The Principles Of Mathematics
by Bertrand Russell
Publisher: W. W. Norton & Company
Number of pages: 579
Russell's classic 'The Principles of Mathematics' sets forth his landmark thesis that mathematics and logic are identical -- that what is commonly called mathematics is simply later deductions from logical premises. His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.
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by Bertrand Russell - University of Massachusetts Amherst
A very accessible mathematical classic. 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.
by Robert Goldblatt - Center for the Study of Language
Sets out the basic theory of normal modal and temporal propositional logics, applies this theory to logics of discrete, dense, and continuous time, to the temporal logic of henceforth, next, and until, and to the dynamic logic of regular programs.
by Vilnis Detlovs, Karlis Podnieks - University of Latvia
From the table of contents: 1. Introduction. What Is Logic, Really?; 2. Propositional Logic; 3. Predicate Logic; 4. Completeness Theorems (Model Theory); 5. Normal Forms. Resolution Method; 6. Miscellaneous (Negation as Contradiction or Absurdity).
by Frank Waaldijk - arXiv
We give a theoretical and applicable framework for dealing with real-world phenomena. Joining pointwise and pointfree notions in BISH, natural topology gives a faithful idea of important concepts and results in intuitionism.