V pričujočem sklopu so prevedena izbrana pisma Galilea Galileija ter njegovih korespondentov o problematiki razmerja med naravoslovnim oz. filozofskim raziskovanjem in Svetim pismom in s to problematiko povezani dokumenti iz Vatikanskega tajnega arhiva iz obdobja t. i. Galileijevega prvega procesa. Sklop zaključuje Galileijeva Razprava o morskem plimovanju, ki vsebinsko sicer ne zadeva omenjene problematike, je pa nastala kot posledica takratnega dogajanja. Vsa pisma so prevedena po kritični izdaji Galileijevih del, Le Opere di Galileo Galilei, ur. Antonio Favaro, Barbèra, Firence (...) 1890–1909. Dokumenti iz Vatikanskega tajnega arhiva so prevedeni po kritični izdaji I documenti vaticani del processo di Galileo Galilei. Nuova edizione accresciuta, rivista e annotata da Sergio Pagano, Archivio segreto vaticano, Mesto Vatikan 2009. Prevod Mojca Mihelič. Besedili Galileo Galilei poklican h kardinalu Bellarminu in Ukor kardinala Roberta Bellarmina Galileu Galileiju je prevedel Gašper Kvartič. Opombe in komentarji Matjaž Vesel in Mojca Mihelič. (shrink)
This article investigates and resolves the question whether gauge symmetry can display analogs of the famous Galileo’s ship scenario. In doing so, it builds on and clarifies the work of Greaves and Wallace on this subject.
By carefully examining one of the most famous thought experiments in the history of science—that by which Galileo is said to have refuted the Aristotelian theory that heavier bodies fall faster than lighter ones—I attempt to show that thought experiments play a distinctive role in scientific inquiry. Reasoning about particular entities within the context of an imaginary scenario can lead to rationally justified concluusions that—given the same initial information—would not be rationally justifiable on the basis of a straightforward argument.
In this essay, I shall take up the theme of Galileo’s notion of cause, which has already received considerable attention. I shall argue that the participants in the debate as it stands have overlooked a striking and essential feature of Galileo’s notion of cause. Galileo not only reformed natural philosophy, he also – as I shall defend – introduced a new notion of causality and integrated it in his scientific practice. Galileo’s conception of causality went hand (...) in hand with his methodology. It is my claim that Galileo was trying to construct a new scientifically useful notion of causality. This new notion of causality is an interventionist notion. (shrink)
FIRST DAY INTERLOCUTORS: SALVIATI, SA- GREDO AND SIMPLICIO ALV. The constant activity which you Venetians display in your famous arsenal suggests to the ...
Galileo claimed inconsistency in the Aristotelian dogma concerning falling bodies and stated that all bodies must fall at the same rate. However, there is an empirical situation where the speeds of falling bodies are proportional to their weights; and even in vacuo all bodies do not fall at the same rate under terrestrial conditions. The reason for the deficiency of Galileo’s reasoning is analyzed, and various physical scenarios are described in which Aristotle’s claim is closer to the truth (...) than is Galileo’s. The purpose is not to reinstate Aristotelian physics at the expense of Galileo and Newton, but rather to provide evidence in support of the verdict that empirical knowledge does not come from prior philosophy.Author Keywords: Author Keywords: Aristotle; Galileo; Thought experiments; Falling bodies. (shrink)
In this essay, I will lay out first in some detail the exegetical principles implicit in Augustine's treatment of an early apparent conflict between Scripture and the findings of “sense or reason.” Then I will analyze Galileo's two major discussions of the issue, first in his Letter to Castelli, and then in his Letter to the Grand Duchess, touching on Foscarini's ill-fated Letter in between. I will turn then to an internal tension that many commentators have perceived within the (...) exegetic principles that Galileo deploys in meeting the theological challenge to Copernicanism. The tension was, broadly speaking, between two rather different strategies for dealing with that challenge. According to the more radical choice, the strategy would be to deny the relevance of Scripture to our knowledge of the natural world. The more conservative strategy would be to allow that the authority of divine revelation extended to passages in Scripture describing features of the natural world but also to admit that where this description clashed with something that could be demonstrated through “sense or reason,” an alternative to the literal, everyday, meaning of the Scripture passage should be sought. This latter proviso would imply that even in this, the most conservative, approach, theology is not being given absolute priority over natural philosophy. (shrink)
The empirical content of the modern definition of relativity given in the Andersonian approach to spacetime theory has been overestimated. It does not imply the empirical relativity Galileo illustrated in his famous ship thought experiment. I offer a number of arguments—some of which are in essential agreement with a recent analysis of Brown and Sypel [1995]—which make this plausible. Then I go on to present example spacetime theories which are modern relativistic but violate Galileo's relativity. I end by (...) briefly discussing the prospects for improving on modern relativity. (shrink)
