Meaning: The quote "I had not yet gotten into the world of light. But I felt as one who, standing outside, could knock against the wall and hear an answering knock from within" by Simon Newcomb captures the sense of curiosity, longing, and anticipation that often accompanies the pursuit of knowledge and understanding in the realm of mathematics and science. Simon Newcomb, a prominent mathematician, astronomer, and statistician of the 19th century, is known for his significant contributions to celestial mechanics and the development of mathematical tools for navigation.

In this quote, Newcomb uses the metaphor of "the world of light" to symbolize a realm of knowledge, understanding, and enlightenment that he has not yet fully entered. This can be interpreted as a representation of the vast expanse of knowledge and discovery that exists beyond the current boundaries of human understanding. Despite not yet fully accessing this "world of light," Newcomb expresses a profound sense of connection and potential through the imagery of "knocking against the wall and hearing an answering knock from within." This imagery suggests a belief in the existence of hidden truths and insights that can be sensed from the outside, even if they have not yet been fully revealed or understood.

Newcomb's words convey a sense of wonder and curiosity, as well as an acknowledgment of the limitations of current knowledge and perception. The metaphorical "wall" represents the boundary between what is known and unknown, and Newcomb's ability to "hear an answering knock from within" suggests an intuitive awareness of the presence of deeper truths and principles waiting to be discovered.

As a mathematician, Newcomb's quote can be interpreted as a reflection of the ongoing quest for understanding and discovery within the realm of mathematical inquiry. The pursuit of mathematical knowledge often involves grappling with complex concepts and navigating uncharted intellectual territory. Newcomb's words convey a sense of perseverance and determination in the face of such challenges, as well as a recognition of the potential for breakthroughs and revelations that lie beyond the current boundaries of knowledge.

In a broader sense, Newcomb's quote can also be applied to the pursuit of knowledge and understanding in any field. It speaks to the universal human experience of grappling with the unknown, seeking insight, and striving to unlock the secrets of the world around us. The metaphor of "the world of light" can be seen as a representation of the vast expanse of human knowledge and the enduring human desire to explore, understand, and make sense of the mysteries of the universe.

Simon Newcomb's quote continues to resonate with thinkers, scholars, and anyone engaged in the pursuit of knowledge and understanding. It serves as a reminder of the boundless potential for discovery and insight that exists beyond the current limits of human understanding, and the importance of maintaining a sense of curiosity and wonder in the face of the unknown.