The three rational approaches of inquiry were _____.

natural science
philosophy
religion
mathematics

The three rational approaches of inquiry were natural science, philosophy, and mathematics.

The three rational approaches of inquiry are natural science, philosophy, and mathematics.

To determine the three rational approaches of inquiry, we can start by analyzing the given options: natural science, philosophy, religion, and mathematics.

1. Natural science: Natural science refers to the systematic study of the natural world using empirical evidence and scientific methods. It involves disciplines like physics, chemistry, biology, and geology, among others. Natural science aims to explain the laws and processes that govern the physical and natural phenomena in the universe.

2. Philosophy: Philosophy is the study of fundamental questions related to existence, knowledge, values, reason, and ethics. It aims to understand the nature of reality and human existence through philosophical inquiry, critical thinking, and rational argumentation.

3. Mathematics: Mathematics is a field of study that deals with numbers, quantity, structure, and patterns. It involves the use of logical reasoning and symbols to analyze and understand various mathematical concepts, principles, and relationships.

From the given options, the three rational approaches of inquiry are natural science, philosophy, and mathematics. These three domains provide different methodologies and perspectives for exploring and understanding the world around us. Each approach has its unique set of tools, theories, and methodologies that contribute to our understanding of different aspects of reality.