The article focuses on Galileo's Letter to Castelli, 21 December 1613. The author analyzes Galileo's hermeneutical principles established in the first part of the letter and his literal interpretation of the passage from the Book of Joshua 10, 12-13, in Copernican terms, in the second part of the letter. Galileo appears to use the Bible as a scientific authority, supporting his Copernican views, and thus he seems to contradict his own hermeneutical principles. The author argues that Galileo's (...) position is consistent, especially if one takes into account the historical context of its genesis, that is, in the context of the constant, theologically-inspired attacks on Copernicus and Galileo and his commitment to the heliocentric world system and in the context of his newly-made telescopic observations and discoveries. (shrink)

Galileo’s telescopic lunar observations, announced in Siderius Nuncius (1610), were a triumph of observational skill and ingenuity. Yet, unlike the Medicean stars, Galileo’s lunar “discoveries” were not especially novel. Indeed, Plutarch had noted the moon’s uneven surface in classical times, and many other renaissance observers had also turned their gaze moonward, even (in Harriot’s case) aided by telescopes of their own. Moreover, what Galileo and his contemporaries saw was colored by the assumptions they already had. Copernicans assumed the moon was (...) a terrestrial satellite, thus Galileo saw its mountains and Kepler “saw” the dwellings of its inhabitants. Aristotelians assumed the moon was a perfect sphere, so they saw differences in density and rarity in the lunar body. Theory corrected the results of observation, so Galileo’s lunar observations, like those that had come before, proved nothing. Yet this failure contained the germ of Galileo’s success, since the Siderius Nuncius gave observation a rhetorical force it did not have before. Observers on all sides set out to see for themselves what Galileo reported. Hence, all parties now had to answer to what they saw, whatever they believed. Thus, the Siderius Nuncius ultimately changed the grounds upon which natural philosophical argument and debate was carried out. In this new empirical arena, the Galilean science would eventually prevail. (shrink)

This chapter contains section titled: Kepler's New Astronomy Kepler's New Science of Vision Galileo and the Telescope Galileo and the Creation of Mathematical Physics Mersenne and the New Science.

The claim that Galileo Galilei transformed the spyglass into an astronomical instrument has never been disputed and is considered a historical fact. However, the question what was the procedure which Galileo followed is moot, for he did not disclose his research method. On the traditional view, Galileo was guided by experience, more precisely, systematized experience, which was current among northern Italian artisans and men of science. In other words, it was a trial-and-error procedure—no theory was involved. A scientific analysis of (...) the optical properties of Galileo’s first improved spyglass shows that his procedure could not have been an informed extension of the traditional optics of spectacles. We argue that most likely Galileo realized that the objective and the eyepiece form a system and proceeded accordingly. (shrink)

The year 2009 has been a year of numerous commemorations of both scientific and non-scientific achievements that contributed to the advancement of human kind. Protestants celebrated the 500th anniversary of the birth of Calvin; literary critics celebrated the 200th anniversary of the poet Edgar Allan Poe; and the musical genius Felix Mendelssohn-Bartholdy was also born 200 years ago. 2009 further marked the bicentennial of the birth of Louis Braille, the inventor of Braille; and Abraham Lincoln, the 16th president of the (...) United States, who founded the National Academy of Sciences. Pierre Curie, famous for his work on radioactivity that he conducted together with his wife Marie Curie, was born 150 ago; as was John Dewey, a philosopher and psychologist who is recognized as one of the founding fathers of both pragmatism as well as functional psychology. UNESCO and the International Astronomical Union dubbed 2009 the International Year of Astronomy. By doing so, astronomers celebrated the 400th anniversary of Galileo Galilei’s telescopic observations as well as the publication of Johannes Kepler’s Astronomia nova wherein he formulated the first two laws of planetary motion. 2009 also marked the last of a 3-year-long celebration of Planet Earth, another UNESCO-governed initiative. However, for evolutionary biologists and philosophers of science, 2009 will be largely remembered for its worldwide commemorations of the 200th anniversary of the birth of Charles Darwin, and the 150th anniversary of the publication of his magnum opus On the origin of species by means of natural selection. Footnote1 In order to pay tribute to Darwin’s major contribution to the advancement of evolutionary science, the International Union of Biological Sciences and the International Union of History and Philosophy of Science have called the year 2009 the Darwin Year. Given that so many scientific discoveries were commemorated, COPUS, the Coalition on the Public Understanding on Science, called out 2009 as the Year of Science, in the hope to pay equal tribute to both the field of biology as well as astronomy. 2009 was indeed a year of biology. Somewhat overshadowed by the big Darwin celebrations, smaller-scaled events were held to commemorate the 200th anniversary of the publication of Lamarck’s Philosophie Zoologique; and the 150th anniversary of the death of Alexander von Humboldt, the father of biogeography. In 1910, Constantin Mereschkowsky wrote his article on symbiogenesis entitled ‘The Theory of Two Plasmas as the Basis of Symbiogenesis, a New Study for the Origins of Organisms’. The article was published in the German Biologisches Zentralblatt, the journal that would later evolve into the current Theory in Biosciences. Somewhat forgotten, but equally important for the field of symbiogenesis, was the 200th anniversary of the birth of Pierre-Joseph Van Beneden, a Belgian paleontologist and zoologist famous for distinguishing parasitism from commensalism. Finally, Henry Bergson, known for inventing the currently rejected notion of élan vital, was born 150 years ago. In order to memorialize the important role these biologists played in the advancement of our understanding of the evolutionary process, a 2-day international conference was organized entitled: Evolution today and tomorrow, Darwin evaluated by contemporary evolutionary and philosophical theories. The conference was organized by The Centre for Philosophy of Science of the University of Lisbon (Portugal), in collaboration with the Centre for Environmental Biology of the same university, and the Lisbon Centre for Applied Psychology. The articles presented here are a spin-off of this conference. The current volumes contain the peer-reviewed articles of a selection of the plenary and invited speakers, as well as those of scholars who were additionally invited to contribute to the volumes. (shrink)

