The paper explores Hermann Weyl’s turn to intuitionism through a philosophical prism of normative framework transitions. It focuses on three central themes that occupied Weyl’s thought: the notion of the continuum, logical existence, and the necessity of intuitionism, constructivism, and formalism to adequately address the foundational crisis of mathematics. The analysis of these themes reveals Weyl’s continuous endeavor to deal with such fundamental problems and suggests a view that provides a different perspective concerning Weyl’s wavering foundational positions. Building on a (...) philosophical model of scientific framework transitions and the special role that normative indecision or ambivalence plays in the process, the paper examines Weyl’s motives for considering such a radical shift in the first place. It concludes by showing that Weyl’s shifting stances should be regarded as symptoms of a deep, convoluted intrapersonal process of self-deliberation induced by exposure to external criticism. (shrink)

Two essential Kantian insights are the significance for rationality of the capacity for criticism and the limits of cognition, discovered when criticism is pursued methodically, that are due to the perspectival character of the human standpoint. After a period of disparagement, these Kantian insights have been sympathetically construed and are now discussed within contemporary analytic philosophy. However, if Kant’s assumption of a single, immutable, human framework is jettisoned, then the rationality of historical succession is called into question. Moreover, if the (...) revolutionary character of framework transitions is acknowledged, then reason is historicized and even its character as reason is threatened. I argue that Menachem Fisch’s approach to criticism and rationality offers an escape from this post-Kantian predicament that acknowledges revolutionary framework transitions and that draws upon the dialogical traditions of Jewish thought, and I also argue that Fisch’s approach should be seen as thematizing, to use the terms of Kant’s aesthetics and of Fichte’s account of natural right, the reflecting rather than determining status of critical judgement, which involves second-personal address. (shrink)

I have always been a philosopher at heart. I write history of science and history of its philosophy primarily as a philosopher wary of his abstractions and broad conceptualizations. But that has not always been the case. Lakatos famously portrayed history of science as the testing ground for theories of scientific rationality. But he did so along the crudest Hegelian lines that did injury both to Hegel and to the history and methodology of science. Since science is ultimately rational, he (...) argued, rival methodologies can prove their mettle by competing for whose tendentiously reconstructed account of the history of science renders more of it rational! My own approach to the relationship between history and philosophy of science started out perhaps a little more open-mindedly than Lakatos’s, but in a manner no less crude. Over the years the relationship between the history I wrote and the philosophy to which I was committed took on a firmer and more reciprocal shape. It did so in the course of a process that I now realize exemplified the philosophical position it eventually yielded. I would like to trace that development in the following pages and reflect as best I can on where it has lead and left me. (shrink)