How Galileo Galilei discovered the law of fall, and the difference that this makes Galileo’s law of fall is one of the crucial building blocks of classical mechanics. The question how this law was discovered has often been a topic of debate. This article offers a reconstruction of the developments within Galileo’s research that led to the discovery of the law. This reconstruction is offered to make a philosophical point regarding the epistemic status of experimental results: Galileo’s experiments can offer (...) sufficient justification for the acceptance of the law of fall only because of their place in a broad research programme. (shrink)

It is argued that, contrary to prevailing opinion, Bas van Fraassen nowhere uses the argument from underdetermination in his argument for constructive empiricism. It is explained that van Fraassen’s use of the notion of empirical equivalence in The Scientific Image has been widely misunderstood. A reconstruction of the main arguments for constructive empiricism is offered, showing how the passages that have been taken to be part of an appeal to the argument from underdetermination should actually be interpreted.

Recent years saw the rise of an interest in the roles and significance of thought experiments in different areas of human thinking. Heisenberg's gamma ray microscope is no doubt one of the most famous examples of a thought experiment in physics. Nevertheless, this particular thought experiment has not received much detailed attention in the philosophical literature on thought experiments up to date, maybe because of its often claimed inadequacies. In this paper, I try to do two things: to provide an (...) interesting interpretation of the roles played by Heisenberg's gamma ray microscope in interpreting quantum mechanics – partly based on Thomas Kuhn’s views on the function of thought experiments – and to contribute to the ongoing discussions on the roles and significance of thought experiments in physics. (shrink)

Galileo proposed what has been called a proto-inertial principle, according to which a body un horizontal motion will conserve its motion. This statement is only true in counterfactual circumstances where no impediments are present. This paper analyzes how Galileo could have been justified in ascribing definite properties to this idealized motion. This analysis is then used to better understand the relation of Galileo’s proto-inertial principle to the classical inertial principle.

I show why Michael Friedman’s idea that we should view new constitutive frameworks introduced in paradigm change as members of a convergent series introduces an uncomfortable tension in his views. It cannot be justified on realist grounds, as this would compromise his Kantian perspective, but his own appeal to a Kantian regulative ideal of reason cannot do the job either. I then explain a way to make better sense of the rationality of paradigm change on what I take to be (...) Friedman’s own terms. (shrink)

The concept of impetus denoted the transmission of a power from the mover to the object moved. Many authors resorted to this concept to explain why a projectile keeps on moving when no longer in contact with its initial mover. But its application went further, as impetus was also appealed to in attempts to explain the acceleration of falling bodies or the motion of the heavens. It was widely applied in Renaissance natural philosophy, but it also raised a number of (...) ontological questions concerning its precise nature. (shrink)

The introduction of laws of nature is often seen as one of the hallmarks of the Scientific Revolution of the seventeenth century. The new sciences are thought to have introduced the revolutionary idea that explanations of natural phenomena have to be grounded in exceptionless regularities of universal scope, i. e. laws of nature. The use of legal terminology to talk about natural regularities has a longer history, though. This article traces these earlier uses.

Horology refers to the measurement of time, as well as the art of building instruments with which to study and measure time. There were two important developments in the early modern period: the dramatic improvement of the quality of mechanical clocks due to highly skilled craftsmen, and the introduction of the pendulum as time-keeper in the escapement mechanism. The latter innovation not only allowed a further jump in precision, it also had important conceptual implications.

Akin to the mathematical recreations, John Wilkins' Mathematicall Magick (1648) elaborates the pleasant, useful and wondrous part of practical mathematics, dealing in particular with its material culture of machines and instruments. We contextualize the Mathematicall Magick by studying its institutional setting and its place within changing conceptions of art, nature, religion and mathematics. We devote special attention to the way Wilkins inscribes mechanical innovations within a discourse of wonder. Instead of treating ‘wonder’ as a monolithic category, we present a typology, (...) showing that wonders were not only recreative, but were meant to inspire Wilkins' readers to new mathematical inventions. (shrink)

Starting with a discussion of what I call Koyré’s paradox of conceptual novelty, I introduce the ideas of Damerow et al. on the establishment of classical mechanics in Galileo’s work. I then argue that although the view of Damerow et al. on the nature of Galileo’s conceptual innovation is convincing, it misses an essential element: Galileo’s use of the experiments described in the first day of the Two New Sciences. I describe these experiments and analyze their function. Central to my (...) analysis is the idea that Galileo’s pendulum experiments serve to secure the reference of his theoretical models in actually occurring cases of free fall. In this way Galileo’s experiments constitute an essential part of the meaning of the new concepts of classical mechanics. (shrink)

In this paper I challenge Paolo Palmieri’s reading of the Mach-Vailati debate on Archimedes’s proof of the law of the lever. I argue that the actual import of the debate concerns the possible epistemic (as opposed to merely pragmatic) role of mathematical arguments in empirical physics, and that construed in this light Vailati carries the upper hand. This claim is defended by showing that Archimedes’s proof of the law of the lever is not a way of appealing to a non-empirical (...) source of information, but a way of explicating the mathematical structure that can represent the empirical information at our disposal in the most general way. (shrink)