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Author : Jaakko Hintikka
Release : 1998
Genre : First-order logic
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Principles of Mathematics Revisited by : Jaakko Hintikka
Download or read book The Principles of Mathematics Revisited written by Jaakko Hintikka. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hintikka Jaakko
Release : 1996
Genre : First-order logic
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Principles of Mathematics Revisited by : Hintikka Jaakko
Download or read book The Principles of Mathematics Revisited written by Hintikka Jaakko. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jaakko Hintikka
Release : 1998-04-28
Genre : Mathematics
Kind : eBook
Book Rating : 985/5 ( reviews)
Book Synopsis The Principles of Mathematics Revisited by : Jaakko Hintikka
Download or read book The Principles of Mathematics Revisited written by Jaakko Hintikka. This book was released on 1998-04-28. Available in PDF, EPUB and Kindle. Book excerpt: This book, written by one of philosophy's pre-eminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. It is therefore a book of critical importance to logical theory. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. The famous impossibility results by Gödel and Tarski that have dominated the field for the last sixty years turn out to be much less significant than has been thought. All of ordinary mathematics can in principle be done on this first-order level, thus dispensing with the existence of sets and other higher-order entities.
Author : Kaarlo Jaakko Juhani Hintikka
Release : 1998
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Principles of Mathematics Revisited by : Kaarlo Jaakko Juhani Hintikka
Download or read book The Principles of Mathematics Revisited written by Kaarlo Jaakko Juhani Hintikka. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Lepetic
Release : 2015-11-30
Genre : Mathematics
Kind : eBook
Book Rating : 650/5 ( reviews)
Book Synopsis Principles of Mathematics by : Vladimir Lepetic
Download or read book Principles of Mathematics written by Vladimir Lepetic. This book was released on 2015-11-30. Available in PDF, EPUB and Kindle. Book excerpt: Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra. The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features: Detailed explanations of important theorems and their applications Hundreds of completely solved problems throughout each chapter Numerous exercises at the end of each chapter to encourage further exploration Discussions of interesting and provocative issues that spark readers’ curiosity and facilitate a better understanding and appreciation of the field of mathematics Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences.
