The philosophical ideas of Plato that relate to the Parthenon include whether the structure is an element of the Visible World or the Intelligible World. In my opinion, Plato would view the Parthenon as an object in the Visible World. The Parthenon is a one of a kind monument that is tangible and exists in our real world. The Parthenon is an architectural project and deals with forms of science and mathematics. Plato's view of science and mathematics are categorized as forms in the Intelligible World, which are intangible. Through analysis of illusory tactics, the Tripartite Soul, the simile of the line, and the artistic qualities of architecture, Plato's, as well as my view of the Parthenon will become evident.
The Parthenon was built
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It can be argued each way that The Parthenon is a work of art, which falls into the Visible World, or that it is a form of science and mathematics that can be sought in the Intelligible World. In my opinion it is both. Since architecture is a scientific, mathematical, and artistic practice, I believe it is an art form. However, we can debate the use of architectural formulas, like using illusory tactics, measurements, and ideas to discuss The Parthenon as a state in Plato's Intelligible World.
Since the construction of The Parthenon required Dialectic reasoning on the part of Iktos and Kallikretes as well as a firm understanding of science and math, it's construction required an exorbitant amount of knowledge. Plato's view of knowledge was the use of dialectic thought and an understanding of science and mathematics. The concepts used to perceive the construction of this magnificent project were derived from the Intelligible World of forms of science and mathematics. Plato would conclude the combination of these sectors from his Divided Line diagram led to the final outcome of The Parthenon. When The Parthenon was complete it is an object in the Visible World, and it also casts shadows images and reflections. The Parthenon according to Plato's view of the world, the structure is a work of art, which cannot be placed into any one sector of the Divided Line.
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