How important is a thorough investigation in making proofs?
please paki sagot
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How important is a thorough investigation in making proofs?
please paki sagot
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IMPORTANCE OF THROUGH INVESTIGATION IN MAKING PROOFS
All mathematicians in the study considered proofs valuable for students because they offer students new methods, important concepts, and exercises in logical reasoning needed in problem-solving. The study shows that some mathematicians consider proving and problem solving almost the same kind of activities.
For a mathematician, proof serves to convince or justify that a certain statement is true. But it also helps to increase the understanding of the result and the related concepts. That is why proof also has the role of explanation.
Proofs are what makes mathematics different from all other sciences because once we have proven something we are absolutely certain that it is and will always be true. Proofs are not just a theory that fits our observations and may be replaced by a better theory in the future.
How important is a thorough investigation in making proofs?
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