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Words: | Submitted: Thu Oct 30 2003
... the obvious. In mathematics, beyond the natural numbers, addition, multiplication and mathematical induction are intuitively clear. By deduction, Descartes describes this as logic that is so obvious it cannot be argued. By deduction we use the absolute to form a relative theory. For example, in the axiom of equality 2+2=4 and 3+1=4, therefore 2+2=3+1. This example can be tested to the maximum, but will still remain true. However, the conclusion has been deduced from the premise making it much more uncertain than intuition. In addition, deduction we know is something man cannot perform wrongly, making it a valid source of reason. In order to make the obvious conclusions, one must intuit that a number must equal itself or that the value of a number is constant. Without these intuitive thoughts, the logic is not as clear. By fully explaining these principles in the rules, Descartes integrates them together to inevitably free ...
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