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In The Republic (509d–510a), Socrates describes the divided line to Glaucon this way: . Now take a line which has been cut into two unequal parts, and divide each of them again in the same proportion, [1] and suppose the two main divisions to answer, one to the visible and the other to the intelligible, and then compare the subdivisions in respect of their clearness and want of clearness ...
In mathematics, Plateau's problem is to show the existence of a minimal surface with a given boundary, a problem raised by Joseph-Louis Lagrange in 1760. However, it is named after Joseph Plateau who experimented with soap films. The problem is considered part of the calculus of variations.
Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]
Before I launch this crtique, let me say thet this article, is well wriiten, and accurately reflects most contemporary understanding of Plato's divided line. The problem is that it does refect contemporary understanding which means it is almost by definition biased toward empericism, materialism, Aristotelianism. An accurate explanation of the ...
Microsoft Math contains features that are designed to assist in solving mathematics, science, and tech-related problems, as well as to educate the user. The application features such tools as a graphing calculator and a unit converter. It also includes a triangle solver and an equation solver that provides step-by-step solutions to each problem.
Meno, in a collection of Plato's Dialogues at Standard Ebooks; Approaching Plato: A Guide to the Early and Middle Dialogues; Guides to the Socratic Dialogues: Plato's Meno. A beginner's guide to the Meno; Plato's Meno: Contretemps in the Classroom; Meno 82b-85d A Visual Representation of the Geometry in Socrates' Interrogation of the Slave
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Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.