This paper introduces a little-known episode in the history of physics, in which a mathematical proof by Pierre Fermat vindicated Galileo’s characterization of freefall. The first part of the paper reviews the historical context leading up to Fermat’s proof. The second part illustrates how a physical and a mathematical insight enabled Fermat’s result, and that a simple modification would satisfy any of Fermat’s critics. The result is an illustration of how a purely theoretical argument can settle an apparently empirical (...) debate. (shrink)
_ Source: _Volume 29, Issue 1, pp 9 - 38 Hobbes tried to develop a strict version of the mechanical philosophy, in which all physical phenomena were explained only in terms of bodies in motion, and the only forces allowed were forces of collision or impact. This ambition puts Hobbes into a select group of original thinkers, alongside Galileo, Isaac Beeckman, and Descartes. No other early modern thinkers developed a strict version of the mechanical philosophy. Natural philosophies relying solely (...) on bodies in motion require a concept of inertial motion. Beeckman and Descartes assumed rectilinear motions were rectilinear, but Galileo adopted a theory which has been referred to as circular inertia. Hobbes’s natural philosophy depended to a large extent on what he called “simple circular motions.” In this paper, I argue that Hobbes’s simple circular motions derived from Galileo’s belief in circular inertia. The paper opens with a section outlining Galileo’s concept, the following section shows how Hobbes’s physics depended upon circular motions, which are held to continue indefinitely. A third section shows the difficulty Hobbes had in maintaining a strictly mechanistic philosophy, and the conclusion offers some speculations as to why Galileo’s circular inertia was never entertained as a serious rival to rectilinear inertia, except by Hobbes. (shrink)
: Although Galileo's struggle to mathematize the study of nature is well known and oft discussed, less discussed is the form this struggle takes in relation to Galileo's first new science, the science of the second day of the Discorsi. This essay argues that Galileo's first science ought to be understood as the science of matter—not, as it is usually understood, the science of the strength of materials. This understanding sheds light on the convoluted structure of the (...) Discorsi's first day. It suggests that the day's meandering discussions of the continuum, infinity, the vacuum, and condensation and rarefaction establish that a formal treatment of the "eternal and necessary" properties of matter is possible; i.e., that matter as such can be considered mathematically. This would have been a necessary, and indeed revolutionary, preliminary to the mathematical science of the second day because matter itself was thought in the Aristotelian tradition to be responsible for the departure of natural bodies from the unchanging and thus mathematizable character of abstract objects. In addition, the first day establishes that when considered physically, these properties account for matter's force of cohesion and resistance to fracture. This essay closes by showing that this dual style of reasoning accords with the conceptual structure of mixed mathematics. (shrink)
During his stay in Padua ca. 1592–1610, Galileo Galilei (1564–1642) was a lecturer of mathematics at the University of Padua and a tutor to private students of military architecture and fortifications. He carried out these activities at the Academia degli Artisti. At the same time, and in relation to his teaching activities, he began to study the equilibrium of bodies and strength of materials, later better structured and completed in his Dialogues Concerning Two New Sciences of 1638. This paper (...) examines important details of four works dating to the Paduan period: Breve instruzione dell’architettura militare; Trattato di Fortificazione; Le Mecaniche; Le operazioni del compasso geometrico et militare. The two works on military architecture and fortifications were compiled from notes taken by students, and are not by Galileo’s hand, but are still illustrative of his work and thinking at the time. (shrink)
Galileo's refutation of the speed-distance law of fall in his Two New Sciences is routinely dismissed as a moment of confused argumentation. We urge that Galileo's argument correctly identified why the speed-distance law is untenable, failing only in its very last step. Using an ingenious combination of scaling and self-similarity arguments, Galileo found correctly that bodies, falling from rest according to this law, fall all distances in equal times. What he failed to recognize in the last step (...) is that this time is infinite, the result of an exponential dependence of distance on time. Instead, Galileo conflated it with the other motion that satisfies this ‘equal time’ property, instantaneous motion. (shrink)
The first attempted derivation by Galileo of the law relating space and time in free fall that has survived is preserved on an otherwise unidentified sheet bound among his manuscripts preserved at Florence. It is undoubtedly closely associated with a letter from Galileo to Paolo Sarpi, dated 16 October 1604, which somehow found its way into the Seminary of Pisa, where it is still preserved. Those two documents, together with the letter from Sarpi to Galileo which seems (...) to have inspired them, are translated in full below. Sarpi's letter, dated 9 October 1604, suggests that recent oral discussions of problems of motion had recently taken place between the two men. It reads as follows:“In sending you the enclosure, it occurs to me to propose to you a problem to resolve, and another that seems to me paradoxical. (shrink)
