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
The list of questions situated along the border of linguistics and philosophy, the answers to which are far from univocally accepted, is long; without pretending to exhaustivity, let me indicate at least some of the most important: • the nature of language: Should we see language primarily...
important insights with respect to, for example, different versions structuralism, the notion of “natural number” and its uniqueness, induction, predicativity and other things, for which he is rightly famous, but that his way of drawing on the notion of intuition leaves too many questions ...
and returns a score assessing it. The ‘solve’ function contains the algorithm skeleton, which calls the function to evolve that contains the crucial logic.a, Cap set. The function to evolve is called ‘priority’.b, Online bin packing. The function to evolve is called ‘heuristic’. The ...
has been the subject of a great deal of research over the past few decades (Kroll & Miller, 1993; Lesh & Zawojewski, 2007; Wilson et al., 1993), Lester and Cai (2016) point out that: “there remain far more questions than answers about this complex form of activity” (p. 118)....
They expect us to ask questions and for them to give the answers because that is they way they have been educated. This book aims to give them the questions they need to ask so they don’t need me anymore. I’d just like to thank... This book has had a rather lengthy genesis and...
I gave them problems to do, but I did not explain how to get the answers, and the questions I expected them to answer went beyond simply determining whether they could get the solutions. I also expected them to answer questions about mathematical assumptions and the legitimacy of their ...
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apply this methodology to models of set theory as well. when we consider models of such expressive theories as set theories, it is natural to compare structures by means of embeddings. any embedding exhibits the domain as a substructure of the co-domain, but we can ask various questions ...
Alongside his tutoring, Davies continued his geometrical research, publishing in several periodicals including thePhilosophical Magazine, theLadies’ Diary, theGentleman’s DiaryandLeybourn’s Repository.Footnote17His contributions included answers to mathematical questions as well as articles, usually on an...