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Há 19 horas · Number theory (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. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." [1]
Há 2 dias · The philosophy of arithmetic studies the fundamental concepts and principles underlying numbers and arithmetic operations. It explores the nature and ontological status of numbers, the relation of arithmetic to language and logic , and how it is possible to acquire arithmetic knowledge .
Há 1 dia · In recent years, a new trend has emerged in the philosophy of mathematics, particularly concerning the investigation of the nature of numbers. Research in this area is becoming more interdisciplinary as other fields—such as numerical cognition—are making discoveries and proposing theories that impact the way we understand our experience of numbers and mathematics.
Há 1 dia · This book provides a philosophical account of arithmetical knowledge that is based on the state-of-the-art empirical studies of numerical cognition. It explains how humans have developed arithmetic from humble origins to its modern status as an almost universally possessed knowledge and skill. Central to the account is the ...
Há 3 dias · Professor of philosophy. Heidegger and the Nazi era. Development of his thought. Several early themes. The elaboration of phenomenology. Husserl's thought. Meaning and object. Formal and regional ontology. Philosophy of logic and mathematics. Husserl and psychologism. Philosophy of arithmetic and Frege. Husserl's criticism of psychologism.
6 de mai. de 2024 · A Rosetta Stone for Mathematics. In 1940 André Weil wrote a letter to his sister, Simone, outlining his vision for translating between three distinct areas of mathematics. Eighty years later, it still animates many of the most exciting developments in the field. Kristina Armitage/ Quanta Magazine. In 1940, from a jailhouse in Rouen, France ...
21 de mai. de 2024 · Gödel’s first incompleteness theorem. (Show more) incompleteness theorem, in foundations of mathematics, either of two theorems proved by the Austrian-born American logician Kurt Gödel.
