Books in the Logic, Epistemology, and the Unity of Science series

Accordingly, the sociological and historical interpretation - volves in fact two kinds of discontinuity which are closely related: the discontinuity of science as such and the discontinuity of the more inclusive political and social context of its development.

This edited book brings together research work in the field of constructive semantics with scholarship on the phenomenological foundations of logic and mathematics.

This open access book examines the many contributions of Paul Lorenzen, an outstanding philosopher from the latter half of the 20th century. It features papers focused on integrating Lorenzen's original approach into the history of logic and mathematics. The papers also explore how practitioners can implement Lorenzen¿s systematical ideas in today¿s debates on proof-theoretic semantics, databank management, and stochastics.Coverage details key contributions of Lorenzen to constructive mathematics, Lorenzen¿s work on lattice-groups and divisibility theory, and modern set theory and Lorenzen¿s critique of actual infinity. The contributors also look at the main problem of Grundlagenforschung and Lorenzen¿s consistency proof and Hilbert¿s larger program. In addition, the papers offer a constructive examination of a Russell-style Ramified Type Theory and a way out of the circularity puzzle within the operative justification of logic and mathematics.Paul Lorenzen's name is associated with the Erlangen School of Methodical Constructivism, of which the approach in linguistic philosophy and philosophy of science determined philosophical discussions especially in Germany in the 1960s and 1970s. This volume features 10 papers from a meeting that took place at the University of Konstanz.

The first category includes papers on non-classical logics, including intuitionistic logic, constructive logic, basic logic, and substructural logic.