What is the term for a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to a traditional ´human´ way of reasoning?
Question
What is the term for a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to a traditional ´human´ way of reasoning?
Solution
The term for a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to a traditional 'human' way of reasoning is called "Natural Deduction". This method was introduced by the logician Gerhard Gentzen in the mid-1930s. Natural deduction contrasts with axiomatic systems, which are based on a set of axioms. Instead, natural deduction mimics the way humans actually think about logic, by using a set of inference rules which can be used to prove a statement.
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