The Birth Of Model Theory
Download The Birth Of Model Theory full books in PDF, epub, and Kindle. Read online free The Birth Of Model Theory ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Calixto Badesa |
Publisher | : Princeton University Press |
Total Pages | : 256 |
Release | : 2009-01-10 |
Genre | : Mathematics |
ISBN | : 1400826187 |
Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original proofs of other, comparably significant theorems are well understood, this is not the case with Löwenheim's theorem. For example, the very result that scholars attribute to Löwenheim today is not the one that Skolem--a logician raised in the algebraic tradition, like Löwenheim--appears to have attributed to him. In The Birth of Model Theory, Calixto Badesa provides both the first sustained, book-length analysis of Löwenheim's proof and a detailed description of the theoretical framework--and, in particular, of the algebraic tradition--that made the theorem possible. Badesa's three main conclusions amount to a completely new interpretation of the proof, one that sharply contradicts the core of modern scholarship on the topic. First, Löwenheim did not use an infinitary language to prove his theorem; second, the functional interpretation of Löwenheim's normal form is anachronistic, and inappropriate for reconstructing the proof; and third, Löwenheim did not aim to prove the theorem's weakest version but the stronger version Skolem attributed to him. This book will be of considerable interest to historians of logic, logicians, philosophers of logic, and philosophers of mathematics.
Author | : Andrea Cappelli |
Publisher | : Cambridge University Press |
Total Pages | : 663 |
Release | : 2012-04-12 |
Genre | : Science |
ISBN | : 0521197902 |
Explores the early stages of the development of string theory; essential reading for physicists, historians and philosophers of science.
Author | : Leonid Libkin |
Publisher | : Springer Science & Business Media |
Total Pages | : 320 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662070030 |
Emphasizes the computer science aspects of the subject. Details applications in databases, complexity theory, and formal languages, as well as other branches of computer science.
Author | : Calixto Badesa |
Publisher | : |
Total Pages | : 256 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : |
Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original proofs of other, comparably significant theorems are well understood, this is not the case with Löwenheim's theorem. For example, the very result that scholars attribute to Löwenheim today is not the one that Skolem--a logician raised in the algebraic tradition, like Löwenheim--appears to have attributed to him. In The Birth of Model Theory, Calixto Badesa provides both the first sustained, book-length analysis of Löwenheim's proof and a detailed description of the theoretical framework--and, in particular, of the algebraic tradition--that made the theorem possible. Badesa's three main conclusions amount to a completely new interpretation of the proof, one that sharply contradicts the core of modern scholarship on the topic. First, Löwenheim did not use an infinitary language to prove his theorem; second, the functional interpretation of Löwenheim's normal form is anachronistic, and inappropriate for reconstructing the proof; and third, Löwenheim did not aim to prove the theorem's weakest version but the stronger version Skolem attributed to him. This book will be of considerable interest to historians of logic, logicians, philosophers of logic, and philosophers of mathematics.
Author | : Cédric Villani |
Publisher | : Macmillan + ORM |
Total Pages | : 260 |
Release | : 2015-04-14 |
Genre | : Biography & Autobiography |
ISBN | : 0374710236 |
In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of aTheorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career. But you don't have to understand nonlinear Landau damping to love Birth of aTheorem. It doesn't simplify or overexplain; rather, it invites readers into collaboration. Villani's diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to the dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery—and with Birth of aTheorem, Cédric Villani welcomes you into his.
Author | : John T. Baldwin |
Publisher | : Cambridge University Press |
Total Pages | : 365 |
Release | : 2018-01-25 |
Genre | : Mathematics |
ISBN | : 1107189217 |
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Author | : Tim Button |
Publisher | : Oxford University Press |
Total Pages | : 534 |
Release | : 2018 |
Genre | : Mathematics |
ISBN | : 0198790392 |
Model theory is used in every theoretical branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics. But these wide-ranging uses of model theory have created a highly fragmented literature. On the one hand, many philosophically significant results are found only in mathematics textbooks: these are aimed squarely at mathematicians; they typically presuppose that the reader has a serious background in mathematics; and little clue is given as to their philosophical significance. On the other hand, the philosophical applications of these results are scattered across disconnected pockets of papers. The first aim of this book, then, is to explore the philosophical uses of model theory, focusing on the central topics of reference, realism, and doxology. Its second aim is to address important questions in the philosophy of model theory, such as: sameness of theories and structure, the boundaries of logic, and the classification of mathematical structures. Philosophy and Model Theory will be accessible to anyone who has completed an introductory logic course. It does not assume that readers have encountered model theory before, but starts right at the beginning, discussing philosophical issues that arise even with conceptually basic model theory. Moreover, the book is largely self-contained: model-theoretic notions are defined as and when they are needed for the philosophical discussion, and many of the most philosophically significant results are given accessible proofs.
Author | : Orna Grumberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 238 |
Release | : 2008-06-17 |
Genre | : Computers |
ISBN | : 3540698493 |
This Festschrift volume, published in celebration of the 25th Anniversary of Model Checking, features papers based on talks at the symposium "25 Years of Model Checking", 25MC, which was part of the 18th International Conference on Computer Aided Verification.
Author | : Lou van den Dries |
Publisher | : Springer |
Total Pages | : 201 |
Release | : 2014-09-20 |
Genre | : Mathematics |
ISBN | : 3642549365 |
Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiation. Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics.
Author | : |
Publisher | : |
Total Pages | : 196 |
Release | : |
Genre | : Birth order |
ISBN | : 9781610595209 |
In his first book The Birth Order Effect, Cliff Isaacson took over where Alfred Adler left offùchallenging and expanding on traditional birth order theory, and showing readers how to determine their Birth Order Personality (not necessarily chronologically) and use that knowledge to understand themselves and others better. In The Birth Order Effect for Couples, Isaacson applies the Birth Order Effect specifically to relationships, showing readers how to use an understanding of their birth order personalities and that of their significant other to improve their relationships across the boardùemotionally, physically, spiritually, and sexually. The Birth Order Effect for Couples identifies the challenges couples face given their respective birth order personalities, and offers solutions. ItÆs fun to read, and as informative and instructive as it is entertaining.