The Timaeus is the dialogue that was for many centuries the most influential of Plato’s works. Among its readers we find Descartes, Boyle, Kepler and Heisenberg. In the first division of Timaeus Plato deals with the theory of celestial motion, in the second he presents us with the first mathematical theory of the structure of matter. Here, in a gigantic step forward with respect to the preceding Democritean atomistic theory with its unalterable micro-entities, he introduces the intertransformability of elementary corpuscles (...) and with that the first “chemical” reactions in history. Plato’s geometrical interpretation of Empedocles’ elements and his geometrical atomism is described at the molecular, atomic and sub-atomic level. The “chemical” reactions reported in Timaeus are written in the enlightening chemical symbolism, analogies with modern chemistry are noticed throughout. (shrink)

One of the hardest questions to answer for a (Neo)platonist is to what extent and how the changing and unreliable world of sense perception can itself be an object of scientific knowledge. My dissertation is a study of the answer given to that question by the Neoplatonist Proclus (Athens, 411-485) in his Commentary on Plato’s Timaeus. I present a new explanation of Proclus’ concept of nature and show that philosophy of nature consists of several related subdisciplines matching the ontological stratification (...) of nature. Moreover, I demonstrate that for Proclus philosophy of nature is a science, albeit a hypothetical one, which takes geometry as its methodological paradigm. I also offer an explanation of Proclus’ view of what is later called the mathematization of physics, i.e. the role of the substance of mathematics, as opposed to its method, in explaining the natural world. Finally, I discuss Proclus’ views of the discourse of philosophy of nature and its iconic character. (shrink)

Algunos elementos de la filosofía platónica establecidos en tratados apologéticos de muchos escritores cristianos entre los cuales se encuentra el ateniense Atenágoras y su conocida obra πρεσβεία περὶ χριστιανῶν, cuya versión del helenista y teólogo español Daniel Ruiz será el objeto de estudio en el presente texto, demuestran un especial interés por la exposición de la cosmología. Si bien esta temática hace las veces de un intento por demostrar racionalmente la trascendencia de lo divino y la seguida generación del universo (...) por causa del designio y poder de Dios, no se trata de una exposición meticulosa de las ideas de filósofos que el mismo Atenágoras cita sino más bien de una exégesis cristiana acerca de Platón en la que pareciese que incurrieran tales escritores, al menos por ser este uno de los autores que abogan por la filosofía griega, para realizar una reflexión profunda sobre la fe. (shrink)

This chapter contains sections titled: Going Beyond Nature in Order to Explain it Technē, epistēmē and alēthēs doxa Mathematics, pure and applied Observation and Experimental Verification Bibliography.

Despite the fact that the theory of Forms is regarded as the hallmark of Plato’s philosophy, it has remained remarkably elusive, because it is more hinted at than explained in his dialogues. Given the uncertainty concerning the nature and extension of the Forms, this article makes no pretense to coming up with solutions to all problems that have occupied scholars since antiquity. It aims to elucidate only two aspects of that theory: the indication in certain dialogues that the Forms are (...) what in modern parlance are called functions or purposes, and the indication in other dialogues that such functions rely on harmonious structures. (shrink)

In this article, I make the case for the continued relevance of Plato’s Timaeus. I begin by sketching Allan Bloom’s picture of the natural sciences today in The Closing of the American Mind, according to which the natural sciences are, objectionably, increasingly specialized and have ejected humans qua humans from their purview. I argue that Plato’s Timaeus, despite the falsity of virtually all of its scientific claims, provides a model for how we can pursue scientific questions in a comprehensive way (...) that stresses their connections to other disciplines, including the humanities, and that puts humanity qua humanity back in the picture. I then argue that being led by Plato’s philosophy to return humanity conceptually to the natural world can improve our thinking regarding climate change and other important environmental crises. (shrink)

In this paper I show that Proclus is an adherent of the Classical Model of Science as set out elsewhere in this issue (de Jong and Betti 2008), and that he adjusts certain conditions of the Model to his Neoplatonic epistemology and metaphysics. In order to show this, I develop a case study concerning philosophy of nature, which, despite its unstable subject matter, Proclus considers to be a science. To give this science a firm foundation Proclus distills from Plato’s Timaeus (...) the basic concepts Being and Becoming and a number of basic propositions, among others the quasi-definitions of the basic concepts. He subsequently explains the use of these quasi-definitions, that are actually epistemic guides, in such a way that he obtains a connection between a rational and an empirical approach to the natural world. A crucial task in establishing the connection is performed by the faculty of doxa and by geometrical conversion. The result is that Proclus secures a universal, necessary and known foundation for all of philosophy of nature. (shrink)

Por mucho tiempo se ha sostenido que, de entre los primeros presocráticos, Anaxímenes es quien poseía la teoría más detallada sobre el cambio. En efecto, su teoría del cambio fue una de sus contribuciones fundamentales a la historia de la filosofía. Hace treinta años esa opinión fue puesta en tela de juicio y el argumento fue recientemente repetido en una edición revisada de Anaxímenes. Hasta el momento, no tengo noticia de que tal cuestión haya sido respondida. En el presente ensayo (...) quisiera argumentar que, aunque hay algo erróneo en la interpretación tradicional de la teoría del cambio de Anaxímenes, no es lo que los objetores dicen que es: en verdad Anaxímenes posee una importante teoría del cambio, de la cual se tiene una significativa evidencia antigua. (shrink)

In Philolaus’ cosmology, the earth revolves around a central fire along with the other heavenly bodies, including a planet called the counter-earth which orbits below the earth. His theory can account for most astronomical phenomena. A common criticism of his theory since ancient times is that his counter-earth does no work in the system. Yet ancient sources say the planet was supposed to account for some lunar eclipses. A reconstruction of Philolaus’ cosmology shows how lunar eclipses occurring at certain times (...) of day cannot be explained by earth blocking the sun’s light. The counter-earth could explain these eclipses. (shrink)