{"product_id":"mathematical-logic-an-introduction-to-model-theory-9781461587521","title":"Mathematical Logic: An Introduction to Model Theory","description":"\u003cp\u003e • Author(s): A. Lightstone\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Logic\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eBefore his death in March, 1976, A. H. Lightstone delivered the manu- script for this book to Plenum Press. Because he died before the editorial work on the manuscript was completed, I agreed (in the fall of 1976) to serve as a surrogate author and to see the project through to completion. I have changed the manuscript as little as possible, altering certain passages to correct oversights. But the alterations are minor; this is Lightstone's book. H. B. Enderton vii Preface This is a treatment of the predicate calculus in a form that serves as a foundation for nonstandard analysis. Classically, the predicates and variables of the predicate calculus are kept distinct, inasmuch as no variable is also a predicate; moreover, each predicate is assigned an order, a unique natural number that indicates the length of each tuple to which the predicate can be prefixed. These restrictions are dropped here, in order to develop a flexible, expressive language capable of exploiting the potential of nonstandard analysis. To assist the reader in grasping the basic ideas of logic, we begin in Part I by presenting the propositional calculus and statement systems. This provides a relatively simple setting in which to grapple with the some- times foreign ideas of mathematical logic. These ideas are repeated in Part II, where the predicate calculus and semantical systems are studied.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45283072344215,"sku":"9781461587521","price":8005.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781461587521.webp?v=1769304000","url":"https:\/\/atlanticbooks.com\/products\/mathematical-logic-an-introduction-to-model-theory-9781461587521","provider":"Atlantic Books","version":"1.0","type":"link"}