Analogy of the divided line - Wikipedia, the free encyclopedia
Plato, in his dialogue The Republic Book 6 (509D–513E), has Socrates explain the literary device of a divided line to teach basic philosophical ideas about the four levels of existence (especially...
en.wikipedia.org/wiki/Analogy_of_the_divided_line
The Four Stages of Cognition ... Source of Perception ... THE GOOD; Author and governor of the intelligible order, of the world of reality...
www.cwu.edu/~warren/Unit1/divline.htm www.cwu.edu/~warren/Unit1/divline.htm
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www.clas.ufl.edu/users/rhatch/HIS-SCI-STUDY-GUIDE/0019_... www.clas.ufl.edu/users/rhatch/HIS-SCI-STUDY-GUIDE/0019_platoDividedLine.html
The Divided Line (The Republic , Book VI) ...    Now take a line which has been cut into two unequal parts and divide each of them again in the same proportion, 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...
www.wsu.edu/~dee/GREECE/ALLEGORY.HTM
So the line is divided into the invisible but intelligible world (from whence comes our ideas and understandings) and the visible of objects. At the top of all is the Good, which shines down on all and illuminates.
library.thinkquest.org/18775/gather/messages/58.html
Allegory of the cave - Wikipedia, the free encyclopedia
The Allegory of the Cave , also commonly known as Myth of the Cave , Metaphor of the Cave , The Cave Analogy , Plato's Cave or the Parable of the Cave , is an allegory used by the Greek ph...
en.wikipedia.org/wiki/Allegory_of_the_cave
The question I shall be addressing is rather a traditional puzzle in the history of thought.  Why, in the Divided Line passage of the Republic, does Plato relegate mathematics (geometry and arithmetic) to dianoia rather than noēsis?  That is, why is mathematics considered a method of the lower Forms rather than a...
www.raleightavern.org/dividedline.htm www.raleightavern.org/dividedline.htm
In fact, Plato held that each of these has two distinct varieties, so that we can picture the entire array of human cognition as a line divided proportionately into four segments. (Republic 509d) ... Plato recognized that the picture of the Divided Line may be difficult for many of us to understand.
www.philosophypages.com/hy/2h.htm
Plato's own theory of knowledge is found in the Republic, particularly in his discussion of the image of the divided line and the myth of the cave. In the former, Plato distinguishes between two levels of awareness: opinion and knowledge.
www.crystalinks.com/plato.html
Divided Line (PDF File)
www.philosophy.uncc.edu/wcgay/ipdividedline.pdf www.philosophy.uncc.edu/wcgay/ipdividedline.pdf