In the early twentieth century Walter Benjamin introduced the idea of epochal and ongoing progression in interaction between mind and the built environment. Since early antiquity, the present study suggests, Benjamin’s notion has been manifest in metaphors of gender in city-form, whereby edifices and urban voids have represented masculinity and femininity, respectively. At the onset of interaction between mind and the built environment are prehistoric myths related to the human body and to the sky. During antiquity gender projection can be (...) detected in western perceptions linking natural and built environments, commencing with Plato’s Atlantis and his Myth of Er, and later as a likely import of the Chinese yin-yang mythology. Culminating with the Age of Discovery, alongside advances in experiential awareness of the Earth’s sphericity, respective feminine and masculine earmarks can be detected in early modern perspicacity of the Earth’s southern and northern hemispheres. Our conceptions of natural and built environments inherently continue to contain gender traits. Yet urban voids, as the feminine face of city-form, have been severely understated in the built environment. Through design and configuration of urban voids, allegories of femininity in city-form ought to be celebrated, not discarded. (shrink)

Porphyry's account of the nature of seeds can shed light on some less appreciated details of Neoplatonic psychology, in particular on the interaction between individual souls. The process of producing the seed and the conception of the seed offer a physical instantiation of procession and reversion, activities that are central to Neoplatonic metaphysics. In an act analogous to procession, the seed is produced by the father's nature, and as such it is ontologically inferior to the father's nature. Thus, the seed (...) does not strictly speaking contain a full-fledged vegetative soul. Rather, it acquires its vegetative soul only while it is being actualized by an actual vegetative soul. This actualization takes place primarily at conception, where the seed as it were reverts back and becomes obedient to the mother's nature, but continues through the period of gestation. In this way, Porphyry can account both for maternal resemblance and for ideoplasty. He uses the Stoic language of complete blending to describe the mother's relation to the seed and embryo, and this reveals that he thinks of individuals as having their own unique individual natures (as opposed to sharing in a single universal nature). In the course of developing this theory, Porphyry makes significant revisions to his philosophical predecessors' views in both embryology and botany. He revises Aristotle's verdict on the relative importance of the female in generation as well as Theophrastus' explanation of the biological mechanics of grafting. Although Plotinus nowhere addresses embryology in the same detail as Porphyry does, we can conclude from his remarks on seeds and plants that his own views were similar to those of his student. (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 the Timaeus, Plato makes a distinction between reason and necessity. This distinction is often accounted for as a distinction between two types of causation: purpose oriented causation and mechanistic causation. While reason is associated with the soul and taken to bring about its effects with the good and the beautiful as the end, necessity is understood in terms of a set of natural laws pertaining to material things. In this paper I shall suggest that there are reasons to reconsider (...) the latter part of this account and argue for a non-mechanistic understanding of necessity. I will first outline how the notion of necessity is introduced in the dialogue. I will then show how a mechanistic account of necessity fails to capture Plato’s purpose of treating it as a causal factor; and, finally, argue that this purpose is better understood as an attempt, on Plato’s part, to account for the causal origin of disorder and irrationality, an origin articulated in terms of a pre-cosmic situation and the notoriously difficult notion of the third kind. (shrink)

In Plato’s Timaeus, two different theories – the Receptacle theory and the geometrical particle theory – are presented to explain change in the natural world. In this paper, I argue that there is tension between the two theories. After examining several possible solutions for this tension, I conclude that Plato does not present it as something ready to be solved within the dialogue but, rather, as something to be understood in a way that maintains both theories. Finally, I also argue (...) that the contrast between the two theories in the Timaeus derives from a similar contrast in the Phaedo. (shrink)

The aim of this paper is to examine the implications of Plato’s use of the term stoicheion, since his awareness of stoicheion’s polysemy reveals his view of the origin, the complexity and, at the same time, the order of reality. Moreover, his use of stoicheion allowed him both to inherit and to detach himself from his predecessors. I begin by presenting the history of the notion of stoicheion; then, since one of the meanings of stoicheion is ‘letter of the alphabet’, (...) I focus on the Cratylus, which contains the first of several passages where Plato employs the alphabet as a paradigm for the structure of a complex system. Finally, I turn to the Theaetetus, where Plato, for the first time, uses stoicheion in the sense of ‘element’ and where, through the relation letters/syllables, Plato clarifies that enumeration and juxtaposition are not sufficient to attain the real knowledge. I will argue that only thanks to these steps can we understand the occurrences of stoicheion in the Timaeus, where Plato first states that air, earth, fire and water are not stoicheia tou pantos, and then reveals that, instead, the basic triangles are ‘the elements of the universe’. (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)

Discusses the importance of the early history of Greek mathematics to education and civic life through a study of the Parthenon and dialogues of Plato.

Plato tries to explain the becoming of the cosmos by referring to the concepts of order and disorder. Scholars have usually focused on the relationship between the cosmos and the demiurge that Plato puts forward to explain the reasonable development. Along these lines, scholarship has examined the providential role played by both the demiurge and the soul of the world. Yet, an interesting prob­lem still remains open: what exactly is the function of disorder? What is the sense of the concept (...) of a perfectly established order if we do not know the manner in which it is achieved, since we have no understand­ing of the conditions that make it possible? Pursuing this line of thought, one may point to a providential role of the disorder given the balance of forces that operates in Plato’s cosmic becoming. (shrink)