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From Logic to Mathematical Logic
2011Although methods of logic and were obviously present in many cultures, which all used some intricate systems of reasoning, it is commonly accepted that explicit analysis of the principles of reasoning were developed independently in China, India, and Greece. The later being the most influential to the systems of logic in the West.
Radomir S. Stanković, Jaakko Astola
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Communicative Rationality, Logic, and Mathematics
2008Based upon some explanations of the notions of communicative rationality in the sense of Habermas, and of communicative logic in the sense of the late C. S. Peirce, the author argues that the final meaning of mathematics is to be an aid for the rational communication of man.
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2001
Abstract Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. It is a major element in theoretical computer science and has undergone a huge revival with the every- growing importance of computer science.
René Cori +2 more
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Abstract Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. It is a major element in theoretical computer science and has undergone a huge revival with the every- growing importance of computer science.
René Cori +2 more
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The Logic of Mathematical Discovery versus The Logical Structure of Mathematics
1998Abstract Mathematics offers us a puzzling contrast. On the one hand it is supposed to be the paradigm of certain and final knowledge: not fixed, to be sure, but a steadily accumulating coherent body of truths obtained by successive deduction from the most evident truths.
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Big Ideas from Logic for Mathematics and Computing Education
Lecture Notes in Computer Science, 2023R Ramanujam, Ramanujam R
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Fuzzy logic and Gagné learning hierarchy for assessing mathematics skills
Science Progress, 2021Jinn-Tsong Tsai, Yao-Mei Chen
exaly
2007
This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem ...
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This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem ...
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On the Adequacy of a Substructural Logic for Mathematics and Science
Philosophical Quarterly, 2022Neil Tennant, Tennant Neil
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The Logic of Mathematics and Mathematical Logic
Danish Yearbook of Philosophy, 1970openaire +1 more source