This paper proposes a reading of Galileo’s Letter to the Grand Duchess Christina as analogous to a legal brief submitted to a court en banc. The Letter develops a theory of the general issues underlying the case at hand, but it is organized around advocacy for a particular judgment. I have drawn two architectonic implications from this framework, each of which helps to resolve an issue still standing in the literature. First, the Letter anticipates varying degrees of acquiescence to its (...) general account, and provides ‘hooks’ for different readers to interpret variously while still converging on the particular judgment. This reading allows for a coherent Galilean interpretation of passages that notoriously concede priority to Scripture, while also explaining their dialectical function. Galileo is neither self-contradictory nor dissimulating here, but strategically leaves the specification of key distinctions for the reader. Second, the Letter, and particularly its apparent shifting of the burden of proof, must be understood in light of the tripartite ‘adversarial-judicial’ framework that Galileo sets up. The burden of proof is shifted to anti-Copernicans within the Church, not as a rhetorical trick, but because of the benefits of adversarial procedure that will accrue to the Church as the responsible judge. (shrink)

This bookreview discusses Piccolino and Wades' book on Galileo's impact on contemporary perception science.

Far from egalitarian, Galileo’s epistemology asserts an uncompromising hierarchy between science and Scripture — an idea he suggests originates with early Christian author Tertullian of Carthage. For Galileo, when the scientific data causes us to disagree with the apparent meaning of scripture, it is not the data that we discard nor is it the scientist whose word is subject to doubt. Rather, whenever a disagreement arises, we always reinterpret the Bible and Holy Fathers such that we can make them agree (...) with what the scientist observes. Galileo states, “[H]aving arrived at any certainties in physics, we ought to utilize these as the most appropriate aids in the true exposition of the Bible […], for these must be concordant with demonstrated truths” (183). In other words, we establish matters of fact first , and then decide what interpretations of scripture will maintain the truth of those facts, second. Given that Galileo’s method stands in radical opposition to the methods of the Church as carried out in the Inquisition following the Council of Trent (1563), it is not hard to understand why the Church felt threatened by him and thereby sought to repress his views. (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.

The clash between Galileo and the Catholic Inquisition has been discussed, studied, and written about for many decades. The scientific, theological, political, and social implications have all been carefully analysed and appreciated in all their interpretative fruitfulness. The relatively recent trend in this kind of scholarship however seems to have underestimated the fact that Galileo in this debate, as in his earlier debates, showed a particular style marked by overconfidence. If we keep in mind the Lakatosian account of scientific development, (...) it is of course perfectly understandable that scientists at times stick to their convictions by producing auxiliary hypotheses as buffers against contrary evidence. And elements of this are detectable in the arguments of both Galileo and his opponents. But one still needs to ask: To what extent did Galileo depend on auxiliary hypotheses? How insecure did they render his position? And how ad hoc were they? These are important questions because Galileo’s particular way of dealing with auxiliary hypotheses can throw light on the broader question of when and how auxiliary hypotheses are needed within scientific practice in general. It can even indicate some way of conceiving degrees of ad hocness. In this paper, I explore this issue by comparing two important debates in which Galileo was involved: one about the nature of water and buoyancy, the other about cosmology. I revisit not only the scientific content of these debates but also the cultural context in which they took place, especially their dependence on patronage and their theological repercussions. The results indicate that scholarship on Galileo can still be useful in clarifying currently relevant aspects of scientific practice, and is thus still far from its expiry date. (shrink)

Brecht’s Life of Galileo provides elements for elaborating what I call “a theory of the encounter of practices”. The concept of the encounter pushes back against teleological theories that predestine modern science to operate as an instrument of domination. I argue that Life of Galileo stages the missed encounters in modernity between science, politics, and art at the same time as it foregrounds the emancipatory power of science. I trace the encounter of practices from the play’s opening scenes – highlighting (...) what I call Galileo’s “double life”. Then, I turn to the most important scene of the play, Scene 10, in which political and artistic practices repurpose Galileo’s novel inventions for their emancipatory desires. In the virtual potentialities of this encounter, that is, despite the missed encounter between Galileo and “the people”, Brecht’s Life of Galileo continues to be fruitful for theorizing the emancipatory power of science. (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 Galileo's Error, Philip Goff sets out a manifesto for a post-Galilean science of consciousness. Article four of the manifesto reads: 'Anti-Dualism: Consciousness is not separate from the physical world; rather consciousness is located in the intrinsic nature of the physical world.' I argue that there is an important sense of ‘dualism’ in which Goff’s arguments are not only compatible with but entail dualism, and not only dualism but substance dualism. Substance dualism, in the sense I have in mind, (...) is the view that (i) there are two sides to reality, a fundamentally mental side and a fundamentally nonmental side; and (ii) the fundamentally mental side consists of mental substances resembling Cartesian souls. I do not suggest that this is bad news for post-Galilean science of consciousness. My aim is rather to push for a certain view about what a theory of consciousness motivated by Goff’s arguments must look like. (shrink)

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)

