This paper presents a new interpretation of the objects of dianoia in Plato’s divided line, contending that they are mental images of the Forms hypothesized by the dianoetic reasoner. The paper is divided into two parts. A survey of the contemporary debate over the identity of the objects of dianoia yields three criteria a successful interpretation should meet. Then, it is argued that the mental images interpretation, in addition to proving consistent with key passages in the middle books of the (...) Republic, better meets those criteria than do any of the three main positions. (shrink)

Here I interpret a central passage in Plato's Sophist by focusing on understudied elements that provide insight into the fit of the dialogue's parts and the Sophist-Statesman diptych as a whole. I argue that the Eleatic Stranger's account of what the dialectician "adequately views" at Sophist 253d1-e3 involves both division and the communion of ontological kinds, not just one or the other as has been typically argued. I also consider other key passages and the turn throughout the dialogue from imagistic (...) opining toward noetic understanding. (shrink)

We critically reconsider an old hypothesis of the role of the dekad in Pythagorean philosophy. Unlike Zhmud, we claim that: 1) the dekad did play a role in Philolaus’ astronomical system, and 2) Aristotle did not project Plato’s theory of the ten eidetic numbers onto the Pythagoreans. We claim that the dekad, as the τέλειος ἀριθμός, should be understood in Philolaus’ philosophy as completeness and the basis of counting in Greek – as in most other languages – in a decimal (...) system. Additionally, we argue that the number ten is not even a candidate for the τέλειος ἀριθμός in Plato’s philosophy. As a final result of our discussion, we compare and contrast Philolaus’, Plato’s, and Speusippus’ accounts of completeness in relation to numbers. (shrink)

This paper defends Plotinus’ reading ofSophist248e-249d as an expression of the togetherness or unity-in-duality of intellect and intelligible being. Throughout the dialogues Plato consistently presents knowledge as a togetherness of knower and known, expressing this through the myth of recollection and through metaphors of grasping, eating, and sexual union. He indicates that an intelligible paradigm is in the thought that apprehends it, and regularly regards the forms not as extrinsic “objects” but as the contents of living intelligence. A meticulous reading (...) ofSophist248e-249d shows that the “motion” attributed to intelligible being is not temporal change but the activity of intellectual apprehension. Aristotle’s doctrines of knowledge as identity of intellect and the intelligible, and of divine intellect as thinking itself, are therefore in continuity with Plato, and Plotinus’ doctrine of intellect and being is continuous with both Plato and Aristotle. (shrink)

The Parmenides poses the question for what entities there are Forms, and the criticism of Forms it contains is commonly supposed to document an ontological reorientation in Plato. According to this reading, Forms no longer express the excellence of a given entity and a Socratic, ethical perspective on life, but come to resemble concepts, or what concepts designate, and are meant to explain nature as a whole. Plato’s conception of dialectic, it is further suggested, consequently changes into a value-neutral method (...) directed at tracing the interrelation of such Forms, an outlook supposedly documented in certain passages on method from the Sophist and the Statesman as well. -/- The article urges that this reading is untenable. For in the Parmenides the question for what entities one should posit Forms is left open, and the passages on method from the Sophist and Statesman neither encourage a non-normative ontology nor a value-neutral method of inquiry. What the three dialogues encourage us to do is rather to set common opinions about the relative worth and value of things aside when conducting ontological inquiries; and this attitude, the article concludes, demonstrates a close kinship, rather than a significant difference, between Plato’s Socrates and his Eleatic philosophers. (shrink)

In the 'Hippias Major' Socrates uses a counter-example to oppose Hippias‘s view that parts and wholes always have a "continuous" nature. Socrates argues, for example, that even-numbered groups might be made of parts with the opposite character, i.e. odd. As Gadamer has shown, Socrates often uses such examples as a model for understanding language and definitions: numbers and definitions both draw disparate elements into a sum-whole differing from the parts. In this paper I follow Gadamer‘s suggestion that we should focus (...) on the parallel between numbers and definitions in Platonic thought. However, I offer a different interpretation of the lesson implicit in Socrates‘s opposition to Hippias. I argue that, according to Socrates, parts and sum-wholes may share in essential attributes; yet this unity or continuity is neither necessary, as Hippias suggests, nor is it impossible, as Gadamer implies. In closing, I suggest that this seemingly minor difference in logical interpretation has important implications for how we should understand the structure of human communities in a Platonic context. (shrink)

This article presents an historical and conceptual overview on different approaches to logical abstraction. Two main trends concerning abstraction in the history of logic are highlighted, starting from the logical notions of concept and function. This analysis strictly relates to the philosophical discussion on the nature of abstract objects. I develop this issue further with respect to the procedure of abstraction involved by (typed) λ-systems, focusing on the crucial change about meaning and predicability. In particular, the analysis of the nature (...) of logical types in the context of Constructive Type Theory allows elucidation of the role of the previously introduced notions. Finally, the connection to the analysis of abstraction in computer science is drawn, and the methodological contribution provided by the notion of information is considered, showing its conceptual and technical relevance. Future research shall focus on the notion of information in distributed systems, analysing the paradigm of information hiding in dependent type theories. (shrink)

La exposición y crítica de las doctrinas antiguas tiene un lugar importante en los escritos de Aristóteles. Sin embargo, ciertas dudas se han vuelto corrientes acerca de la confiabilidad de sus descripciones. Más aún, se ha sostenido que Aristóteles deforma la comprensión histórica a través de la introducción de conceptos y términos propios. En este libro se aborda el problema a través de un análisis de las críticas que Aristóteles dirige a la teoría platónica de las Ideas, que permite explicar (...) la constitución y desarrollo de importantes conceptos aristotélicos a partir de la confrontación dialéctica con las doctrinas de su maestro. En efecto, las dificultades genuinas que Aristóteles descubre en el platonismo constituyen el motor para gestar nuevos conceptos, que no son ajenos, sino que surgen como implicaciones del examen crítico. Así, la imposición de términos propios no debe interpretarse como distorsión, sino como el modo que Aristóteles adopta para exhibir su particular solución a los problemas que los filósofos anteriores dejaron sin solución. (shrink)

In this paper, we introduce the Hinduism religion and philosophy. We start with introducing the holy books in Hinduism including Vedas and Upanishads. Then, we explain the simplistic Hinduism, Brahman, gods and their incarnations, stories of apocalypse, karma, reincarnation, heavens and hells, vegetarianism, and sanctity of cows. Then, we switch to the profound Hinduism which is the main core of Hinduism and is monotheistic. In profound Hinduism, we focus on the non-dualism or Advaita Vedanta approach in Hinduism. We discuss consciousness, (...) causality, Brahman, psychology based on Hinduism, supportive scientific facts for Hinduism, the four levels of truth, and Maya. The four paths of knowledge, love, karma, and meditation are explained as well as the cosmic mind, the subtle body, and Aum. The risks for every path are also explained. Then, we introduce the orthodox and heterodox Indian schools including Yoga, Nyaya, Advaita Vedanta, Vishishtadvaita, and Dvaita. Connections to some other religions including Buddhism, Jainism, Sikhism, Judaism, Christianity, Islam, Islamic mysticism, and Zoroastrianism are analyzed. Finally, we explain the connection of Hindu philosophy with the Greek, western, and Islamic philosophies which include the philosophies of Plato, Aristotle, Plotinus, Spinoza, Descartes, Hegel, Schopenhauer, Avicenna, Suhrawardi, and Mulla Sadra. (shrink)