The approach to knowledge where knowledge is acquired through the application of formal rules of reasoning is known as:

The approach to knowledge where knowledge is acquired through the application of formal rules of reasoning is known as 'syllogism'.

Explanation:

The syllogism approach to learning demands the prevalence of events or incidents available for discussion that have two or more possible outcomes. It is through arguments and discussions that the most probable conclusion of the event is drawn and learning eventually happens through the process of syllogism. In the discipline of research and development, the syllogism approach is widely used to learn new things and derive meaningful conclusions.

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