Philosophy of Arithmetic: Psychological and Logical Investigations (‹See Tfd›German: Philosophie der Arithmetik. Psychologische und logische Untersuchungen)...
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Arithmetic is an elementary branch of mathematics that studies numerical operations like addition, subtraction, multiplication, and division. In a wider...
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Edmund Husserl (category Academic staff of the University of Freiburg)
foundations of mathematics from a psychological point of view. In his habilitation thesis, On the Concept of Number (1886) and in his Philosophy of Arithmetic (1891)...
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of Arithmetic, and many of his works and essays, including his review of Husserl's Philosophy of Arithmetic. Edmund Husserl, in the first volume of his...
97 KB (11,935 words) - 09:23, 28 September 2024
Karl Popper (redirect from Criticism of Karl Popper's philosophy)
Frank Hutson (1996) Arithmetic and Reality: A Development of Popper's Ideas. City University of Hong Kong. Republished in Philosophy of Mathematics Education...
114 KB (13,998 words) - 07:48, 27 September 2024
Multiplication table (redirect from Tables of multiplication)
traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for arithmetic operations with base-ten numbers...
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Nicomachus (redirect from Introduction to Arithmetic)
says that Nicomachus's philosophy "fits comfortably within the spectrum of contemporary Platonism." In his work on arithmetic, Nicomachus quotes from...
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Peano axioms (redirect from Peano arithmetic)
The axiomatization of arithmetic provided by Peano axioms is commonly called Peano arithmetic. The importance of formalizing arithmetic was not well appreciated...
48 KB (6,430 words) - 14:06, 15 August 2024
John Leslie (physicist) (category Alumni of the University of St Andrews)
chair of natural philosophy, which he held until his death. He published a famous book about multiplication table The Philosophy of Arithmetic in 1820...
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Archaeology, philosophy of - Aristotelianism - Arithmetic, philosophy of - Artificial intelligence, philosophy of - Art, philosophy of - Asceticism -...
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The Foundations of Arithmetic (‹See Tfd›German: Die Grundlagen der Arithmetik) is a book by Gottlob Frege, published in 1884, which investigates the philosophical...
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In the philosophy of mathematics, formalism is the view that holds that statements of mathematics and logic can be considered to be statements about the...
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The history of philosophy is the systematic study of the development of philosophical thought. It focuses on philosophy as rational inquiry based on argumentation...
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XVIII". In Search of the Miraculous: Fragments of an Unknown Teaching. London: Routledge. Leslie, John (1820). The Philosophy of Arithmetic: Exhibiting a...
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Gottlob Frege (redirect from The Basic Laws of Arithmetic)
of arithmetic. Dummett, Michael, 1991. Frege: Philosophy of Mathematics. Harvard University Press. Demopoulos, William, ed., 1995. Frege's Philosophy...
48 KB (5,361 words) - 06:43, 5 September 2024
Dallas Willard (category University of Wisconsin–Madison College of Letters and Science alumni)
Legacy of Willard”. Philosophy of Logic and Mathematics (1993). Dordrecht/Boston: Kluwer Academic Publishers, ISBN 0-7923-2262-2 Philosophy of Arithmetic, (2003)...
16 KB (1,573 words) - 09:24, 12 April 2024
Psychologism (category Philosophy of mathematics)
Foundations of Arithmetic, and many of his works and essays, including his review of Husserl's Philosophy of Arithmetic. Husserl, in the first volume of his Logical...
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mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is...
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Presburger arithmetic is the first-order theory of the natural numbers with addition, named in honor of Mojżesz Presburger, who introduced it in 1929....
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logic, Heyting arithmetic H A {\displaystyle {\mathsf {HA}}} is an axiomatization of arithmetic in accordance with the philosophy of intuitionism. It...
37 KB (6,263 words) - 11:59, 30 August 2024
November 11, 2013. Paraconsistent Logic § Arithmetic and Gödel's Theorem entry in the Stanford Encyclopedia of Philosophy. MacTutor biographies: Kurt Gödel....
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Logical Investigations (Husserl) (category Philosophy of mathematics literature)
been attributed to the philosopher Gottlob Frege's criticism of his Philosophy of Arithmetic (1891). The Logical Investigations influenced philosophers...
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Number theory (redirect from Higher arithmetic)
(or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions...
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From the time of Plato through the Middle Ages, the quadrivium (plural: quadrivia) was a grouping of four subjects or arts—arithmetic, geometry, music...
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Related Systems Organon Philosophy of Arithmetic Polish Logic Port-Royal Logic Posterior Analytics Principia Mathematica Principles of Mathematical Logic Prior...
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Cyclic number (section Form of cyclic numbers)
pp. 109–115. Leslie, John. "The Philosophy of Arithmetic: Exhibiting a Progressive View of the Theory and Practice of ....", Longman, Hurst, Rees, Orme...
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Pythagoreanism (redirect from Pythagorean philosophy)
the arithmetic of Nicomachus, who had fashioned himself as heir of Pythagoras, and took things further by studying the etymology of the name of each...
78 KB (10,021 words) - 08:19, 29 September 2024
Frege's The Foundations of Arithmetic (1884) was the first analytic work, according to Michael Dummett (Origins of Analytical Philosophy, 1993). Frege was the...
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Philosophy of accounting Philosophy of action Philosophy of Africa Philosophy of Aristotle Philosophy of Arithmetic (book) Philosophy of art Philosophy of artificial...
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founded in 425 a major university with 31 chairs for law, philosophy, medicine, arithmetic, geometry, astronomy, music, rhetoric and other subjects. Fifteen...
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