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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 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
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
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
The present work is a systematic study of five frameworks or perspectives articulating mathematical structuralism, whose core idea is that mathematics...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
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
The Euclidean Programme embodies a traditional sort of epistemological foundationalism, according to which knowledge - especially mathematical knowled...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
This Element answers four questions. Can any traditional theory of scientific explanation make sense of the place of mathematics in explanation? If tr...Lees meer
This Element looks at the contemporary debate on the nature of mathematical rigour and informal proofs as found in mathematical practice. The central ...Lees meer
This Element looks at the problem of inter-translation between mathematical realism and anti-realism and argues that so far as realism is inter-transl...Lees meer
For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical me...Lees meer
Beginning in the nineteenth century, mathematics' traditional domains of 'number and figure' became vigorously displaced by altered settings in which ...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
Our best scientific theories explain a wide range of empirical phenomena, make accurate predictions, and are widely believed. Since many of these theo...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
Paraconsistent logic makes it possible to study inconsistent theories in a coherent way. From its modern start in the mid-20th century, paraconsistenc...Lees meer
The Euclidean Programme embodies a traditional sort of epistemological foundationalism, according to which knowledge - especially mathematical knowled...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
This Element looks at the contemporary debate on the nature of mathematical rigour and informal proofs as found in mathematical practice. The central ...Lees meer