The Importance of Logical Conclusions in Mathematics | An Exploration of Reasoning and Proof

A statement that you conclude to be true based on logical reasoning is a(n) ___.

A statement that you conclude to be true based on logical reasoning is called a logical conclusion

A statement that you conclude to be true based on logical reasoning is called a logical conclusion.

Logical conclusions are derived from logical reasoning processes such as deduction, induction, or inference. They are based on premises or evidence that support the conclusion and are arrived at using rational thinking.

Logical reasoning involves using systematic and sequential steps to analyze information, evaluate arguments, and make logical conclusions. It is a fundamental aspect of mathematics as well as other fields of study.

When it comes to math, logical reasoning is employed to solve problems and prove mathematical theorems. By applying logical processes and making logical conclusions, mathematicians are able to demonstrate the truth or validity of mathematical statements.

For example, if we have the two premises: “All mammals are warm-blooded animals” and “Humans are mammals,” we can logically conclude that “Humans are warm-blooded animals.” This conclusion is drawn using the logical reasoning process of deduction, where we derive a specific statement from more general statements.

Overall, logical conclusions are important in mathematics as they allow us to make valid and reliable assertions based on logical reasoning and evidence. They help us analyze, solve problems, and provide mathematical proof.

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