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Chrysippus on Mathematical Objects

David G. Robertson

Ancient Philosophy 24 (1):169-191 (2004)

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Colocation and the Stoic Definition of Blending.Reier Helle - 2022 - Phronesis 67 (4):462-497.details This paper considers what function—if any—colocation of bodies may have in the Stoic theory of blending (κρᾶσις), by examining (1) whether colocation is part of the definition of what blending is; and (2) whether colocation is posited by the Stoics as a requirement necessary for the definition to be satisfied. I reconstruct the standard, Chrysippean definition of blending, and I show that the answer to (1) is ‘no’; further, I argue that the evidence gives no reason to affirm (2). Thus, (...) Download Export citation Bookmark 1 citation
Hierocles and the Stoic Theory of Blending.Reier Helle - 2018 - Phronesis 63 (1):87-116.details 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) Download Export citation Bookmark 3 citations
Some Aspects of the Theory of Abstraction in Plotinus and Iamblichus.Claudia Maggi - 2015 - International Journal of the Platonic Tradition 9 (2):159-176.details _ Source: _Volume 9, Issue 2, pp 159 - 176 The purpose of this paper is the analysis of the Plotinian and Iamblichean reading of the Aristotelian theory of abstraction, and its relationship with the status of mathematical entities, as they were conceived within a Platonic model, according to which mathematical objects are ontological autonomous and separate. Download Export citation Bookmark
How Nothing Can Be Something: The Stoic Theory of Void.Vanessa de Harven - 2015 - Ancient Philosophy 35 (2):405-429.details 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. Download Export citation Bookmark 7 citations
Bodies and Their Effects: The Stoics on Causation and Incorporeals.Wolfhart Totschnig - 2013 - Archiv für Geschichte der Philosophie 95 (2):119-147.details The Stoics offer us a very puzzling conception of causation and an equally puzzling ontology. The aim of the present paper is to show that these two elements of their system elucidate each other. The Stoic conception of causation, I contend, holds the key to understanding the ontological category of incorporeals and thus Stoic ontology as a whole, and it can in turn only be understood in the light of this connection to ontology. The thesis I defend is that the (...) Download Export citation Bookmark 1 citation

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