{"product_id":"first-order-mathematical-logic-paperback","title":"First Order Mathematical Logic - Paperback","description":"\u003cp\u003eby \u003cb\u003eAngelo Margaris\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eAttractive and well-written introduction. \u003ci\u003e-- Journal of Symbolic Logic\u003cbr\u003e\u003c\/i\u003eThe logic that mathematicians use to prove their theorems is itself a part of mathematics, in the same way that algebra, analysis, and geometry are parts of mathematics. This attractive and well-written introduction to mathematical logic is aimed primarily at undergraduates with some background in college-level mathematics; however, little or no acquaintance with abstract mathematics is needed.\u003cbr\u003eDivided into three chapters, the book begins with a brief encounter of na ve set theory and logic for the beginner, and proceeds to set forth in elementary and intuitive form the themes developed formally and in detail later. In Chapter Two, the predicate calculus is developed as a formal axiomatic theory. The statement calculus, presented as a part of the predicate calculus, is treated in detail from the axiom schemes through the deduction theorem to the completeness theorem. Then the full predicate calculus is taken up again, and a smooth-running technique for proving theorem schemes is developed and exploited.\u003cbr\u003eChapter Three is devoted to first-order theories, i.e., mathematical theories for which the predicate calculus serves as a base. Axioms and short developments are given for number theory and a few algebraic theories. Then the metamathematical notions of consistency, completeness, independence, categoricity, and decidability are discussed, and the predicate calculus is proved to be complete. The book concludes with an outline of Godel's incompleteness theorem.\u003cbr\u003eIdeal for a one-semester course, this concise text offers more detail and mathematically relevant examples than those available in elementary books on logic. Carefully chosen exercises, with selected answers, help students test their grasp of the material. For any student of mathematics, logic, or the interrelationship of the two, this book represents a thought-provoking introduction to the logical underpinnings of mathematical theory.\u003cbr\u003eAn excellent text. \u003ci\u003e-- Mathematical Reviews\u003c\/i\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 224\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.47 x 8.45 x 5.4 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 01, 1990\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":51756235817248,"sku":"9780486662695","price":15.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0974\/9764\/5344\/files\/76a06b1f5b8f30126557e14dc7ce75a3.webp?v=1780077138","url":"https:\/\/ebocreations.com\/products\/first-order-mathematical-logic-paperback","provider":"The E-Book Oasis LLC","version":"1.0","type":"link"}