Formal Proofs And Refutations
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Author | : Imre Lakatos |
Publisher | : Cambridge University Press |
Total Pages | : 190 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : 9780521290388 |
Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.
Author | : Jesse Alama |
Publisher | : |
Total Pages | : 274 |
Release | : 2009 |
Genre | : |
ISBN | : |
Author | : Richard Bornat |
Publisher | : Oxford University Press on Demand |
Total Pages | : 243 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0198530277 |
Proof and Disproof in Formal Logic is a lively and entertaining introduction to formal logic providing an excellent insight into how a simple logic works. This book concentrates on using logic as a tool: making and using formal proofs and disproofs of particular logical claims. The logic it uses - natural deduction - is very simple and shows how large mathematical universes can be built on small foundations. Aimed at undergraduates and graduates in computerscience, logic, mathematics, and philosophy, the text includes reference to...
Author | : Edward Feser |
Publisher | : Ignatius Press |
Total Pages | : 338 |
Release | : 2017-08-25 |
Genre | : Philosophy |
ISBN | : 1681497808 |
This book provides a detailed, updated exposition and defense of five of the historically most important (but in recent years largely neglected) philosophical proofs of God’s existence: the Aristotelian, the Neo-Platonic, the Augustinian, the Thomistic, and the Rationalist. It also offers a thorough treatment of each of the key divine attributes—unity, simplicity, eternity, omnipotence, omniscience, perfect goodness, and so forth—showing that they must be possessed by the God whose existence is demonstrated by the proofs. Finally, it answers at length all of the objections that have been leveled against these proofs. This work provides as ambitious and complete a defense of traditional natural theology as is currently in print. Its aim is to vindicate the view of the greatest philosophers of the past— thinkers like Aristotle, Plotinus, Augustine, Aquinas, Leibniz, and many others— that the existence of God can be established with certainty by way of purely rational arguments. It thereby serves as a refutation both of atheism and of the fideism that gives aid and comfort to atheism.
Author | : Jean H. Gallier |
Publisher | : Courier Dover Publications |
Total Pages | : 532 |
Release | : 2015-06-18 |
Genre | : Mathematics |
ISBN | : 0486780821 |
This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.
Author | : Sergei Artemov |
Publisher | : Cambridge University Press |
Total Pages | : 271 |
Release | : 2019-05-02 |
Genre | : Mathematics |
ISBN | : 1108424910 |
Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.
Author | : David A. Reid |
Publisher | : BRILL |
Total Pages | : 265 |
Release | : 2010-01-01 |
Genre | : Education |
ISBN | : 946091246X |
Research on teaching and learning proof and proving has expanded in recent decades. This reflects the growth of mathematics education research in general, but also an increased emphasis on proof in mathematics education.
Author | : S.R. Buss |
Publisher | : Elsevier |
Total Pages | : 823 |
Release | : 1998-07-09 |
Genre | : Mathematics |
ISBN | : 0080533183 |
This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth.The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.
Author | : John Kadvany |
Publisher | : Duke University Press |
Total Pages | : 400 |
Release | : 2001-04-09 |
Genre | : Biography & Autobiography |
ISBN | : 9780822326496 |
DIVAn exploration of the philosophy of science and mathematics of Hungarian emigre, Imre Lakatos, demonstrating its contemporary relevance./div
Author | : Brendan Larvor |
Publisher | : Psychology Press |
Total Pages | : 142 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 0415142768 |
Lakatos: An Introduction provides a thorough overview of both Lakatos's thought and his place in twentieth century philosophy. It is an essential and insightful read for students and anyone interested in the philosophy of science.