Deductive reasoning is the process of starting with one or more statements called premises and investigating what conclusions necessarily follow from these premises.Deduction is taught through the study of formal logic, or the science of good reasoning.The standardized language of syllogisms allows a reduction of everyday language into verbal equations.Syllogisms allow logicians to determine what is being said, to identify hidden premises, and to find out if the argument makes sense.
TfY Chapter 12
Exercise p.348- Deductive Reasoning: How Do I Reason from premises?
Definition:Deduction: an amount or percentage deducted; something that is inferred deduced or entailed or implied; reasoning from the general to the particular (or from cause to effect); subtraction: the act of subtracting (removing a part from the whole); discount: the act of reducing the selling price of merchandise.
Deductive logic: Deductive reasoning is the kind of reasoning in which the conclusion is necessitated by, or reached from, previously known facts (the premises). If the premises are true, the conclusion must be true. This is distinguished from abductive and inductive reasoning, where the premises may predict a high probability of the conclusion, but do not ensure that the conclusion is true.
Reasoning: is the mental (cognitive) process of looking for reasons to support beliefs, conclusions, actions or feelings.
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