I confront Feyerabend's position and critical rationalism in order to have a foundation or starting point for my (historical) investigation. The main difference of his position towards falsificationism is the belief that different theories cannot be discussed rationally. Feyerabend is convinced that Galilei's observations with the telescope in the historical context of the Copernican revolution supports his criticism. In particular, he argues that the Copernican theory was supported by deficient hypotheses, and falsifications were disposed by ad hoc hypotheses and (...) propaganda. Furthermore, he claims that his philosophy of science reconstructs Galilei's defence of the Copernican theory. He introduces a central principle of his position (the principle of tenacity) in order to justify a research strategy of not eliminating falsified theories. He tries to show that the tenacious defence of a theory corresponds to Galilei's defence of the Copernican theory. Remarkably, Feyerabend's approach to explain the development of science earns an important support from his interpretation of Galilei's observations. On this basis I give a falsificationist interpretation of Galilei's observations with the telescope, and oppose this interpretation to Feyerabend's. From a falsificationist perspective, auxiliary hypotheses compete during the Copernican revolution which can (with some effort) be critically discussed. Then I analyse the historical case in order to test Feyerabend's interpretation of the Copernican revolution. Inter alias I investigate thoroughly whether Galilei, as Feyerabend claims, immunised falsifications of the Copernican theory by the introduction of ad hoc hypotheses. The investigation considers Galilei's explanation of Venus' phases, his establishment of the irradiation hypothesis, the explanation of the telescope's functionality, and the role of the reproducibility of the observations with the telescope. Finally I provide a rational reconstruction of Galilei's falsification of the Ptolemaic theory. The formalisation shows that Galilei was not a cautious critical rationalist, but a very confident scientist using the method of falsification. (shrink)

Was Galileo’s clash with the Church about science or about legal procedures that he had apparently neglected? Was he ultimately condemned for heresy or for violating a legal precept by publishing the "Dialogue on the Two Chief World Systems"?

This paper sets mathematics among the sciences, despite not being empirical, because it studies relations of various sorts, like the sciences. Each empirical science studies the relations among objects, which relations determining which science. The mathematical science studies relations as such, regardless of what those relations may be or be among, how relations themselves are related. This places it at the extreme among the sciences with no objects of its own (A Subject with no Object, by J.P. Burgess and G. (...) Rosen). Examples are discussed. The historical development of written mathematics from algorithms on clay tablets to theorems with proofs is said to show that application of algorithms to specific problems and theorems to scientific objects is like allegorical interpretation. Mathematics fits into the modern scientific context because the sciences, beginning with Galileo, have been constructed in imitation of mathematics. Viewing mathematics this way does not solve any ontological problems, but it does show how mathematics avoids them. Epistemological problems, insuperable for object realism, are simplified. For example, we have access to relations among any objects that we can consider objectively, first physical objects and then mathematical objects of greater and greater abstraction. (shrink)

In his 1615 letter to the Grand Duchess Christina of Lorraine, Galileo argues for a “principle of limitation”: the authority of Scripture should not be invoked in scientific matters. In doing so, he claims to be following the example of St Augustine. But Augustine’s position would be better described as a “principle of differing purpose”: although the Scriptures were not written in order to reveal scientific truths, such matters may still be covered by biblical authority. The Roman Catholic Church has (...) rejected Galileo’s principle, opting rather for Augustine’s, leaving open the possibility of future conflicts between scientists and Church authority. (shrink)

ABSTRACT. In his Letters on the motion impressed by a moving mover, Gassendi offers a theory of the motion of composite bodies that closely follows Galileo’s. Elsewhere, he describes the motion of individual atoms in very different terms: individual atoms are always in motion, even when the body that contains them is at rest; atomic motion is discontinuous although the motion of composite bodies is at least apparently continuous; and atomic motion is grounded in an intrinsic vis motrix, motive power, (...) while composite bodies simply persist in their state of motion or rest in the absence of outside intereference. Gassendi does not make much effort to explain how his accounts of atomic and composite motion fit together, and it’s difficult to see how they could possible be integrated. My goal is to explain, given this difficulty, why he accepted both the Galilean theory of the motion of composite bodies and the Epicurean theory of atomic motion. (shrink)

The article summarizes the software tool on astrophysical analysis with multi-wavelength space telescope data. It recaps the evidence analysis conducted on the Kerr-Newman black hole (KNBH). It was written prior to the article Research on the Kerr-Newman Black Hole in M82 Confirms Black Hole and White Hole Juxtapose not soon after the experiment. The conducted analysis suggested Hawking radiation is caused by the movement of ergosurfaces of the BH and serves as the primal evidence for black hole and white (...) hole juxtapose. A later data exploration was conducted with the radiation trails in the multi-wavelength data. The evidences produced corroborates with Yale professor Priyamvada Natarajan's black hole seeds theory. It implies that the electromagnetic dynamic of fusion and fission temperature determines the pressure of surface tension on the macro particles, and the mass density of the BH is determined by the electromagnetic tension between the outer ergosurface and inner ergosurface. The ring singularity of the BH and the Penrose-Hawking singularity of the BH determine the spin and gravitational singularity of the BH. Inside the ergosurfaces, the BH singularities' backward inflow causes the vicinity's rate on feeding the BH. It makes the active galactic nuclei (AGN) a semi-closed system. The density pressure is released on threshold. During the mass exchange observed by energy momentum upon the AGN's open, the macroparticle composition of the BH changes with the galactic event. This causes the expansion rate of the galaxy and contraction rate of the BH. AGN types and their relative motions determine the expansion rate of the cosmic universe in a generalized quantitative thinking. The article concludes that BH spin is caused by the asymmetric motions of AGN in the BH system. A set of the nuclear resonance caused by BH and white hole (WH) oscillation is processed with the same set of data. (shrink)

Based on Galileo's experiments, Newton develops the theory of gravity in his first book Philosophiæ Naturalis Principia Mathematica ("Principia") of 1686. Immediately after, Robert Hooke accused Newton of plagiarism, claiming that he unduly assumed his "notion" of "the rule of the decrease of Gravity, being reciprocally as the squares of the distances from the Center". But, according to Edmond Halley, Hooke agreed that "the demonstration of the curves generated by it" belongs entirely to Newton.

