In the mid-1760s, Johann Heinrich Lambert wrote a letter to Kant who offered cooperation with a view to reforming metaphysics. Based on the short correspondence between the two philosophers, it can be shown that this cooperation could never really come about. Nevertheless the thesis was sometimes put forward in research that Lambert had a defining influence on Kant’s Metaphysical Foundations of Natural Science, also, and above all, with regard to the Newton-critical moments of this natur­al theory. However, this thesis can (...) only be confirmed in relation to individual theorems, such as the relationship between attraction and repulsion force, even though the reasons for Lambert and Kant’s deviation from Newton’s theory of gravity also differ. For in its main features the transcendental metaphysics of Kant’s nature is substantially different from the mathematical methodology of Lambert’s theory of nature. In addition, Lambert stuck throughout his life to a theonomous natural teleology in the succession of Wolff, which was fundamentally made impossible by the Critique of Pure Reason: because the wise “intention of the creator”, which Lambert’s empirical-rationalistic cosmology could not and did not want to do without, could no longer be referred to in a rational context according to the Critique of Pure Reason. Even if Lambert certainly had moments of the Kantian theory of matter or — as Kant himself admitted — elements of the spatial theory of the first Critique, there is no way from his mathematisation of metaphysics and his natural teleology to the fundamental innovation of the Metaphysical Foundations. (shrink)

Depending on different positions in the debate on scientific realism, there are various accounts of the phenomena of physics. For scientific realists like Bogen and Woodward, phenomena are matters of fact in nature, i.e., the effects explained and predicted by physical theories. For empiricists like van Fraassen, the phenomena of physics are the appearances observed or perceived by sensory experience. Constructivists, however, regard the phenomena of physics as artificial structures generated by experimental and mathematical methods. My paper investigates the historical (...) background of these different meanings of phenomenon in the traditions of physics and philosophy. In particular, I discuss Newton’s account of the phenomena and Bohr’s view of quantum phenomena, their relation to the philosophical discussion, and to data and evidence in current particle physics and quantum optics. (shrink)

In the section of the Antinomy of pure Reason Kant presents three notions of infinity. By investigating these concepts of infinity, this paper highlights important ‘building blocks’ of the structure of the mathematical antinomies, such as the ability of reason of producing ascending and descending series, as well as the notions of given and givable series. These structural features are discussed in order to clarify Ernst Zermelo’s reading of Kant’s antinomy, according to which the latter is deeply rooted in the (...) tendency of the mind of producing “creative progress” and “inclusive closure”. The aim of this paper is to explain in which sense and why Kant’s treatment of the antinomies attracts the attention of Zermelo in the early 1900s and which aspects of his second axiomatic system have been inspired by Kant’s philosophy. Thus, by reading Kant’s antinomy ‘through Zermelo’s eyes’—with emphasis on the concept of regressive series in indefinitum and on that of regressive series ad infinitum – this paper identifies the echoes of Kant’s work in the making of the ZFC set theory. (shrink)