criticism of the classical philosophical systems can not ignore the criticism of their methods of investigation. Descartes is committed to define four basic rules of this new method will allow a deeper understanding accurate in the world: 1. The first rule should be that the evidence: if you want to know for sure, you can not accept any data that does not possess the character of the clarity, immediacy and distinction. It 'clear that what is obvious, and it is clear what is immediately obvious to the senses, clearly distinct from other types of ("never accept anything as true if not clearly recognized as such"), 2. The second rule is the analysis: the problem must first be broken down and tackled starting from the analysis of its individual parts ("divide each of the difficulties to be tested in as many parts as possible and necessary to solve them"); 3. The third rule is a summary: the problem breaks down into its individual parts must be reconstructed from the data that have been deemed valid in a certain and incontrovertible ("To lead my thoughts in order, starting with the simplest objects and easier to know, to rise gradually, as by degrees, to the more complex knowledge), 4. The fourth rule is the enumeration, which is the final verification of data, a conservative rule that requires the need to review each critical stage of the proceedings in order to eliminate residual errors ("Be everywhere enumerations so complete and reviews so general as to be sure not to omit anything "). These are rules that belong to Descartes already in the procedure mathematics and geometry, which retain the quality of proceeding for long chains of reasoning that are based on a deduction each verified chains that lead to the establishment of laws and principles on the basis of the summary of the individual steps. E 'and the example of the mathematical procedure geometric true science must be taken to avoid making mistakes.
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