Torricelli elaborated the theory of ballistics as part of Galileo's theory of motion. In 1647 he had an interesting exchange of letters with G. B. Renieri, from Genoa, who complained that some experiments he had made with guns contradicted Galileo's theory. The correspondence discloses some fundamental issues of the Seventeenth century Scientific Revolution, the main one being to what extent mathematics can be applied to physics. Torricelli's view on this issue is ambivalent. He defends Galileo's kinematics as (...) the correct description of reality yet says that mathematics does not describe reality. It is suggested that this ambivalence is an outcome of the climate of uncertainty which followed Galileo's trial. (shrink)

In his book “Galileo’s Error”, Philip Goff lays out what he calls “foundations for a new science of consciousness”, which are decidedly anti-physicalist (panpsychist), motivated by a critique of Galileo’s distinction into knowable objective and unknowable subjective properties and Arthur Eddington’s argument for the limitation of purely structural (physical) knowledge. Here we outline an alternative theory, premised on the Interface Theory of Perception, that too subscribes to a “post-Galilean” research programme. However, interface theorists disagree along several lines. 1. They note (...) that Galileo’s distinction should be replaced by a truly non-dual account, referring to a difference of degree only. 2. They highly appreciate the role of mathematics, in particular when it comes to actually engage scientifically with consciousness. Some notable features of the interface theory are its skepticism towards our epistemic capacities and its rejection of the existence of a public, mind-independent reality. In addition, some interface theorists further employ a thin concept of “conscious agency” to ground their theory. The interface theory leaves open many of the problems of consciousness science (e.g. what is a “self”?) as questions for further (scientific, mathematical) research. (shrink)

The seventeenth century was an important period in the conceptual development of the notion of the infinite. In 1643, Evangelista Torricelli (1608-1647)—Galileo’s successor in the chair of mathematics in Florence—communicated his proof of a solid of infinite length but finite volume. Many of the leading metaphysicians of the time, notably Spinoza and Leibniz, came out in defense of actual infinity, rejecting the Aristotelian ban on it, which had been almost universally accepted for two millennia. Though it would be another two (...) centuries before the notion of the actually infinite was rehabilitated in mathematics by Dedekind and Cantor (Cauchy and Weierstrass still considered it mere paradox), their impenitent advocacy of the concept had significant reverberations in both philosophy and mathematics. In this essay, I will attempt to clarify one thread in the development of the notion of the infinite. In the first part, I study Spinoza’s discussion and endorsement, in the Letter on the Infinite (Ep. 12), of Hasdai Crescas’ (c. 1340-1410/11) crucial amendment to a traditional proof of the existence of God (“the cosmological proof” ), in which he insightfully points out that the proof does not require the Aristotelian ban on actual infinity. In the second and last part, I examine the claim, advanced by Crescas and Spinoza, that God has infinitely many attributes, and explore the reasoning that motivated both philosophers to make such a claim. Similarities between Spinoza and Crescas, which suggest the latter’s influence on the former, can be discerned in several other important issues, such as necessitarianism, the view that we are compelled to assert or reject a belief by its representational content, the enigmatic notion of amor Dei intellectualis, and the view of punishment as a natural consequent of sin. Here, I will restrict myself to the issue of the infinite, clearly a substantial topic in itself. (shrink)

The fracture in the emerging discipline of biosemiotics when the code biologist Marcello Barbieri claimed that Peircian biosemiotics is not genuine science raises anew the question: What is science? When it comes to radically new approaches in science, there is no simple answer to this question, because if successful, these new approaches change what is understood to be science. This is what Galileo, Darwin and Einstein did to science, and with quantum theory, opposing interpretations are not merely about what theory (...) is right, but what is real science. Peirce's work, as he acknowledged, is really a continuation of efforts of Schelling to challenge the heritage of Newtonian science for the very good reason that the deep assumptions of Newtonian science had made sentient life, human consciousness and free will unintelligible, the condition for there being science. Pointing out the need for such a revolution in science has not succeeded as a defence of Peircian biosemiotics, however. In this paper, I will defend the scientific credentials of Peircian biosemiotics by relating it to the theoretical biology of the bio-mathematician, Robert Rosen. Rosen's relational biology, focusing on anticipatory systems and giving a place to final causes, should also be seen as a rigorous development of the Schellingian project to conceive nature in such a way that the emergence of sentient life, mind and science are intelligible. Rosen has made a very strong case for the characterization of his ideas as a real advance not only in science, but in how science should be understood, and I will argue that it is possible to provide a strong defence of Peircian biosemiotics as science through Rosen's defence of relational biology. In the process, I will show how biosemiotics can and should become a crucial component of anticipatory systems theory. (shrink)

Galileo’s Error is a superlative work of public philosophy, particularly as a way of introducing modern academic panpsychism to a broader audience. In this commentary, I reflect on an issue that is prominent, though often with different background concerns, in both academic and popular discourse: what it means to be ‘scientific’ or ‘unscientific’. Panpsychism is not itself a scientific hypothesis, but neither is it (as critics sometimes claim) in conflict with science. Indeed, Goff argues, and I agree, that panpsychism is (...) an eminently scientific worldview, in the sense of a way of viewing reality that accords with and embraces what science reveals. But what exactly it means to ‘accord with and embrace’ science is disputed; this paper tries to untangle some of the threads. (shrink)

