"This is not only possible but also it is necessary to apply Mathematics on Psychology." This statement is given by :

Question

Accepted Answer

The statement "This is not only possible but also it is necessary to apply Mathematics on Psychology" is attributed to Herbert, as indicated by the correct answer, Option 2. Here is a detailed explanation supporting this choice:

1. **Justification for Option 2 (Herbert):**
   - Herbert is known for his contributions to the integration of quantitative methods in social sciences, including psychology. His work emphasized the importance of applying mathematical models to understand psychological phenomena, which aligns with the statement in question. By advocating for the use of mathematics in psychology, Herbert highlighted the necessity of a structured and analytical approach to studying human behavior and mental processes. This perspective is crucial for developing theories that can be empirically tested and validated, thereby advancing the field of psychology.

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

- **Option 1 (Marshal):** Marshal is not typically associated with the application of mathematics to psychology. His contributions are more aligned with economics and the development of economic theories. Therefore, attributing the statement to Marshal would not be accurate, as his work does not focus on the intersection of mathematics and psychology.

- **Option 3 (Kilpatrik):** Kilpatrik is known for his work in education, particularly in the field of project-based learning. His focus was on educational methods rather than the application of mathematics to psychology. Thus, it would be incorrect to associate the statement with Kilpatrik, as his contributions do not align with the integration of mathematics in psychological studies.

- **Option 4 (Ballard):** Ballard's work primarily revolves around educational psychology and pedagogy. While he contributed to understanding psychological principles in education, he is not recognized for advocating the application of mathematics to psychology. Therefore, attributing the statement to Ballard would not be appropriate.

In conclusion, the correct answer is Option 2, Herbert, as he is the figure most closely associated with the idea of applying mathematical principles to the study of psychology. This integration is essential for developing a more rigorous and scientific approach to understanding psychological phenomena.