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- Doubling the area of a squareThe Plato Deathbed Geometry Problem involves doubling the area of a square. Initially, the boy suggests doubling the length of the sides, but Socrates shows that this creates a square four times larger. The boy then suggests extending the sides by half their length. Plato gave this problem to mathematicians like Eudoxus and Archytas, who solved it using mechanical means, but Plato wanted a pure geometric solution12.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.The Geometry Problem The boy is asked how to double the area of a square. His confident first answer is that you achieve this by doubling the length of the sides. Socrates shows him that this, in fact, creates a square four times larger than the original. The boy then suggests extending the sides by half their length.www.thoughtco.com/slave-boy-experiment-in-plato…According to Plutarch, Plato gave the problem to Eudoxus and Archytas and Menaechmus, who solved the problem using mechanical means, earning a rebuke from Plato for not solving the problem using pure geometry. This may be why the problem is referred to in the 350s BC by the author of the pseudo-Platonic Sisyphus (388e) as still unsolved.en.wikipedia.org/wiki/Doubling_the_cube
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The Slave Boy Experiment in Plato's 'Meno' - ThoughtCo
Socrates demonstrates that the boy already knows how to double the area of a square, even though he has no mathematical training. He argues that this proves the soul is immortal and that we have some knowledge a priori, not learned from experience. See more
The boy is asked how to double the area of a square. His confident first answer is that you achieve this by doubling the length of the sides. Socrates shows him that … See more
According to Socrates, the boy's ability to reach the truth and recognize it as such proves that he already had this knowledge within him; the questions he was asked … See more
Although the specific doctrine of innate knowledge presented in the Menofinds few takers today, the more general view that we know some things a priori—i.e. prior to experience—is still widely held. Mathematics, in particular, is thought to exemplify this sort of knowledge. We don't arrive at theorems in geometry or arithmetic by conducting empiric... See more
Doubling the cube - Wikipedia
Doubling the cube, also known as the Delian problem, is an ancient geometric problem. Given the edge of a cube, the problem requires the construction of the edge of a second cube whose volume is double that of the first. As with the related problems of squaring the circle and trisecting the angle, doubling the cube is now known to be impossible to construct by using only a compass and straightedge
Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 9 mins
Plato’s Meno: Recollection and the Geometry Problem - YouTube
Plato's Meno Part 2; A Common Uneducated Slave Does Geometry
WEBMar 11, 2023 — A Common Slave Does Geometry. It would be too cumbersome to put the entire dialogue in this post where Socrates questions Meno’s slave to the point that he …
Plato's Meno Plot, Analysis, and Commentary on …
WEBJun 20, 2019 — Socrates responds by calling over an enslaved boy, who he establishes has had no mathematical training, and setting him a geometry problem. Drawing a square in the dirt, Socrates asks the boy how to …
WEBPlato presents a justly famous example of geometrical discovery in the Meno (82b-85c). He shows how one might arrive at knowledge of the theorem that the area of the square on …
Plato on Geometry and the Geometers | SpringerLink
WEBOct 19, 2019 — The present paper aspires to explain fully both the supreme importance of Geometry for Plato, and also the nature of the serious criticism that Plato directs against …
WEBPlato’s Meno|the geometry How to double the size (area) of a square: The \short version": Given a square whose sides are 2 units long and so whose area is four square units, the …
WEB1. The slave boy didn't know the answer D, at the beginning of the inquiry. (85c) • He had never studied geometry in the past (85e) • He initially gave wrong answers. (e.g., 82e) …
Meno Section 2: 80 - 86 Summary & Analysis | SparkNotes
WEBA summary of Section 2: 80 - 86 in Plato's Meno. Learn exactly what happened in this chapter, scene, or section of Meno and what it means. Perfect for acing essays, tests, …
Ancient Conceptions of Analysis - Stanford Encyclopedia of …
WEBThis supplement provides an outline of the conceptions of analysis involved in ancient Greek geometry and Plato’s and Aristotle’s philosophies, together with a comparison …
Plato FAQ: "Let no one ignorant of geometry enter"
WEB("Plato had written at the front door of his house: "Let no one who is not geometer enter under my roof", that is, "Let non one unjust sneak in here", because geometry is …
WEBTo show Meno that one can answer the question \What is virtue?", Socrates teaches a slave how to solve a geometric problem. Question: In what way is learning geometric …
Plato's Meno: An Interpretation - University of Notre Dame
WEBIf it weren't for what Leibniz called Plato's "beautiful experiment" with Meno's intelligent slave ('boy' is a misnomer), one might wonder whether the Meno is really about virtue at …
Plato, Republic, Book 7, section 527b - Perseus Digital Library
WEB“And must we not agree on a further point?” “What?” “That it is the knowledge of that which always is, 2 and not of a something which at some time comes into being and passes …
Meno: Full Work Summary | SparkNotes
WEBA short summary of Plato's Meno. This free synopsis covers all the crucial plot points of Meno.
WEBPlato on Geometrical Hypothesis in the Meno Abstract: This paper examines the second geometrical problem in the Meno. Its purpose is to explore the implication of Cook …
(PDF) The geometry in Plato's Meno - Academia.edu
WEBThis paper examines the second geometrical problem in the Meno. Its purpose is to explore the implication of Cook Wilson’s interpretation, which has been most widely accepted by scholars, in relation to the nature of …
[2111.03946] The geometry in Plato's Meno - arXiv.org
WEBNov 6, 2021 — In this paper, we analyze the two geometrical passages in Plato's Meno, (81c -- 85c) and (86e4 -- 87b2), from the points of view of a geometer in Plato's time and …
WEBclues famously given by Plato in his Timaeus provide the key to understanding the original geometric design framework. Having allocated the four elements (Water, Earth, Fire and …
How To Use the Socratic Method
WEBThe Geometry Experiment in Plato's Meno. Example of Socratic questioning with known answers. Max Maxwell. All Rights Reserved. This is an example of the "Modern Socratic …
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Plato - Springer
WEBIt was Plato who insisted that a 'proper' solution of a geometry problem involves no curves other than the circle (see Timaeus 34a). It was Plato who emphasised the importance of …
Plato’s forms, mathematics and astronomy - Bryn Mawr Classical …
WEBApr 4, 2020 — Impressively brief conclusions (pp. 135-7) reemphasize the importance of mathematics and astronomy as propaedeutics to philosophy, while simultaneously …
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