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His system has three key elements. These elements are axioms, deductive reasoning, and theorems. The axioms are the systems “starting points or basic assumptions” (Lagemaat). These axioms are considered to be the self-evident truths that provide the foundations for mathematical knowledge, and show that it is based on intuition. The second element of the formal system is deductive reasoning. Deductive reasoning is an important part of this system. It is built from two or more premises that lead us to a conclusion. It is another fundamental law of reason that can only be justified with intuitive knowledge...
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