Freeman Dyson, writes in the introduction to Yuri Manin’s book, Mathematics as Metaphor.

Mathematics as Metaphor […] means that the deepest
concepts in mathematics are those which link one world of ideas with another. In the
seventeenth century, Descartes linked the disparate worlds of algebra and geometry
with his concept of coordinates, and Newton linked the worlds of geometry and
dynamics with his concept of fluxions, nowadays called calculus. In the nineteenth
century, Boole linked the worlds of logic and algebra with his concept of symbolic
logic, and Riemann linked the worlds of geometry and analysis with his concept
of Riemann surfaces. Coordinates, fluxions, symbolic logic and Riemann surfaces
are all metaphors, extending the meanings of words from familiar to unfamiliar
contexts. Manin sees the future of mathematics as an exploration of metaphors
that are already visible but not yet understood. The deepest such metaphor is the
similarity in structure of ideas between number theory and physics. In both fields
he sees tantalizing glimpses of parallel concepts, symmetries linking the continuous
with the discrete. He looks forward to a unification which he calls the quantization
of mathematics.

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