"Mathematics is the gateway and key of all the Sciences". This statement is given by whom?

Question

Accepted Answer

The statement "Mathematics is the gateway and key of all the Sciences" is attributed to Roger Bacon, making Option 4 the correct answer. Roger Bacon was a 13th-century English philosopher and Franciscan friar who placed a strong emphasis on the study of nature through empirical methods. He is often credited with advocating the use of mathematics as a fundamental tool in scientific inquiry. Bacon believed that mathematics was essential for understanding and advancing in various scientific disciplines, as it provides a precise language and framework for formulating and testing scientific theories.

1. **Explanation for Option 4 (Roger Bacon):**
   - Roger Bacon is known for his works that emphasize the importance of mathematics in scientific studies. He argued that mathematics is crucial for understanding the natural world and is foundational to the sciences. His advocacy for the empirical method and the use of mathematics in scientific exploration aligns with the statement in question, thus justifying why he is credited with this view.

2. **Explanation for why other options are incorrect:**

- **Option 1 (Dutton):** Dutton is not historically recognized for making significant contributions to the philosophy of science or mathematics in the way Roger Bacon is. There is no widely acknowledged record of Dutton making the statement in question.

- **Option 2 (Napoleon):** While Napoleon Bonaparte had an interest in mathematics and even established educational reforms that included mathematical studies, he is not known for making this specific statement. His contributions to mathematics were more practical and administrative rather than philosophical.

- **Option 3 (Hogben):** Lancelot Hogben was a 20th-century scientist and author known for his work in biology and his efforts to make science accessible to the general public. Although he wrote about the importance of mathematics in science, he is not credited with the specific statement in question.

In conclusion, Roger Bacon's historical emphasis on the role of mathematics as a foundational element in scientific inquiry supports the attribution of the statement to him, making Option 4 the correct answer.