Proof Logic And Formalization
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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 | : 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 | : |
Publisher | : Univalent Foundations |
Total Pages | : 484 |
Release | : |
Genre | : |
ISBN | : |
Download Homotopy Type Theory: Univalent Foundations of Mathematics Book in PDF, Epub and Kindle
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 | : 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 | : Dana S. Scott |
Publisher | : |
Total Pages | : 150 |
Release | : 1981 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
Download Notes on the Formalization of Logic Book in PDF, Epub and Kindle
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 | : A. S. Troelstra |
Publisher | : Cambridge University Press |
Total Pages | : 436 |
Release | : 2000-07-27 |
Genre | : Computers |
ISBN | : 9780521779111 |
Download Basic Proof Theory Book in PDF, Epub and Kindle
This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.
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 | : John T. Baldwin |
Publisher | : Cambridge University Press |
Total Pages | : 365 |
Release | : 2018-01-25 |
Genre | : Mathematics |
ISBN | : 1107189217 |
Download Model Theory and the Philosophy of Mathematical Practice Book in PDF, Epub and Kindle
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.