After the Event Horizon Telescope Collaboration released in April 2019 the first empirical images of a black hole, an astrophysical object previously thought “unseeable,” much of the public discourse has approached these images as straightforward visual depictions of a black hole. This article challenges this view by showing that the first images of a black hole went beyond merely making an invisible cosmic object visible and that the images published in April 2019 were just the first in a series (...) of black hole images the researchers continue producing. Drawing primarily on Sybille Krämer’s concept of the cartographic impulse, the article demonstrates that the Event Horizon Telescope images are, first and foremost, epistemic tools. These epistemic tools enable researchers to actively explore various physical aspects and dynamic properties of a black hole’s immediate environment and test theoretical predictions about it, thus making this elusive environment empirically knowable. To demonstrate this, the article analyses the mapping operations that combined automated algorithmic procedures with expert human judgment and through which these images were produced, read, and interpreted. It also examines how the different Event Horizon Telescope images relate to one another, which particular epistemic functions they fulfil in the research context, under which conditions, and with which limitations, thus tracing how these images facilitate the production of new scientific knowledge about black holes. (shrink)

Starting with Aristotle and moving on to Darwin, Marco Solinas outlines the basic steps from the birth, establishment and later rebirth of the traditional view of living beings, and its overturning by evolutionary revolution. The classic framework devised by Aristotle was still dominant in the 17th Century world of Galileo, Harvey and Ray, and remained hegemonic until the time of Lamarck and Cuvier in the 19th Century. Darwin's breakthrough thus takes on the dimensions of an abandonment of the traditional finalistic (...) theory. It was a transition exemplified in the morphological analysis of useless parts, such as the sightless eyes of moles, already discussed by Aristotle, which Darwin used as a crowbar to unhinge the systematic recourse to final causes. With many excerpts, a chronological sequence and an analytical approach, this book follows the course of the two conceptions that have shaped the destiny of life sciences in western culture. (shrink)

Galileo’s dictum that the book of nature “is written in the language of mathematics” is emblematic of the accepted view that the scientific revolution hinged on the conceptual and methodological integration of mathematics and natural philosophy. Although the mathematization of nature is a distinctive and crucial feature of the emergence of modern science in the seventeenth century, this volume shows that it was a far more complex, contested, and context-dependent phenomenon than the received historiography has indicated, and that philosophical controversies (...) about the implications of mathematization cannot be understood in isolation from broader social developments related to the status and practice of mathematics in various commercial, political, and academic institutions. (shrink)

The aim of this paper is to examine how much Hume knew about astronomy, in order to understand the reasons for his acceptance of Copernicanism. My contention is that Hume’s positive reception of the Copernican system arises at least from the importance that he gives to three features that he attributes to the Copernican system: beauty, simplicity and uniformity. I also give some evidence that Hume had first-hand knowledge of some sections of Galileo’s Dialogo sopra i due massimi sistemi del (...) mondo tolemaico e copernicano (1632), where the “sole proofs” of the Copernican system are said to be found. (shrink)

The Fifth Element (1997) is a French science-fiction film in English, directed and co-written by Luc Besson. The title and the plot of the film refer to a central notion of Greek philosophy, that is, pemptousia, or quintessence. Pre-Socratic philosophers such as Thales, Anaxagoras, Anaximenes and others, were convinced that all natural beings – in fact, nature itself – consist in four primary imperishable elements or essences (ousiai), i.e., fire, earth, water, and air. To these four, Aristotle added aether, a (...) fifth essence (pemptousia). The introduction of aether gave birth to a great tradition in late Antique and Medieval philosophy, and eventually it came to signify not an additional primary element, but the core-essence of all beings, their fundamental ontological structure. Besson’s film draws its inspiration on this philosophical tradition but its cinematographic rendering of the concept of Quintessence is typical of the contemporaneous views on the core characteristics of matters. The modernity that stimulates the film is equally anti-transcendentalist and anti-essentialist. Thus, the fifth element of the film is existentially personified and genderized making the traditional philosophical significance of the term to be adjusted by modernity in an immanent and temporal context where in addition aesthetics plays a crucial role. (shrink)

The author examines an essay by Maurizio Torrini on the scientific revolution and libertinism. Studying the reception of Galileo’s discoveries in European philosophical culture, Torrini highlights the misunderstandings and instrumental uses that libertines made of Galilean astronomy. The scientific revolution and libertinism had independent paths and even when their paths crossed, no fusion emerged between the two components. Only at the end of the seventeenth century did apologetics unify libertinism and Galilean science into one doctrine to facilitate their condemnation. The (...) essay shows the consequences that this interpretation produces on the historiographic categories with which modern philosophy is interpreted. (shrink)

"Galileo on the Distinction between Primary and Secondary Qualities (II). The Problem of the Ontological Status of Sensations" The article is a continuation of the paper in which a theoretical analysis of Galileo’s principal argument for the distinction between primary and secondary qualities was provided. It focuses on the problem of the ontological status of secondary qualities/sensations. I discuss three main interpretative approaches to the issue, considered in light of the findings obtained in the first paper. In the first part (...) of the article, I address the mentalist interpretation of Galileo’s secondary qualities. Additionally, I explore the mechanistic rationale behind his account, in virtue of which it may be called ‘the dustbin theory of the sensorium’. In the second part, I examine the arguments for the materialist reading of the secondary qualities and, by contrasting it with the results obtained in the first article, the theoretical problems inherent in it. In the third part of the paper, I discuss the hermeneutical advantages and theoretical disadvantages of interpreting Galileo’s secondary qualities in Aristotelian terms. I conclude the study by indicating the textual basis and historical significance of the interpretative difficulties discussed. (shrink)

Natural philosophers make mistakes. Descartes got the laws of inertia wrong, Kant misunderstood the primacy of Euclidian geometry, and almost everyone (except perhaps Aristarchus of Samos) prior to the discovery of the telescope mistakenly thought that the solar system was geocentric. That we find Aristotle mistaken on questions in the life sciences — questions which required advances such as the microscope to even articulate — should come as little surprise. There seems nothing remarkable in the fact that Aristotle mistakenly (...) thought that the constitutive elements of the world were four (earth, wind, air, fire) or that the “organ” of thought was not the brain, but the heart. But the matter is otherwise when scholars examine Aristotle’s remarks about the female in his biological writings. When Aristotle claims that the leader of a hive is the king bee (HA 8 [9].40.623b9-10), that woman have smaller brains than men (PA 2.7.653a28-9), and that the female of the species have fewer teeth than the male (HA 2.3.501b19-21), Aristotle’s critics have suspected something more nefarious than simply poor observation at work. When Aristotle goes on to claim that “the female is, as it were, a mutilated male” (GA 2.3.737a27-8) or that “the female is more dispirited and more despondent than the male, more shameless and more lying, readier to deceive and possessing a better memory for grudges” (HA 8 [9].1.608b10-12), critics have accused Aristotle of trying to pass off misogyny as science. (shrink)

