At the peak of Science is imagination. Science is knowing and observing. Knowing has its limits and as knowledge grows, unknown grows with it. Many scholars, who are at the peak of their sciences, are heard saying, the more you know, the more you don't know.
For example three dimensions is easy to comprehend and understand. but Mathematics talks about and studies, four dimensions, five dimensions and so on. Understanding higher dimensions is possible only with imagination. so imagination is required for the progress of mathematics.
Buys Mathematics and the Imagination
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