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This Element defends mathematical anti-realism against an underappreciated problem with that view-a problem having to do with modal truthmaking. Part ...Lees meer
This Element outlines and defends an account of analyticity according to which mathematics is, for the most part, analytic. The author begins by looki...Lees meer
Husserl's Philosophy of Mathematical Practice explores the applicability of the phenomenological method to philosophy of mathematical practice. The fi...Lees meer
This Element discusses the problem of mathematical knowledge, and its broader philosophical ramifications. It argues that the challenge to explain the...Lees meer
This Element addresses the viability of categoricity arguments in philosophy by focusing with some care on the specific conclusions that a sampling of...Lees meer
The aim of this Element is to provide an overview of abstractionism in the philosophy of mathematics. The authors distinguish between mathematical abs...Lees meer
This Element looks at the very beginning of the philosophy of mathematics in Western thought. It covers the first reflections on attempts to untie mat...Lees meer
Discussing various versions of two medieval arguments for the impossibility of infinity, this Element sheds light on early stages of the evolution of ...Lees meer
This Element discusses the philosophical roles of definitions in the attainment of mathematical knowledge. It first focuses on the role of definitions...Lees meer
A proof of a theorem can be said to be pure if it draws only on what is 'close' or 'intrinsic' to that theorem. In this Element we will investigate th...Lees meer
This Element looks at the very beginning of the philosophy of mathematics in Western thought. It covers the first reflections on attempts to untie mat...Lees meer
This Element lays the foundation, introduces a framework, and sketches the program for a systematic study of mathematical notations. It is written for...Lees meer
This Element shows that Plato keeps a clear distinction between mathematical and metaphysical realism and the knife he uses to slice the difference is...Lees meer
This Element aims to present an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. It ranges fro...Lees meer
This Element lays the foundation, introduces a framework, and sketches the program for a systematic study of mathematical notations. It is written for...Lees meer
Husserl's Philosophy of Mathematical Practice explores the applicability of the phenomenological method to philosophy of mathematical practice. The fi...Lees meer
The Element begins by claiming that Imre Lakatos (1922-74) in his famous paper 'Proofs and Refutations' (1963-64) was the first to introduce the histo...Lees meer
What are the meanings of number expressions, and what can they tell us about questions of central importance to the philosophy of mathematics, specifi...Lees meer
The present work is a systematic study of five frameworks or perspectives articulating mathematical structuralism, whose core idea is that mathematics...Lees meer
L. E. J. Brouwer, the founder of mathematical intuitionism, believed that mathematics and its objects must be humanly graspable. He initiated a progra...Lees meer
This Element, written for researchers and students in philosophy and the behavioral sciences, reviews and critically assesses extant work on number co...Lees meer
The Euclidean Programme embodies a traditional sort of epistemological foundationalism, according to which knowledge - especially mathematical knowled...Lees meer
This Element outlines and defends an account of analyticity according to which mathematics is, for the most part, analytic. The author begins by looki...Lees meer
This Element is an introduction to classical computability theory and scientific efforts to use computability-theoretic notions to explain empirical p...Lees meer