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How many knots exist?

The number of knots that exist depends on how you define a "knot". In the field of mathematics, knots are studied as mathematical objects, and there are infinitely many different types of knots. These include simple knots, such as the trefoil knot and the figure-eight knot, as well as more complex knots, such as the granny knot and the bowline knot. In the field of physics, knots are also studied, and there are a number of different types of knots that can occur in physical systems, such as knots in ropes, knots in DNA, and knots in magnetic fields. In addition, there are also a number of different types of knots that are used in everyday life, such as knots in shoelaces, knots in hair, and knots in fishing line. Therefore, the number of knots that exist is vast and depends on the specific context in which you are considering knots.

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