In this paper I shall argue in Section II that two of the standard arguments that have been put forth in support of Einstein’s Special Theory of Relativity do not support that theory and are quite compatible with what might be called an updated and perhaps even an enlightened Newtonian view of the Universe. This view will be presented in Section I. I shall call it the neo-Newtonian Theory, though I hasten to add there are a number of things in (...) it that Newton would not accept, though perhaps Galileo might have. Now there may be other arguments and/or pieces of empirical evidence which support the Special Theory of Relativity and cast doubt upon the neo-Newtonian view. Nevertheless, the two that I am going to examine are usually considered important. It might also be claimed that the two arguments that I am going to examine have only heuristic value. Perhaps this is so but they are usually put forward as supporting the Special Theory and refuting the neo-Newtonian Theory. Again I must stress that it is not my aim to cast any doubt on the Special Theory of Relativity nor on Einstein. His Special Theory and his General Theory stand at the zenith of human achievement. My only aim is to cast doubt on the assumption that the two arguments I examine support the Special Theory. (shrink)

The year 2023 celebrates the 125th anniversary of the birth of Mark Yakovlevich Vygodsky, a famous Soviet mathematician and pedagogue, one of the founders of the Soviet school of the history of mathematics. Not only the scientist's scientific achievements, but also his significant contribution to pedagogical theory and practice, allow us to describe him as a significant scientific figure of the twentieth century. His mathematics textbooks and reference books are reprinted almost annually, so that his ideas continue to influence educational (...) and scientific practice to this day. This article is the second in a series of publications prepared by the author, who is the great-grandson of M.Y. Vygodsky. This research presents previously unpublished scientific results and discoveries concerning the life and work of the scholar. Firstly, based on archival data and family memories, detailed facts about his origins, young years and his development as a scientist are presented. At the same time, a rather complete chronology of M.Y. Vygodsky's scientific activity and personal life is compiled. Secondly, for the first time, a complete list of his main scientific contributions has been prepared, which makes it possible to assess the talent and the scale of his academic achievements. The presented results may be useful for prospective scientific and historical studies. In the modern context, it seems valuable to present a picture of M.Y. Vygodsky's life and work, as he was an interdisciplinary researcher and in this he was ahead of his time. In our changing world, contemporary challenges require the same interdisciplinarity to solve complex problems, and a fresh look at the life and work of a scholar like M.J. Vygodsky can stimulate inspiration in the modern researcher, student, and anyone seeking development and awareness. (shrink)

Working from within the Lakatosian framework of scientific change, this paper seeks to gain a deeper understanding of the Jesuits’ role in the scientific revolution during the years of Galileo’s trials and the subsequent century. Their received research program was Aristotelian cosmology. Their efforts to construct protective belts to shield the core principles were fueled not only by the basic instinct to conserve but also by the impact of official prohibitions from the side of Church authorities. The paper illustrates how (...) these Church restrictions were not as paralyzing for Jesuit intellectuals as has often been thought. They left considerable space for maneuvering. The paper shows how, within this space, Jesuits were engaged mainly in the indispensable task of exhausting all the potential of Aristotelian cosmology. They did this primarily by trying to build intellectual bridges to ensure coherence between three realms of the cosmological imagination of the time: the received Aristotelian view, the new empirical data, and the realm of everyday experience. (shrink)

Descartes is notorious for holding a strong anti-vacuist position. On his view, according to the standard reading, empty space not only does not exist in nature, but it is logically impossible. The very notion of a void or vacuum is an incoherent one. Recently Eric Palmer has proposed a revisionist reading of Descartes on empty space, arguing that he is more sanguine about its possibility. Palmer makes use of Descartes’ early correspondence with Marin Mersenne, including his commentary on Galileo’s Two (...) New Sciences. I argue that Palmer’s reading is mistaken, and that it relies on an understandable but faulty inference—i.e., that if Descartes considers the implications of an opposing view, he must find it at least coherent. Descartes, as I show from his correspondence and other texts, uses a variety of persuasive strategies, and levels charges of different logical strength, against positions which he takes to be incoherent. Thus we cannot infer from the fact that Descartes argues, e.g., that something is a superfluous theoretical entity, that he admits that entity’s coherence. He often chooses to argue a weaker thesis against an opponent so that he can use an argument to which the opponent is more likely to agree. (shrink)

The paper is a contribution to the debate on the epistemological status of thought experiments. I deal with the epistemological uniqueness of experiments in the sense of their irreducibility to other sources of justification. In particular, I criticize an influential argument for the irreducibility of thought experiments to general arguments. First, I introduce the radical empiricist theory of eliminativism, which considers thought experiments to be rhetorically modified arguments, uninteresting from the epistemological point of view. Second, I present objections to the (...) theory, focusing on the critique of eliminativism by Tamar Szabó Gendler based on the reconstruction of famous Galileo's Pisa experiment. I show that her reconstruction is simplistic and that more elaborate reconstruction is needed for an appropriate assessment of the epistemic power of general argument. I propose such a reconstruction and demonstrate that general version of Pisa experiment is epistemically equal to the particular one. Thus, from an epistemological perspective, Galileo's thought experiment is reducible to a straightforward argument without particular premises. (shrink)

