Ramanujan's Potential

Ramanujan, a self-taught mathematical genius from India, made remarkable contributions to the field of mathematics. His extraordinary ability to solve complex mathematical problems without any formal training caught the attention of many mathematicians, including G.H. Hardy. While it is true that Hardy played a significant role in recognizing Ramanujan's talent and providing him with opportunities, it is also possible to argue that Ramanujan may have made it to Cambridge without Hardy's help.

1. Natural Aptitude and Passion for Mathematics
Ramanujan's innate ability and genuine love for mathematics were the driving forces behind his achievements. From a young age, he demonstrated an exceptional talent for numbers and an insatiable curiosity for solving mathematical puzzles. His passion and dedication to the subject would have undoubtedly continued to propel him forward, regardless of external support.

2. Independence and Self-Study
Ramanujan's mathematical prowess was largely self-taught. He independently delved into various mathematical textbooks and journals, absorbing knowledge and discovering new theorems. His incredible ability to grasp complex concepts and derive solutions from first principles showcased his exceptional intellect and determination.

3. Correspondence with Mathematicians
Even before his encounter with Hardy, Ramanujan had already established correspondence with several mathematicians. He exchanged letters and mathematical ideas with individuals such as E.H. Neville, G.N. Watson, and others. This indicates that Ramanujan had the potential to form connections and seek guidance from experts in the field, which could have eventually led him to Cambridge.

4. Recognition by Other Mathematicians
Although Hardy was instrumental in introducing Ramanujan to the mathematical community at Cambridge, it is likely that Ramanujan's remarkable talent would have been recognized by other mathematicians as well. Given his exceptional mathematical achievements and unique approach to problem-solving, it is plausible that someone else would have eventually taken notice and provided him with an opportunity to study at a prestigious institution like Cambridge.

Conclusion
While G.H. Hardy undeniably played a crucial role in shaping Ramanujan's career and facilitating his journey to Cambridge, it is reasonable to believe that Ramanujan's natural aptitude, independent study, connections with other mathematicians, and recognition by the mathematical community would have eventually paved his path to success. Ramanujan's innate talent and unwavering dedication to mathematics were the primary driving forces behind his achievements, making it possible for him to succeed even without Hardy's direct intervention.