Thomas Holden presents a fascinating study of theories of matter in the seventeenth and eighteenth centuries. These theories were plagued by a complex of interrelated problems concerning matter's divisibility, composition, and internal architecture. Is any material body infinitely divisible? Must we posit atoms or elemental minima from which bodies are ultimately composed? Are the parts of material bodies themselves material concreta? Or are they merely potentialities or possible existents? Questions such as these -- and the press of subtler questions hidden (...) in their amibiguities -- deeply unsettled philosophers of the early modern period. They seemed to expose serious paradoxes in the new world view pioneered by Galileo, Descartes, and Newton. The new science's account of a fundamentally geometrical Creation, mathematicizable and intelligible to the human inquirer, seemed to be under threat. This was a great scandal, and the philosophers of the period accordingly made various attempts to disarm the paradoxes. All the great figures address the issue: most famously Leibniz and Kant, but also Galileo, Hobbes, Newton, Hume, and Reid, in addition to a crowd of lesser figures. Thomas Holden offers a brilliant synthesis of these discussions and presents his own overarching interpretation of the controversy, locating the underlying problem in the tension between the early moderns' account of material parts on the one hand and the program of the geometrization of nature on the other. (shrink)
The aim of this paper is to take Galileo's mathematization of nature as a springboard for contrasting the time-honoured empiricist conception of phenomena, exemplified by Pierre Duhem's analysis in To Save the Phenomena , with Immanuel Kant's. Hence the purpose of this paper is twofold. I) On the philosophical side, I want to draw attention to Kant's more robust conception of phenomena compared to the one we have inherited from Duhem and contemporary empiricism. II) On the historical side, I (...) want to show what particular aspects of Galileo's mathematization of nature find a counterpart in Kant's conception of phenomena.------------------------------------------------------------------------------------------ ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- --------------------------------------------------. (shrink)
Don Ihde has recently launched a sweeping attack against Husserl’s late philosophy of science. Ihde takes particular exception to Husserl’s portrayal of Galileo and to the results Husserl draws from his understanding of Galilean science. Ihde’s main point is that Husserl paints an overly intellectualistic picture of the “father of modern science”, neglecting Galileo’s engagement with scientific instruments such as, most notably, the telescope. According to Ihde, this omission is not merely a historiographical shortcoming. On Ihde’s view, it (...) is only on the basis of a distorted picture of Galileo that Husserl can “create“ the division between Lifeworld and the “world of science“, a division that is indeed fundamental for Husserl’s overall position. Hence, if successful, Ihde’s argument effectively undermines Husserl’s late philosophy of science. The aim of this paper is to show that Ihde’s criticism does not stand up to closer historical or philosophical scrutiny. (shrink)
Recent study of Galileo's surviving manuscript notes on motion has revealed that by 1609 he had developed the major part of his theory of projectile motion. During the period of these theoretical advances Galileo was engaged in important related experimental investigations; this has become clear from the study of folios 114r and 116v of the manuscript on motion. This paper provides an interpretation of a manuscript not previously discussed—folio 81r. The analysis provided indicates that it is evidence of (...) an important early experiment of the series in which Galileo studied the projectile trajectory. The reconstruction of the experiment concerned reveals relationships with the enquiries suggested by folio 114r and 116v and indicates that Galileo examined the form of projectile trajectories with some care. (shrink)
This essay is concerned with the processes of idealization as described by Husserl in his last work, "The Crisis of European Sciences and Transcendental Phenomenology". Central as the processes of idealization are to Husserl's reflections on the origin of natural scientific knowledge and his attempt to reground that knowledge in the "forgotten meaning-fundament of natural science," they have not always been well understood. One reason for this is the lack of concrete historical examples. The main purpose of this paper is (...) to correct this deficit. The paper is comprised of four sections. The first distinguishes two separate processes of idealization, one ascending from the life-world and the other descending and applying to it. The interaction of the two is then considered. The second section takes up Husserl's own discussion of Galileo's employment of idealization in his original mathematization of nature. The third section examines Galileo's analysis of freefall as a historical example of the processes of idealization. Here it is seen that the evidence clearly justifies Husserl's claims regarding the role of idealization in the origins of modern natural science. The conclusion employs the insights gained in the previous sections to exhibit the importance of understanding the processes of idealization as propaedeutic to the appreciation of the role and importance of the phenomenological methods of epoché and reduction to restoring lost layers of meaning by nullifying the idealizations which cover the life world. (shrink)