Chapter1MathematicalLogicandSetsInthischapterweintroducesymboliclogicandsettheory.Thesearenotspecifictocalculus,butaresharedamongallbranchesofmathematics.Therearevarioussymboliclogicsystems,andindeedmathematicallogicisitsownbranchofmathematics,butherewelookatthatportionofmathematicallogicwhichshouldbeunderstoodbyanyprofessi...
Lectures in Logic and Set Theory. Volume 1 - Tourlakis - 2003 () Citation Context ...references will depart from this principle and quote the deduction theorem imposing some form of restriction, typically that a formula should be closed (e.g. [16], [25], [27], [33], [37], [38]...
数理逻辑(Mathematical logic)是用数学方法研究诸如推理的有效性、证明的真实性、数学的真理性和计算的可行性等这类现象中的逻辑问题的一门学问。其研究对象是对证明和计算这两个直观概念进行符号化以后的形式系统。数理逻辑是数学基础的一个不可缺少的组成部分。数理逻辑的研究范围是逻辑中可被数学模式化的部分。以前...
First course in mathematical logic and set theory (a)Wiley
Examines advanced topics, such as linking logic with computability... (展开全部) 作者简介· ··· Heinz-Dieter Ebbinghaus is Professor Emeritus at the Mathematical Institute of the University of Freiburg. His work spans fields in logic, such as model theory and set theory, and includes historica...
The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability ...
The only prerequisites demanded of the reader are elementary combinatorial theory and set theory. We lay emphasis on the semantic aspect of logic rather than on syntax; in other words, we are concerned with the connection between formulas and the multirelations, or models, which satisfy them. ...
First order mathematical logic Well-written undergraduate-level introduction begins with symbolic logic and set theory, followed by presentation of statement calculus and predicate calcu... A Margaris - Blaisdell Publishing Co. Ginn and Co., Waltham, Mass.-Toronto, Ont.-London 被引量: 47发表: 19...
On the other hand, this di~culty can be overcome——-even in the framework of first-order logic——by developing mathematics in set-theoretic terms. We explain the prerequisites from set theory necessary for this purpose and then treat the subtle relation between logic and set theory in a ...
Lavrov I. and Maksimova L. . Problems in set theory, mathematical logic, and the theory of algorithms. The University Series in Mathematics, Kluwer Academi... Baldwin,T John 被引量: 0发表: 2014年 Problems in Set Theory, Mathematical Logic and the Theory of Algorithms || Set theory Lavrov...