Still today it remains unclear whether Galileo ever climbed the leaning tower of Pisa in order to drop bodies from its top. Some believe that he established the principle of equal speeds for falling bodies by means of an ingenious thought experiment. However, the reconstruction of that thought experiment circulating in the philosophical literature is no more than a cartoon. In this paper I will tell the story of the thought processes behind the cartoon.Keywords: Galileo Galilei; Thought experiment; Falling bodies.

The word akoumena succinctly refers to the main focus of the book, which is the natural philosophy of human hearing from the perspective of intellectual history of science and of philosophy, with a theoretical emphasis on phenomenology. The word akoumena suggests a move away from the language of vision which has been predominant throughout Western thought, both in the modern natural sciences and in Western metaphysics.

This book explores the life of Galileo Galilei through a philosophical and scientific lens, utilizing an innovative hermeneutic perspective that places his work in the wider context of early modern hermeticism, religious heresy, and libertinism. As the first comprehensive study of Galileo’s life and work from a phenomenological and existentialist viewpoint, Paolo Palmieri calls into question the positivist myth of Galileo, the founder of modern science, and interrogates the positivist historiography that has shaped the myth since the historic publication of (...) the monumental edition of Galileo’s works at the turn of the twentieth century. The book highlights the entanglement of Galileo’s natural philosophy with his private unorthodox convictions about Christian theology, Biblical hermeneutic, sexuality, and the hidden traditions of Italian heretics and libertines. The text demonstrates the philosophical, pedagogical, and political implications of this new reading of one of the founding fathers of modernity for both the sciences and the humanities. Addressing hotly debated questions of ethnicity, racism, subjectivity, the self, and pedagogy, this study will be of particular interest to scholars who teach both undergraduate and graduate courses in history of science, philosophy of science, phenomenology and existential philosophy, cultural studies, Italian studies, humanism, and the European Renaissance. (shrink)

Evangelista Torricelli is perhaps best known for being the most gifted of Galileo’s pupils, and for his works based on indivisibles, especially his stunning cubature of an infinite hyperboloid. Scattered among Torricelli’s writings, we find numerous traces of the philosophy of mathematics underlying his mathematical practice. Though virtually neglected by historians and philosophers alike, these traces reveal that Torricelli’s mathematical practice was informed by an original philosophy of mathematics. The latter was dashed with strains of Thomistic metaphysics and theology. Torricelli’s (...) philosophy of mathematics emphasized mathematical constructs as human-made beings of reason, yet mathematical truths as divine decrees, which upon being discovered by the mathematician ‘appropriate eternity’. In this paper, I reconstruct Torricelli’s philosophy of mathematics—which I label radical mathematical Thomism—placing it in the context of Thomistic patterns of thought.Keywords: Evangelista Torricelli; Thomism; Eternity; Indivisibles; Proportions. (shrink)

Bonaventura Cavalieri has been the subject of numerous scholarly publications. Recent students of Cavalieri have placed his geometry of indivisibles in the context of early modern mathematics, emphasizing the role of new geometrical objects, such as, for example, linear and plane indivisibles. In this paper, I will complement this recent trend by focusing on how Cavalieri manipulates geometrical objects. In particular, I will investigate one fundamental activity, namely, superposition of geometrical objects. In Cavalieri’s practice, superposition is a means of both (...) manipulating geometrical objects and drawing inferences. Finally, I will suggest that an integrated approach, namely, one which strives to understand both objects and activities, can illuminate the history of mathematics. (shrink)

In the phenomenology of the consciousness of internal time, Edmund Husserl has frequent recourse to sound and melody as illustrations of the processes that give rise to immanent temporal objects. In Husserl’s analysis, there is a philosophically pregnant tension between the geometrical diagrams representing multiple dimensions of immanent time and his intuition that time-points might be no more than fictions leading to absurdities. In this paper, I will address this tension in order to motivate a complementarity approach to temporal objects (...) such as sound and melody that might illuminate the phenomenology of sound-consciousness. (shrink)

About a century ago, Ernst Mach argued that Archimedes’s deduction of the principle of the lever is invalid, since its premises contain the conclusion to be demonstrated. Subsequently, many scholars defended Archimedes, mostly on historical grounds, by raising objections to Mach’s reconstruction of Archimedes’s deduction. In the debate, the Italian philosopher and historian of science Giovanni Vailati stood out. Vailati responded to Mach with an analysis of Archimedes’s deduction which was later quoted and praised by Mach himself. In this paper, (...) my objective is to show that the debate can be further advanced, as Mach indicated, by reframing it in terms of the empirical vs. the logical dimensions of mechanics. In this way, I will suggest, the debate about Archimedes’s deduction can be resolved in Mach’s favour.Keywords: Equilibrium; Experience; Thought experiment; Archimedes; Ernst Mach; Giovanni Vailati. (shrink)

In response to Maarten Van Dyck’s commentary, I present a translation of Vailati’s original paper with a short introductory note.Keywords: Giovanni Vailati; Ernst Mach; Archimedes; Balance.