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1990
For over one hundred years, the links between logic and mathematics have been so close that it is difficult to think of the one without the other. All the persons chiefly responsible for the development of symbolic logic were both mathematicians and logicians.
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For over one hundred years, the links between logic and mathematics have been so close that it is difficult to think of the one without the other. All the persons chiefly responsible for the development of symbolic logic were both mathematicians and logicians.
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Philosophy of Mathematics and Logic [PDF]
In the present work I attempt to describe Evandro Agazzi’s research on philosophy of logic and mathematics. In particular, after a general introduction to his works, I focus my analysis on the philosophical implications of Godel’s Incompleteness Theorems. This is because they have always remained a constant point of interest in Agazzi’s research.
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Mathematics, Logic and Undecidability
The Mathematical Gazette, 1967Among the greatest advances in knowledge this century one would include relativity, quantum mechanics and the explanation of hereditary replication in living things by the structure of the DNA molecule. But it would not be absurd to include in this category a discovery which is not at all well-known and goes back to 1930, namely, that logic and ...
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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 Stankovic, Jaakko Astola
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The Logic of Mathematical Discovery Vs. the Logical Structure of Mathematics
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association, 1978Mathematics 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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Husserl on mathematics and logic
2023Submission note: A thesis submitted in total fulfilment of the requirements for the degree of Doctor of Philosophy to the School of Social Sciences and Communication, Faculty of Humanities and Social Sciences, La Trobe University, Bundoora.
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Visualization in Logic and Mathematics
2005In the last two decades there has been renewed interest in visualization in logic and mathematics. Visualization is usually understood in different ways but for the purposes of this article I will take a rather broad conception of visualization to include both visualization by means of mental images as well as visualizations by means of computer ...
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Fuzzy Natural Logic: Towards Mathematical Logic of Human Reasoning
Towards the Future of Fuzzy Logic, 2015V. Novák
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On the Importance of Set-Based Meanings for Categories and Connectives in Mathematical Logic
, 2017P. Dawkins
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