposes of mathematical logic, which, it is hoped, will be of interest not only to those who wish to proceed to a more serious study of the subject, but also to that wider circle who feel a desire to know the bearings of this important modern science. | |||||||||
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Bertrand Russell (1919/1993). Introduction to Mathematical Philosophy. Dover Publications.
Leon Horsten, Philosophy of Mathematics. Stanford Encyclopedia of Philosophy.
Graeme Forbes (1994). Modern Logic: A Text in Elementary Symbolic Logic. Oxford University Press.
Paul C. Rosenbloom (1950/2005). The Elements of Mathematical Logic. New York]Dover Publications.
J. Y. Beziau (ed.) (2005). Logica Universalis. Birkhäuser Verlog.
William Demopoulos (2013). Logicism and its Philosophical Legacy. Cambridge University Press.
J. B. Paris (1994). The Uncertain Reasoner's Companion: A Mathematical Perspective. Cambridge University Press.
Bertrand Russell (1917/1981). Mysticism and Logic, and Other Essays. Barnes & Noble Books.
J. P. Cleave (1991). A Study of Logics. Oxford University Press.
Bertrand Russell (1918/2004). Mysticism and Logic. Dover Publications.
Alfred Tarski (1994). Introduction to Logic and to the Methodology of the Deductive Sciences. Oxford University Press.
Alfred North Whitehead & Bertrand Russell (1962/1997). Principia Mathematica, to *56. Cambridge University Press.
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