Will Mathematics Ultimately Describe Nature?

Will Climate Change Mathematics ( ? )

: Mathematics in Nature

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What will count as mathematics in 2100?

s—patterns either from the world or from a mental discipline (including mathematics itself) and studies them. What makes such a study mathematics, as opposed to some other discipline, is the high degree of abstraction of both the patterns and the way they are studied. Mathematical patterns are the structural skeletons that lie beneath the world. Such is their abstraction that the only tool avai...

The Nature of Contemporary Core Mathematics

The goal of this essay is a description of modern mathematical practice, with emphasis on differences between this and practices in the nineteenth century. I explain how and why these differences greatly increased the effectiveness of mathematical methods and enabled sweeping developments in the twentieth century. A particular concern is the significance for mathematics education: elementary ed...

Deep Questions on the Nature of Mathematics

“Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality?” (p. 1). This is a question that has been asked many times and in manifold ways. This particular formulation is by John Polkinghorne, the editor of the volu...