L???wenheim'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 L???wenheim's theorem. For example, the very result that scholars attribute to L???wenheim today is not the one that Skolem--a logician raised in the algebraic tradition, like L?? ...
Read More
L???wenheim'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 L???wenheim's theorem. For example, the very result that scholars attribute to L???wenheim today is not the one that Skolem--a logician raised in the algebraic tradition, like L???wenheim--appears to have attributed to him. In The Birth of Model Theory , Calixto Badesa provides both the first sustained, book-length analysis of L???wenheim'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, L???wenheim did not use an infinitary language to prove his theorem; second, the functional interpretation of L???wenheim's normal form is anachronistic, and inappropriate for reconstructing the proof; and third, L???wenheim 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.
Read Less
Add this copy of The Birth of Model Theory: Löwenheim's Theorem in the to cart. $60.58, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2004 by Princeton University Press.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority!
Add this copy of The Birth of Model Theory: Löwenheim's Theorem in the to cart. $79.56, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2004 by Princeton University Press.
Add this copy of The Birth of Model Theory: Löwenheim's Theorem in the to cart. $103.91, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2004 by Princeton University Press.
Add this copy of The Birth of Model Theory to cart. $107.16, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 2004 by Princeton University Press.
Add this copy of The Birth of Model Theory: Löwenheim's Theorem in the to cart. $140.84, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2004 by Princeton University Press.
Add this copy of The Birth of Model Theory: Löwenheim's Theorem in the to cart. $174.25, new condition, Sold by GridFreed rated 5.0 out of 5 stars, ships from North Las Vegas, NV, UNITED STATES, published 2004 by Princeton University Press.
