In what sort of reasoning does one move from general ideas to their specific implications?

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Moving from general ideas (hypotheses or theories) to their specific implications is the process of deductive reasoning. This type of reasoning starts with a given set of premises (general ideas or theories) and derives more specific conclusions from them. Hypothetical-deductive reasoning is a type of deductive reasoning that starts from a hypothesis (general idea) and derives specific predictions or implications that can be tested empirically.

In What Sort of Reasoning Does One Move from General