Karl Popper has often been cast as one of the most solitary figures of twentieth-century philosophy. The received image is of a thinker who developed his scientific philosophy virtually alone and in opposition to a crowd of brilliant members of the Vienna Circle. This paper challenges the received view and undertakes to correctly situate on the map of the history of philosophy Popper’s contribution, in particular, his renowned fallibilist theory of knowledge. The motive for doing so is the conviction that (...) the mainstream perspective on Popper’s philosophy makes him more difficult to understand than might otherwise be the case. The thinker who figures most significantly in the account of Popper developed in these pages is Leonard Nelson. Both a neo-Friesian and neo-Kantian, this philosopher deeply influenced Popper through his student Julius Kraft, who met with Popper on numerous occasions in the mid 1920s. It is in the light of this influence that we understand Popper’s recollection that when he criticized the Vienna Circle in the early 1930s, he looked upon himself “as an unorthodox Kantian”. (shrink)

The concept of implicit definition has played a central role in the controversies about the foundations of geometry. The history of this concept, however, exhibits several important confusions. The term has been used in at least three different senses—Gergonne's position, Hilbert's position of the so-called definitions by axioms , and that of Pasch and Dubislav in the sense of Russell's contextual definition. Frege's contribution to the explication of Hilbert's view has occasioned an adequate appraisal in recent years. A summary account (...) is given. The main purpose of the paper is to present some details about the historical development of the transfer of Gergonne's term ‘implicit definition’ to the Hilbert position, a transfer which goes back to the Peano School and was disseminated by Enriques. (shrink)

A dissertation in the tradition of logical positivism includes a discussion of the functions and methods of philosophy and a critique of ethics and theology.

This book introduces a new approach to the issue of radical scientific revolutions, or "paradigm-shifts," given prominence in the work of Thomas Kuhn. The book articulates a dynamical and historicized version of the conception of scientific a priori principles first developed by the philosopher Immanuel Kant. This approach defends the Enlightenment ideal of scientific objectivity and universality while simultaneously doing justice to the revolutionary changes within the sciences that have since undermined Kant's original defense of this ideal. Through a modified (...) Kantian approach to epistemology and philosophy of science, this book opposes both Quinean naturalistic holism and the post-Kuhnian conceptual relativism that has dominated recent literature in science studies. Focussing on the development of "scientific philosophy" from Kant to Rudolf Carnap, along with the parallel developments taking place in the sciences during the same period, the author articulates a new dynamical conception of relativized a priori principles. This idea applied within the physical sciences aims to show that rational intersubjective consensus is intricately preserved across radical scientific revolutions or "paradigm-shifts and how this is achieved. (shrink)

In the early years of the twentieth century, Gottlob Frege and David Hilbert, two titans of mathematical logic, engaged in a controversy regarding the correct understanding of the role of axioms in mathematical theories, and the correct way to demonstrate consistency and independence results for such axioms. The controversy touches on a number of difficult questions in logic and the philosophy of logic, and marks an important turning-point in the development of modern logic. This entry gives an overview of that (...) controversy and of its philosophical underpinnings. (shrink)

Wittgenstein's work remains, undeniably, now, that off one of those few philosophers who will be read by all future generations.

Frege's life and character -- The project -- Frege's new logic -- Defining the numbers -- The reconception of the logic, I-"Function and concept" -- The reconception of the logic, II- "On sense and meaning" and "on concept and object" -- Basic laws, the great contradiction, and its aftermath -- On the foundations of geometry -- Logical investigations -- Frege's influence on recent philosophy.

Einleitung.--Die begriffliche Erkenntniss der Körperwelt.--Natur und Geist.--Natur und Geschichte.--Die historische Begriffsbildung.--Naturphilosophie und Geschichts-Philosophie.

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