This study of the history and contents of a hitherto unedited work on geometry by Vincenzo Viviani seeks to present a picture of the scientific environment in Italy in the second half of the 17th century, with particular emphasis on Tuscany and the impact the condemnation of Galileo had on ongoing scholarship. Information derived from unedited or less well-known material serves to illuminate a range of prominent and marginal figures who adopted different strategies for the dissemination of Galileo’s thought and (...) the application of its principles. A selection of texts, edited here for the first time, is presented in two appendices, while in a third decidedly unusual methods are used to elucidate the mathematical aspects. (shrink)

in this paper we return to Marshall Clagett’s view about the existence of an ancient Greek geometry of motion. It can be read in two ways. As a basic presentation of ancient Greek geometry of motion, followed by some aspects of its further development in landmark works by Galileo and Newton. Conversely, it can be read as a basic presentation of aspects of Galileo’s and Newton’s mathematics that can be considered as developments of a geometry of motion that was first (...) conceived by ancient Greek mathematicians. (shrink)

This paper centers on the implicit metaphysics beyond the Theory of Relativity and the Principle of Indeterminacy – two revolutionary theories that have changed 20th Century Physics – using the perspective of Husserlian Transcedental Phenomenology. Albert Einstein (1879-1955) and Werner Heisenberg (1901-1976) abolished the theoretical framework of Classical (Galilean- Newtonian) physics that has been complemented, strengthened by Cartesian metaphysics. Rene Descartes (1596- 1850) introduced a separation between subject and object (as two different and self- enclosed substances) while Galileo and Newton (...) did the “mathematization” of the world. Newtonian physics, however, had an inexplicable postulate of absolute space and absolute time – a kind of geometrical framework, independent of all matter, for the explication of locality and acceleration. Thus, Cartesian modern metaphysics and Galilean- Newtonian physics go hand in hand, resulting to socio- ethical problems, materialism and environmental destruction. Einstein got rid of the Newtonian absolutes and was able to provide a new foundation for our notions of space and time: the four (4) dimensional space- time; simultaneity and the constancy of velocity of light, and the relativity of all systems of reference. Heisenberg, following the theory of quanta of Max Planck, told us of our inability to know sub- atomic phenomena and thus, blurring the line between the Cartesian separation of object and subject, hence, initiating the crisis of the foundations of Classical Physics. But the real crisis, according to Edmund Husserl (1859-1930) is that Modern (Classical) Science had “idealized” the world, severing nature from what he calls the Lebenswelt (life- world), the world that is simply there even before it has been reduced to mere mathematical- logical equations. Husserl thus, aims to establish a new science that returns to the “pre- scientific” and “non- mathematized” world of rich and complex phenomena: phenomena as they “appear to human consciousness”. To overcome the Cartesian equation of subject vs. object (man versus environment), Husserl brackets the external reality of Newtonian Science (epoché = to put in brackets, to suspend judgment) and emphasizes (1) the meaning of “world” different from the “world” of Classical Physics, (2) the intentionality of consciousness (L. in + tendere = to tend towards, to be essentially related to or connected to) which means that even before any scientific- logical description of the external reality, there is always a relation already between consciousness and an external reality. The world is the equiprimordial existence of consciousness and of external reality. My paper aims to look at this new science of the pre- idealized phenomena started by Husserl (a science of phenomena as they appear to conscious, human, lived experience, hence he calls it phenomenology), centering on the life- world and the intentionality of consciousness, as providing a new way of looking at ourselves and the world, in short, as providing a new metaphysics (as an antidote to Cartesian metaphysics) that grounds the revolutionary findings of Einstein and Heisenberg. The environmental destruction, technocracy, socio- ethical problems in the modern world are all rooted in this Galilean- Newtonian- Cartesian interpretation of the relationship between humans and the world after the crumbling of European Medieval Ages. Friedrich Nietzsche (1844-1900) comments that the modern world is going toward a nihilism (L. nihil = nothingness) at the turn of the century. Now, after two World Wars and the dropping of Atomic bomb, the capitalism and imperialism on the one hand, and on the other hand the poverty, hunger of the non- industrialized countries alongside destruction of nature (i.e., global warming), Nietzsche might be correct: unless humanity changes the way it looks at humanity and the kosmos. The works of Einstein, Heisenberg and Husserl seem to be pointing the way for us humans to escape nihilism by a “great existential transformation.” What these thinkers of post- modernity (after Cartesian/ Newtonian/ Galilean modernity) point to are: a) a new therapeutic way of looking at ourselves and our world (metaphysics) and b) a new and corrective notion of “rationality” (different from the objectivist, mathematico- logical way of thinking). This paper is divided into four parts: 1) A summary of Classical Physics and a short history of Quantum Theory 2) Einstein’s Special and General Relativity and Heisenberg’s Indeterminacy Principle 3) Husserl’s discussion of the Crisis of Europe, the life- world and intentionality of consciousness 4) A Metaphysics of Relativity and Indeterminacy and a Corrective notion of Rationality in Husserl’s Phenomenology . (shrink)

The Council of Trent and the Second Vatican Council are significant both to Lutheranism and Science. The first inaugurated the Counter Reformation and formulated a decree related to biblical hermeneutics later used as a basis for Galileo's condemnation. The second modernized the Roman Catholic Church and formulated the Pastoral Constitution Gaudium et spes used by Pope John Paul II as a basis for the reconsideration of the condemnation. In both cases, however, the Church of Rome may not have followed (...) the spirit of its councils. In the 17th century it condemned Galileo following a radical interpretation of the teaching of Trent, that of Cardinal Robert Bellarmine. Recently it reconsidered the ‚Affair’ unsatisfactorily probably because Gaudium et spes encouragement of science clashes with the possibility that Saint Bellarmine misinterpreted the Trent decree. (shrink)

