Imre Lakatos' philosophical and scientific papers are published here in two volumes. Volume I brings together his very influential but scattered papers on the philosophy of the physical sciences, and includes one important unpublished essay on the effect of Newton's scientific achievement. Volume II presents his work on the philosophy of mathematics (much of it unpublished), together with some critical essays on contemporary philosophers of science and some famous polemical writings on political and educational issues. Imre Lakatos had (...) an influence out of all proportion to the length of his philosophical career. This collection exhibits and confirms the originality, range and the essential unity of his work. It demonstrates too the force and spirit he brought to every issue with which he engaged, from his most abstract mathematical work to his passionate 'Letter to the director of the LSE'. Lakatos' ideas are now the focus of widespread and increasing interest, and these volumes should make possible for the first time their study as a whole and their proper assessment. (shrink)

Imre Lakatos; II—Criticism and the Methodology of Scientific Research Programmes, Proceedings of the Aristotelian Society, Volume 69, Issue 1, 1 June 1969, Page.

Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture (...) of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations. (shrink)

v. 1. The methodology of scientific research programmes.--v. 2. Mathematics, science, and epistemology.

The work that helped to determine Paul Feyerabend's fame and notoriety, Against Method,stemmed from Imre Lakatos's challenge: "In 1970 Imre cornered me at a party. 'Paul,' he said, 'you have such strange ideas.

A system of tensed intensional logic excluding iterations of intensions is introduced. Instead of using the type symbols (for ‘sense’), extensional and intensional functor types are distinguished. A peculiarity of the semantics is the general acceptance of value-gaps (including truth-value-gaps): the possible semantic values (extensions) of extensional functors are partial functions. Some advantages of the system (relatively to R. Montague's intensional logic) are briefly indicated. Also, applications for modelling natural languages are illustrated by examples.

Imre Lakatos' philosophical and scientific papers are published here in two volumes. Volume I brings together his very influential but scattered papers on the philosophy of the physical sciences, and includes one important unpublished essay on the effect of Newton's scientific achievement. Volume 2 presents his work on the philosophy of mathematics (much of it unpublished), together with some critical essays on contemporary philosophers of science and some famous polemical writings on political and educational issues.

“Deus fons veritatis”: the Subject and its Freedom. The Ontic Foundation of Mathematical Truth is the title of Gaspare Polizzi’s long biographical-theoretical interview with Imre Toth. The interview is divided into eight parts. The first part describes the historical and cultural context in which Toth was formed. A Jew by birth, during the Second World War Toth became a communist and a partisan, enduring prison, torture, and internment in a concentration camp from 1940 until 6 June 1944. In the (...) second part Toth presents his mathematical training as a “vocation” that led him to rethink the whole tradition of mathematical thought critically, on the basis of non-Euclidean geometry. In the third part Toth describes his research in the history of mathematics, which begin with his studies on Aristotle and mathematical thought and on Plato and the negative ontology of the irrational recognizable in the theory of the infinite dyad and of the One. In the fourth part Toth criticizes the positions of Frege, who came to deny non-Euclidean geometry, viewing it as an expression of irrationality and mysticism. In the fifth part Toth maintains that mathesis and poiesis have similar ontological structures, and he speaks of his collages métaphysiques. In the sixth part Toth recalls how the birth of the idea of freedom made possible the highest political, social and artistic achievements, as well as the entire movement of human emancipation. And this was thanks to philosophy, which is not a science but a knowledge of the subject on the subject’s part. In the seventh and eighth parts Toth speaks of the value and the role of mathematics in the affirmation of the phenomenology of freedom, and remarks on his relations with French and Italian cultures. (shrink)

This book examines Tangut translations of secular Chinese texts excavated from the ruins of Khara-khoto. After providing an overview of Tangut history and an introduction to the emergence of the field of Tangut studies, it presents four case studies grouped around different themes. A central concern of the book is the phenomenon of Tangut appropriation of Chinese written culture through translation and the reasons behind this.

In landscape ecology spatial descriptors (or indices) can be used to characterize habitats. Some of these descriptors can be used for habitat's ranking; this ranking is very important for conservation purposes. We would like to show that two traditional descriptors, namely the compactness and interior-to-edge ratio can give contradictory results. Being the second one is a more relevant descriptor, we would like to propose to avoid the further use the compactness in habitat's ranking.

In the mathematical documents which have come down to us from these peoples, there are no theorems or demonstrations, and the fundamental concepts of ...