Rules for the Direction of the Mind: Discourse on the Method : Meditations on First Philosophy : Objections Against the Meditations and Replies : The Geometry
Is it possible to be certain of anything? If so, how? The father of modern philosophy and the founder of rational method in philosophical thought, René Descartes (1596–1650) sought the answers to these questions and in doing so, addressed the most important of methods of thinking and understanding truth. In Discourse on Method, he applies a scientific approach to philosophy that comprises four principles: to accept only what reason recognizes as "clear and distinct"; to analyze complex ideas by dividing them into smaller elements; to reconstruct the ideas; and to make accurate and complete enumerations of the data. His Meditations proceed according to this method, exploring the mind/body distinction, the nature of truth and error, the existence of God, and the essence of material things.
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Where they are inour method helps us greatly in making the commensurable with our unit we shall employ progress which this transformation effects . the following figure , Finally , remember that of the dimensions of continuous magnitude ...
demonstrated , and finally all the reasons from In the fifth Meditation corporeal nature gen- which we may deduce the existence of material erally is explained , and in addition to this the things are set forth .
... an oval of the first class and AC the first part of one of the third class . Finally , if де AM is equal to the curves AC and CY must both be hyperbolas . d - e > d - e These two problems can be extended to an infinity of 330 GEOMETRY.
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