We have a much better understanding of physics than we do of consciousness. I consider ways in which intrinsically mental aspects of fundamental ontology might induce modifications of the known laws of physics, or whether they could be relevant to accounting for consciousness if no such modifications exist. I suggest that our current knowledge of physics should make us skeptical of hypothetical modifications of the known rules, and that without such modifications it’s hard to imagine how intrinsically mental aspects could (...) play a useful explanatory role. Draft version of a paper submitted to Journal of Consciousness Studies, special issue responding to Philip Goff’s Galileo’s Error: Foundations for a New Science of Consciousness. (shrink)

Ideas for explaining the mechanism of gravity involving the expansion of matter have been proposed several times since the 1890’s. Due to their radical nature and other reasons, these ideas have not gotten much attention. Another essential feature needed to augment the viability of the model proposed here---even more important than matter expansion---is that of space generation. I.e., the production of space by matter, involving motion into or outfrom a fourth spatial dimension. An experiment is proposed whose result would unequivocally (...) either falsify the model or support it. Analyses of star cluster velocity dispersions suggest that some support already exists. The simplest, most definitive way to test the model is to build and operate an apparatus that may be called a Small Low-Energy Non-Collider. Essentially the same experiment was proposed by Galileo in 1632. We are way overdue to at last bring to fruition this idea put forth by the Father of Modern Science so long ago. (shrink)

En las actividades ordinarias de nuestra vida cotidiana encontramos nuestros actos de percepción confrontados por las cosas materiales. A ellos ─actos de percepción─ les atribuimos una existencia "real" asumiéndolos de tal manera que los sumergimos y transfundimos, de forma múltiple e indefinida, dentro del entorno de realidades análogas que se unen para formar un único mundo al que yo, con mi propio cuerpo, pertenezco. Ahora bien sí frente a la cotidianidad descrita anteriormente asumimos una actitud escéptica acerca de lo que (...) es “real” en el mundo,nos descubriremos haciendo una reflexión filosófica. Bajo esta deliberación encontramos que, por ejemplo, la cualidad "verde", tiene existencia por medio de la sensación "verde"asociada a un objeto dado por la percepción, lo que nos lleva a pensar que no tiene sentido vincularla sensación como cosa en sí misma a cosas materiales existentes en sí mismos , esto nos lleva a pensar que las cualidades de los sentidostienen carácter subjetivo.A pesar de esta reflexión es conveniente acotar que esta subjetividad no interesaa las ciencias exactas ya que éstas procuran lo objetivo. -/- Desde este punto de vista,encontramos dentro de los estudios de Galileo Galilei el principio que subyace al método matemáticoconstructivo de nuestra física moderna ; de esta manera, y bajo este principio,los colores ─ por ejemplo “verde”─ son solo vibraciones en un medio repudiando de esta forma el carácter subjetivo a la vez que se mantiene la objetividad. Sin embargo, dentro del campo de la filosofía el idealismo transcendental de Kant marca un cambio de paradigma en relación a lo anterior. Kant sostiene que no solamente las cualidades de los sentidos tienen carácter subjetivo, sino que espacio y tiempo, conceptos fundacionales dentro de la física, no tienen significación absoluta; en otras palabras, espacio y tiempo son formas de nuestra percepción . Para Kant aquello que sustenta nuestra percepción y aquello que sustenta el conocimiento matemático aplicado a la experiencia son lo mismo: intuiciones puras a priori del espacio y el tiempo. De esta manera, y bajo esta perspectiva, sólo la teoría de la relatividad deja muyen claro que las dos esencias: espacio y tiempo, como formas de la intuición en términos kantianos, no tienen lugar en el mundo construido por la física matemática concebida por Galileo . -/- Según esto, los colores no son siquiera vibraciones en un medio sino simplemente una serie de valores de funciones matemáticas en las que se producen cuatro parámetros independientes que corresponden a las tres dimensiones del espacio y la del tiempo, expresado como principio general esto significa que el mundo real y cada uno de sus constituyentes con sus características sólo pueden ser, en términos husserlianos, objetos intencionales de actos de conciencia . En otras palabras: los datos inmediatos que recibo son las experiencias de la conciencia. Esto nos permite afirmar que la sensación de un objeto está presente de una forma físicamente real para mí con quien esa sensación se relaciona. Esto es lo que Brentano llama objeto intencional ;es así como al percibir un objeto, por ejemplo: veo este “libro” mi atención está totalmente dirigida hacia él. Yo "tengo" la percepción, pero sólo cuando hago de esta percepción ─ acto libre de reflexión ─algo que "conozco" con respecto a ella ─y no sólo el “libro”─ llego precisamente a un segundo acto: objetos intencionales de actos de conciencia, que son a los que referíamos antes . -/- El objeto intencional es inmanente y lo que es inmanente es absoluto ; es exactamente lo que es en la forma en que lo tengo, y puedo reducir esto, su esencia, por los actos de reflexión . En otras palabras, es un componente real de mis experiencias; contrario a lo que sucede con el acto primario de percepción, donde el objeto es trascendental , esto es, se da en una experiencia de conciencia pero no es un componente real de la misma. Por otra parte, los objetos trascendentales tienen sólo una existencia fenoménica; son apariencias que se presentan de múltiples maneras. Ninguno de estos modos de aparición puede pretender presentar aquello que percibimos – por ejemplo el libro- tal como es en sí, además en toda percepción está involucrada la tesis de la realidad del objeto que aparece en ella; este último es, de hecho, un elemento fijo y duradero de la tesis general de la realidad del mundo . En resumen, lo que interesa ver claramente es la importancia enel dato de la conciencia como punto de partida en el que debemos situarnos si queremos comprender el significado absoluto . (shrink)