Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.

Summary

This quote by Bertrand Russell cleverly highlights the puzzling nature of mathematics. It accentuates the humbling and intriguing aspect of the subject, suggesting that mathematicians constantly grapple with uncertainty and ambiguity. It suggests that although mathematical concepts and statements may be precise and logical, the true nature and reality behind these concepts remain elusive. Essentially, it implies that mathematics is a continuously evolving field where absolute knowledge and certainty are never fully attainable.