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Há 3 dias · In sum, by tracing the roots of our concept of number to characteristics of our body and tools, Overmann strengthens the thesis that numbers themselves come from our body and tools, challenging the belief that numbers exist a priori and independently of materiality.
Há 7 horas · Abstract. Anti-revisionism, according to which any revision to a practice should come autonomously from within the practice itself, is a key component of all naturalistic approaches to science and mathematics, yet it is rarely discussed in detail. In this paper, I focus on naturalistic anti-revisionism about mathematics.
Há 2 dias · Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example, rational numbers), or defined as generalizations of the integers (for example, algebraic integers).
Há 2 dias · This is remedied by the following proposition, proved using recent work on primes in arithmetic progressions . Proposition 1.3 There is an absolute constant η > 0 with the following property.
Há 5 dias · Abstract: We partition a series of natural numbers into infinite number sequences. We consider two choices of partitioning: (a) a forest of unary trees with recurrence formula of Mersenne numbers, and (b) a set of arithmetic progressions with difference $2^k$.
Há 5 dias · Philosophy of arithmetic and Frege. After obtaining his PhD in mathematics, Husserl began analyzing the foundations of mathematics from a psychological point of view.
Há 4 dias · Arithmetic is an elementary branch of mathematics that studies numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms . Arithmetic systems can be distinguished based on the type of number they operate on.
