Proof Logic And Formalization PDF Download
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Author | : Michael Detlefsen |
Publisher | : Routledge |
Total Pages | : 391 |
Release | : 2005-07-08 |
Genre | : Philosophy |
ISBN | : 1134975279 |
Download Proof, Logic and Formalization Book in PDF, ePub and Kindle
The mathematical proof is the most important form of justification in mathematics. It is not, however, the only kind of justification for mathematical propositions. The existence of other forms, some of very significant strength, places a question mark over the prominence given to proof within mathematics. This collection of essays, by leading figures working within the philosophy of mathematics, is a response to the challenge of understanding the nature and role of the proof.
Author | : Michael Detlefsen |
Publisher | : Routledge |
Total Pages | : 251 |
Release | : 2005-07-08 |
Genre | : Mathematics |
ISBN | : 1134975287 |
Download Proof, Logic and Formalization Book in PDF, ePub and Kindle
A collection of essays from distinguished contributors looking at why it is that mathematical proof is given precedence over other forms of mathematical justification.
Author | : |
Publisher | : Univalent Foundations |
Total Pages | : 484 |
Release | : |
Genre | : |
ISBN | : |
Download Homotopy Type Theory: Univalent Foundations of Mathematics Book in PDF, ePub and Kindle
Author | : Michael Detlefsen |
Publisher | : Routledge |
Total Pages | : 410 |
Release | : 2005-08-18 |
Genre | : Philosophy |
ISBN | : 1134916752 |
Download Proof and Knowledge in Mathematics Book in PDF, ePub and Kindle
These questions arise from any attempt to discover an epistemology for mathematics. This collection of essays considers various questions concerning the nature of justification in mathematics and possible sources of that justification. Among these are the question of whether mathematical justification is a priori or a posteriori in character, whether logical and mathematical differ, and if formalization plays a significant role in mathematical justification,
Author | : Gilles Dowek |
Publisher | : Springer Science & Business Media |
Total Pages | : 161 |
Release | : 2011-01-11 |
Genre | : Computers |
ISBN | : 0857291211 |
Download Proofs and Algorithms Book in PDF, ePub and Kindle
Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation. Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself. Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.
Author | : Alfred Tarski |
Publisher | : American Mathematical Soc. |
Total Pages | : 342 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : 0821810413 |
Download A Formalization of Set Theory without Variables Book in PDF, ePub and Kindle
Culminates nearly half a century of the late Alfred Tarski's foundational studies in logic, mathematics, and the philosophy of science. This work shows that set theory and number theory can be developed within the framework of a new, different and simple equational formalism, closely related to the formalism of the theory of relation algebras.
Author | : Lawrence C. Paulson |
Publisher | : Springer Science & Business Media |
Total Pages | : 348 |
Release | : 1994-07-28 |
Genre | : Computers |
ISBN | : 9783540582441 |
Download Isabelle Book in PDF, ePub and Kindle
This volume presents the proceedings of the First International Static Analysis Symposium (SAS '94), held in Namur, Belgium in September 1994. The proceedings comprise 25 full refereed papers selected from 70 submissions as well as four invited contributions by Charles Consel, Saumya K. Debray, Thomas W. Getzinger, and Nicolas Halbwachs. The papers address static analysis aspects for various programming paradigms and cover the following topics: generic algorithms for fixpoint computations; program optimization, transformation and verification; strictness-related analyses; type-based analyses and type inference; dependency analyses and abstract domain construction.
Author | : Daniel W. Cunningham |
Publisher | : Springer Science & Business Media |
Total Pages | : 365 |
Release | : 2012-09-19 |
Genre | : Mathematics |
ISBN | : 1461436311 |
Download A Logical Introduction to Proof Book in PDF, ePub and Kindle
The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A proof diagram provides a tool for showing students how to write correct mathematical proofs.
Author | : Brahima Mbodje Ph. D. |
Publisher | : AuthorHouse |
Total Pages | : 358 |
Release | : 2011-06 |
Genre | : Education |
ISBN | : 1463429673 |
Download Logic, Sets and the Techniques of Mathematical Proofs Book in PDF, ePub and Kindle
As its title indicates, this book is about logic, sets and mathematical proofs. It is a careful, patient and rigorous introduction for readers with very limited mathematical maturity. It teaches the reader not only how to read a mathematical proof, but also how to write one. To achieve this, we carefully lay out all the various proof methods encountered in mathematical discourse, give their logical justifications, and apply them to the study of topics [such as real numbers, relations, functions, sequences, fine sets, infinite sets, countable sets, uncountable sets and transfinite numbers] whose mastery is important for anyone contemplating advanced studies in mathematics. The book is completely self-contained; since the prerequisites for reading it are only a sound background in high school algebra. Though this book is meant to be a companion specifically for senior high school pupils and college undergraduate students, it will also be of immense value to anyone interested in acquiring the tools and way of thinking of the mathematician.
Author | : Rudolf Carnap |
Publisher | : |
Total Pages | : 184 |
Release | : 1947 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
Download Formalization of Logic Book in PDF, ePub and Kindle