It is shown that it is possible to construct a realist philosophy of mathematics which commits one neither to dream the dreams of Platonism nor to reduce the word 'realism' to mere noise.Expand

I am extremely happy that Professor Dag Prawitz took part in this conference. I owe a great deal to his pioneering researches into natural deduction and into the relation between theories of meaning… Expand

Crispin Wright’s discussion of my paper on Godel’s incompleteness theorem has the great merit of linking the principal topic of that with the more celebrated thesis of Lucas, recently endorsed by… Expand

1. Truth and the foundations of mathematics. An introduction 2. Truth and obvjectivity from a verificationist point of view 3. Constructive truth in practice 4. On founding the theory of algorithms… Expand

Preface. Abbreviations. Part 1: Philosophy of Language. The Social Aspect of Language D. Davidson. Singular Terms B. Hale. Philosophical Theorizing and Particularism: Michael Dummett on… Expand

This paper introduces an algebra for the manipulation of different conceptual spaces in order to formalise the process whereby an artificial agent rearranges its internal conceptual representations as a consequence of its perceptions, which are here rendered in terms of measurement processes.Expand

In this work, a cognitive agent must also be able to ‘produce a new space’ by means of ‘global’ operations which, acting on a conceptual space taken as a whole, generate other conceptual spaces.Expand

The main task of this paper is to develop the non-Platonist view of mathematics as a science of structures I have called, borrowing the label from Putnam, ‘realism with the human face’.
According to… Expand

The present paper aims at showing that there are times when set theoretical knowledge increases in a non-cumulative way. In other words, what we call ‘set theory’ is not one theory which grows by… Expand

This paper aims at giving a contribution to the ongoing attempt to turn the theory of pattern-recognition into a rigorous science. In this article we address two problems which lie at the foundations… Expand