This interdisciplinary volume collects contributions from experts in their respective fields with as common theme diagrams. Diagrams play a fundamental role in the mathematical visualization and philosophical analysis of forms in space. Some of the most interesting and profound recent developments in contemporary sciences, whether in topology, geometry, dynamic systems theory, quantum field theory or string theory, have been made possible by the introduction of new types of diagrams, which, in addition to their essential role in the discovery of new classes of spaces and phenomena, have contributed to enriching and clarifying the meaning of the operations, structures and properties that are at the heart of these spaces and phenomena. The volume gives a closer look at the scope and the nature of diagrams as constituents of mathematical and physical thought, their function in contemporary artistic work, and appraise, in particular, the actual importance of the diagrams of knots, of braids, of fields, of interaction, of strings in topology and geometry, in quantum physics and in cosmology, but also in theory of perception, in plastic arts and in philosophy. The editors carefully curated this volume to be an inspiration to students and researchers in philosophy, phenomenology, mathematics and the sciences, as well as artists, musicians and the general interested audience.

Adriel M. Trott challenges the wholesale acceptance of the view that nature operates in Aristotle's work on a craft model, which implies that matter has no power of its own. Instead, she argues for a robust sense of matter in Aristotle in response to feminist critiques. She finds resources for thinking the female's contribution - and the female - on its own terms and not as the contrary to form, or the male.

Joseph Bobik offers a translation of Aquinas’s De Principiis Naturae (circa 1252) and De Mixtione Elementorum (1273) accompanied by a continuous commentary, followed by two essays: “Elements in the Composition of Physical Substances” and “The Elements in Aquinas and the Elements Today.” The Principles of Nature introduces the reader to the basic Aristotelian principles such as matter and form, the four causes so fundamental to Aquinas’s philosophy. On Mixture of the Elements examines the question of how the four elements (earth, air, fire, and water) remain within the physical things composed from them.

In Form, Matter, Substance, Kathrin Koslicki develops a contemporary defense of the Aristotelian doctrine of hylomorphism. According to this approach, objects are compounds of matter (hule) and form (morphe or eidos) and a living organism is not exhausted by the body, cells, organs, tissue and the like that compose it. Koslicki argues that a hylomorphic analysis of concrete particular objects is well equipped to compete with alternative approaches when measured against a wide range of criteria of success. However, a plausible application of the doctrine of hylomorphism to the special case of concrete particular objects hinges on how hylomorphists conceive of the matter composing a concrete particular object, its form, and the hylomorphic relations which hold between a matter-form compound, its matter and its form. Koslicki offers detailed answers these questions surrounding a hylomorphic approach to the metaphysics of concrete particular objects. As a result, matter-form compounds emerge as occupying the privileged ontological status traditionally associated with substances due to their high degree of unity.

Space, Time, Matter, and Form collects ten of David Bostock's essays on themes from Aristotle's Physics, four of them published here for the first time. The first five papers look at issues raised in the first two books of the Physics, centred on notions of matter and form, and the idea of substance as what persists through change. They also range over other of Aristotle's scientific works, such as his biology and psychology and the account of change in his De Generatione et Corruptione. The volume's remaining essays examine themes in later books of the Physics, including infinity, place, time, and continuity. Bostock argues that Aristotle's views on these topics are of real interest in their own right, independent of his notions of substance, form, and matter; they also raise some pressing problems of interpretation, which these essays seek to resolve.

Examines Aristotle's doctrine of hylomorphism and its importance for understanding the process by which substances come into being.

Matter and form have been fundamental principles in natural science since Greek Antiquity and their apparent rejection during the seventeenth century typically has been described as a precursor to the emergence of modern science. This volume reconsiders the fate of these principles and the complex history of their reception. By analyzing work being done in physics, chemistry, theology, physiology, psychology, and metaphysics, and by considering questions about change, identity, and causation, the contributors show precisely how matter and form entered into early modern science and philosophy. The result is our best picture to date of the diverse reception of matter and form among the innovators of the early modern period.

Maimonides’ Guide of the Perplexed has traditionally been read as an attempt to harmonize reason and revelation. Another, more recent interpretation takes the contradiction between philosophy and religion to be irreconcilable, and concludes that the Guide prescribes religion for the masses and philosophy for the elite. Moving beyond these familiar debates, Josef Stern argues that the perplexity addressed in this famously enigmatic work is not the conflict between Athens and Jerusalem but the tension between human matter and form, between the body and the intellect. Maimonides’ philosophical tradition takes the perfect life to be intellectual: pure, undivided contemplation of all possible truths, from physics and cosmology to metaphysics and God. According to the Guide, this ideal cannot be realized by humans. Their embodied minds cannot achieve scientific knowledge of metaphysics, and their bodily impulses interfere with exclusive contemplation. Closely analyzing the arguments in the Guide and its original use of the parable as a medium of philosophical writing, Stern articulates Maimonides’ skepticism about human knowledge of metaphysics and his heterodox interpretations of scriptural and rabbinic parables. Stern shows how, in order to accommodate the conflicting demands of the intellect and the body, Maimonides creates a repertoire of spiritual exercises, reconceiving the Mosaic commandments as training for the life of the embodied mind. By focusing on the philosophical notions of matter and form, and the interplay between its literary form and subject matter, Stern succeeds in developing a unified, novel interpretation of the Guide.

Mark Eli Kalderon presents an original study in the philosophy of perception written in the medium of historiography. He considers the phenomenology and metaphysics of sensory presentation through the examination of an ancient aporia. Specifically, he argues that a puzzle about perception at a distance is behind Empedocles' theory of vision. Empedocles conceives of perception as a mode of material assimilation, but this raises a puzzle about color vision, since color vision seems to present colors that inhere in distant objects. But if the colors inhere in distant objects how can they be taken in by the organ of sight and so be palpable to sense? Aristotle purports to resolve this puzzle in his definition of perception as the assimilation of sensible form without the matter of the perceived particular. Aristotle explicitly criticizes Empedocles, though he is keen to retain the idea that perception is a mode of assimilation, if not a material mode. Aristotle's notorious definition has long puzzled commentators. Kalderon shows how, read in light of Empedoclean puzzlement about the sensory presentation of remote objects, Aristotle's definition of perception can be better understood. Moreover, when so read, the resulting conception of perception is both attractive and defensible.