At one time, many philosophers held that faultless "laws of thought" were somehow inherent, a priori, in the very nature of mind. This belief was twice shaken in the past century; first when Russell and his successors showed how the logic men employ can be defective, and later when Freud and Piaget started to reveal the tortuous ways in which our minds actually develop.
This means that no single logic is strong enough to support the total construction of human knowledge.
Logic and mathematics are nothing but specialised linguistic structures.
If logic itself is created rather than being inborn, it follows that the first task of education is to form reasoning.
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