Mathematics, I soon discovered, can be really excitingespecially if you go beyond the realm of pure arithmetic. In physics, the truly surprising content emerges around high school.
Many pupils fail to develop a real passion for the subject. Yet mathematics offers all sorts of surprises, such as the Banach-Tarski paradox, which states that you can double a sphere almost magically.
What really blew me away was discovering how deeply mathematics is interwoven with the strangest physical phenomena. The systems always follow the strict rules of mathematics.
Determining where mathematics ends and science begins is as difficult, and as pointless, as mapping the edge of a morning mist.
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