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8. Aug. 2015 · The Philosophy of Arithmetic: Exhibiting a Progressive View of the Theory and Practice of Calculation, With Tables for the Multiplication of Numbers As Far As One Thousand: Authors: John Leslie, University Professor Emeritus John Leslie, Sir: Edition: illustrated: Publisher: Creative Media Partners, LLC, 2015: ISBN: 1296561984, 9781296561987 ...
Modern philosophy of mathematics began with the foundational studies of Cantor, Dedekind, and K. T. W. Weierstrass in the late 19th century. It received its fundamental impulse from the work of Frege and Russell on the relations between numbers, sets, and logic. The logicist programme in the philosophy of mathematics, culminating in Russell and ...
Abstract. This essay is concerned with the question of how Husserl accounted in his Philosophy of Arithmetic 1 for the aspect of wholeness of aggregates which are defined as being any collection of objects. It will be shown that Husserl’s notion of “collective connection” is the key concept to be considered.
The philosophy of mathematics is also one of the oldest academic fields, more or less coeval with philosophy itself. But contemporary philosophy of mathematics is rather different from its pre-twentieth-century antecedents, largely for three reasons. The first is that since the seventeenth century, mathematics has become integral to science.
13. Juni 2002 · Abstract. This book is a critical examination of the astonishing progress made in the philosophical study of the properties of the natural numbers from the 1880s to the 1930s. It reassesses the brilliant innovations of Frege, Russell, Wittgenstein, and others, which transformed philosophy as well as the understanding of mathematics.
Two studies in the reception of Kant's philosophy of arithmetic. Charles Parsons - 2010 - In Michael Friedman, Mary Domski & Michael Dickson (eds.), Discourse on a New Method: Reinvigorating the Marriage of History and Philosophy of Science. Open Court. Frege, Kant, and the logic in logicism. John MacFarlane - 2002 - Philosophical Review 111 (1 ...
9.2.10 Fundamental Theorem of Arithmetic (c. 300 BCE) 165 9.3 Some famous open problems 167 9.3.1 Riemann hypothesis 167 9.3.2 The twin prime conjecture 167 9.3.3 Goldbach’s conjecture 168 Cambridge University Press 978-0-521-82602-0 - An Introduction to the Philosophy of Mathematics Mark Colyvan Frontmatter More information
