| 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] |
| Online Resources | https://uni-koeln.sciebo.de/s/0VGhhdXeEliWPq6 |
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| 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] |
| Online Resources | https://uni-koeln.sciebo.de/s/0VGhhdXeEliWPq6 |
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