An examination of a particular passage in Cicero's De fato—Fat. 13–17—is crucial to our understanding of the Stoic theory of the truth-conditions of conditional propositions, for it has been uniquely important in the debate concerning the kind of connection the antecedent and consequent of a Stoic conditional should have to one another. Frede has argued that the passage proves that the connection is one of logical necessity, while Sorabji has argued that positive Stoic attitudes toward empirical inferences elsewhere suggest that (...) that cannot be the right interpretation of the passage. I argue that both parties to the debate have missed a position somewhere between them which both renders a connection between antecedent and consequent that is not merely empirical and makes sense of the actual uses to which the Stoics put the conditional. This will be an account which grounds the connection between antecedent and consequent in a prolêpsis, a special kind of concept which plays a special epistemological role for the Stoics, especially in grounding scientific explanations. My contention will be that Stoic conditionals are true when there is a conceptually necessary connection between antecedent and consequent such that the former explains the latter via a prolêpsis. (shrink)

R. Saadia Ga'on, which is known to have been substantially influenced by Saadia, in fine is also indebted to Stoic philosophy and physics.

El trabajo se propone evaluar en qué sentido la concepción que la Estoa antigua ha sostenido sobre lo corpóreo no privilegia la dimensión espacial. Es decir, analizaremos el argumento estoico según el cual el lugar o la extensión de un cuerpo no se determina por su posición respecto de otro cuerpo, sino por su actividad o fuerza; más específicamente, por su tensión interna. Por tanto, será nuestro objetivo inicial analizar cuáles son los fundamentos que permitirían dar cuenta de la concepción (...) estoica de lo corpóreo desde un principio biológico y no desde un modelo matemático. Luego, en una segunda instancia, evaluaremos la definición en cuestión en sus articulaciones con la teoría de la causalidad y el determinismo. (shrink)

In Stoic physics, blending (κρᾶσις) is the relation between active pneuma and passive matter; natural bodies from rocks and logs to plants, animals and the cosmos itself are blends of pneuma and matter. Blending structures the Stoic cosmos. I develop a new interpretation of the Stoic theory of blending, based on passages from Hierocles. The theory of blending, I argue, has been misunderstood. Hierocles allows us to see in detail how the theory is supposed to work and how it fits (...) into Stoic physics. (shrink)

A sourcebook/textbook on the problem of free will and determinism. Contains a history of the free will problem, a taxonomy of current free will positions, the standard argument against free will, the physics, biology, and neuroscience of free will, the most plausible and practical solution of the problem, and reviews of the work of the leading determinist Ted Honderich, the leading libertarian Robert Kane, the well-known compatibilist Daniel Dennett, and the determinism-agnostic Alfred Mele.

Void is at the heart of Stoic metaphysics. As the incorporeal par excellence, being defined purely in terms of lacking body, it brings into sharp focus the Stoic commitment to non-existent Somethings. This article argues that Stoic void, far from rendering the Stoic system incoherent or merely ad hoc, in fact reflects a principled and coherent physicalism that sets the Stoics apart from their materialist predecessors and atomist neighbors.

This inaugural handbook documents the distinctive research field that utilizes history and philosophy in investigation of theoretical, curricular and pedagogical issues in the teaching of science and mathematics. It is contributed to by 130 researchers from 30 countries; it provides a logically structured, fully referenced guide to the ways in which science and mathematics education is, informed by the history and philosophy of these disciplines, as well as by the philosophy of education more generally. The first handbook to cover the (...) field, it lays down a much-needed marker of progress to date and provides a platform for informed and coherent future analysis and research of the subject. -/- The publication comes at a time of heightened worldwide concern over the standard of science and mathematics education, attended by fierce debate over how best to reform curricula and enliven student engagement in the subjects There is a growing recognition among educators and policy makers that the learning of science must dovetail with learning about science; this handbook is uniquely positioned as a locus for the discussion. -/- The handbook features sections on pedagogical, theoretical, national, and biographical research, setting the literature of each tradition in its historical context. Each chapter engages in an assessment of the strengths and weakness of the research addressed, and suggests potentially fruitful avenues of future research. A key element of the handbook’s broader analytical framework is its identification and examination of unnoticed philosophical assumptions in science and mathematics research. It reminds readers at a crucial juncture that there has been a long and rich tradition of historical and philosophical engagements with science and mathematics teaching, and that lessons can be learnt from these engagements for the resolution of current theoretical, curricular and pedagogical questions that face teachers and administrators. (shrink)

The surviving sources on the Stoic theory of division reveal that the Stoics, particularly Chrysippus, believed that bodies, places and times were such that all of their parts themselves had proper parts. That is, bodies, places and times were composed of gunk. This realisation helps solve some long-standing puzzles about the Stoic theory of mixture and the Stoic attitude to the present.

The ArgumentIt was commonly accepted in the middle ages that void within or outside the world is impossible. The paper presents a quite unusual conception of void, which is described in Yeda'aya ha-Penini's commentary on Ibn Rushd's epitome on Aristotle's Physics. According to this conception there is a thin layer of void between the water and the inner surface of the container. Ha-Penini describes two versions of this conception. According to one version this void layer is three-dimensional but thin, according (...) to the other it is two-dimensional. The first part of the paper shows how ha-Penini “corrects” the text of Ibn Rushd, putting into it ideas which were unknown to Ibn Rushd. It is argued that, though the two views are rejected by Ibn Rushd, ha-Penini himself partly accepts (his version of) these views. The second part of the paper argues that ha-Penini could not have found these views in the Arabic-Hebrew tradition, and it seems that he relied on Christian sources. If this is indeed so, the paper presents an example of acquaintance of Hebrew scholars in southern France with Scholastic science in the first half of the fourteenth century. (shrink)

Quantum technologies can be presented to the public with or without introducing a strange trait of quantum theory responsible for their non-classical efficiency. Traditionally the message was centered on the superposition principle, while entanglement and properties such as contextuality have been gaining ground recently. A less theoretical approach is focused on simple protocols that enable technological applications. It results in a pragmatic narrative built with the help of the resource paradigm and principle-based reconstructions. I discuss the advantages and weaknesses of (...) these methods. To illustrate the importance of new metaphors beyond the Schrödinger cat, I briefly describe a non-mathematical narrative about entanglement that conveys an idea of some of its unusual properties. If quantum technologists are to succeed in building trust in their work, they ought to provoke an aesthetic perception in the public commensurable with the mathematical beauty of quantum theory experienced by the physicist. The power of the narrative method lies in its capacity to do so. (shrink)

As was first pointed out by Gercke, there are close parallels, which clearly suggest a common source, between Apuleius,de Platone1.12, the treatiseOn Fatefalsely attributed to Plutarch, Calcidius'excursuson fate in his commentary on Plato'sTimaeus, and certain sections of the treatisede Natura hominisby Nemesius. Gercke traced the doctrines common to these works to the school of Gaius; recently however Dillon has pointed out that, while Albinus shares with these works the characteristic Middle-Platonic notion of fate as conditional or hypothetical – our actions (...) are free, but once we have acted the consequences of our actions are fated and inevitable – he doesnotshare certain other common features, such as the identification of fate as substance with the world-soul and the hierarchy of three providences. (shrink)

Some notes discussing some of the ancient and medieval background to the absolute-relational debate. Final version appears as Appendix C in my book, Geometric Possibility.