What Is the Principle of Movement, the Self-moved (Plato) or the Unmoved (Aristotle)? The Exegetic Strategies of Hermias of Alexandria and Simplicius in Late Antiquity, 2020
By: Longo, Angela, Finamore, John F. (Ed.), Manolea, Christina-Panagiota (Ed.)
Title What Is the Principle of Movement, the Self-moved (Plato) or the Unmoved (Aristotle)? The Exegetic Strategies of Hermias of Alexandria and Simplicius in Late Antiquity
Type Book Section
Language English
Date 2020
Published in Studies in Hermias’ Commentary on Plato’s Phaedrus
Pages 115-141
Categories no categories
Author(s) Longo, Angela
Editor(s) Finamore, John F. , Manolea, Christina-Panagiota
Translator(s)
In this paper, I will compare Plato’s Phaedrus 245c–e with Aristotle’s Physics VIII 5. In the Phaedrus passage, Plato describes the soul as that which moves by itself and therefore is always moving (and hence is immortal), and as the principle of movement for all moving things. In the Physics chapter, Aristotle assigns the pre-eminent role to that which, among moving things, moves by itself, and makes the case for the existence of something that moves while remaining unmoved. This Aristotle regards as the prime mover of all moving things, including self-moving ones. [introduction]

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Argument from Hypothesis in Ancient Philosophy, 2011
By: Longo, Angela (Ed.), Del Forno, Davide (Coll.) (Ed.)
Title Argument from Hypothesis in Ancient Philosophy
Type Edited Book
Language undefined
Date 2011
Publication Place Napoli
Publisher Bibliopolis
Categories no categories
Author(s)
Editor(s) Longo, Angela , Del Forno, Davide (Coll.)
Translator(s)
2011

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ΑΠΑΓΩΓΗ: The method of Hippocrates of Chios and Plato's hypothetical method in the Meno, 2011
By: Karasmanis, Vassilis, Longo, Angela (Ed.), Del Forno, Davide (Coll.) (Ed.)
Title ΑΠΑΓΩΓΗ: The method of Hippocrates of Chios and Plato's hypothetical method in the Meno
Type Book Section
Language English
Date 2011
Published in Argument from Hypothesis in Ancient Philosophy
Pages 21-41
Categories no categories
Author(s) Karasmanis, Vassilis
Editor(s) Longo, Angela , Del Forno, Davide (Coll.)
Translator(s)
In this essay, I am going to argue that the Greek geometer of the late fifth century B.C. Hippocrates of Chios1 was the first who systematically employed a method of indirect proof called apagoge (reduction). Apagoge is probably the early stage of the geo­metrical method of analysis and synthesis, and consists roughly in reducing one problem (or theorem) to another. Reductions can be continued until we arrive at something already known, or at something that is possible to be solved directly. Finally, I shall support the view that «the method of geometers» to which Plato refers in the Meno is the geometrical method of apagoge. [introduction, p. 21]

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  • PAGE 1 OF 1
Argument from Hypothesis in Ancient Philosophy, 2011
By: Longo, Angela (Ed.), Del Forno, Davide (Coll.) (Ed.)
Title Argument from Hypothesis in Ancient Philosophy
Type Edited Book
Language undefined
Date 2011
Publication Place Napoli
Publisher Bibliopolis
Categories no categories
Author(s)
Editor(s) Longo, Angela , Del Forno, Davide (Coll.)
Translator(s)
2011

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What Is the Principle of Movement, the Self-moved (Plato) or the Unmoved (Aristotle)? The Exegetic Strategies of Hermias of Alexandria and Simplicius in Late Antiquity, 2020
By: Longo, Angela, Finamore, John F. (Ed.), Manolea, Christina-Panagiota (Ed.)
Title What Is the Principle of Movement, the Self-moved (Plato) or the Unmoved (Aristotle)? The Exegetic Strategies of Hermias of Alexandria and Simplicius in Late Antiquity
Type Book Section
Language English
Date 2020
Published in Studies in Hermias’ Commentary on Plato’s Phaedrus
Pages 115-141
Categories no categories
Author(s) Longo, Angela
Editor(s) Finamore, John F. , Manolea, Christina-Panagiota
Translator(s)
In this paper, I will compare Plato’s Phaedrus 245c–e with Aristotle’s Physics
VIII 5. In the Phaedrus passage, Plato describes the soul as that which moves
by itself and therefore is always moving (and hence is immortal), and as the
principle of movement for all moving things. In the Physics chapter, Aristotle assigns the pre-eminent role to that which, among moving things, moves
by itself, and makes the case for the existence of something that moves while
remaining unmoved. This Aristotle regards as the prime mover of all moving
things, including self-moving ones. [introduction]

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ΑΠΑΓΩΓΗ: The method of Hippocrates of Chios and Plato's hypothetical method in the Meno, 2011
By: Karasmanis, Vassilis, Longo, Angela (Ed.), Del Forno, Davide (Coll.) (Ed.)
Title ΑΠΑΓΩΓΗ: The method of Hippocrates of Chios and Plato's hypothetical method in the Meno
Type Book Section
Language English
Date 2011
Published in Argument from Hypothesis in Ancient Philosophy
Pages 21-41
Categories no categories
Author(s) Karasmanis, Vassilis
Editor(s) Longo, Angela , Del Forno, Davide (Coll.)
Translator(s)
In this essay, I am going to argue that the Greek geometer of the late fifth century B.C. Hippocrates of Chios1 was the first who systematically employed a method of indirect proof called apagoge (reduction). Apagoge is probably the early stage of the geo­metrical method of analysis and synthesis, and consists roughly in reducing one problem (or theorem) to another. Reductions can 
be continued until we arrive at something already known, or at something that is possible to be solved directly. Finally, I shall support the view that «the method of geometers» to which Plato 
refers in the Meno is the geometrical method of apagoge. [introduction, p. 21]

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