On the basis of what was rationalism developed in Western European philosophy? a) analogies; b) induction; c) deductions; d) analysis; e) mathemat ical analysis.

The correct answer is c) deductions.<br /><br />Rationalism in Western European philosophy was developed on the basis of deductions. Rationalism emphasizes the role of reason and deduction in the pursuit of knowledge. Rationalists believe that certain truths can be known a priori, through the process of deductive reasoning, without relying on sensory experience. They argue that the mind has innate ideas or principles that can be used to derive further knowledge logically. Deduction, as a method of reasoning from general principles to specific conclusions, is central to rationalist philosophy.