“A hole can itself have as much shape-meaning as a solid mass”*…
Holes. Caity Weaver wonders about them: What is a hole? A hole is a portion of something where something is not. Beyond that, holes are slippery. (As a concept — only some in reality.) Is a hole...
View Article“Life is a Zen koan, that is, an unsolvable riddle. But the contemplation of...
How hard is it to prove that problems are hard to solve? Meta-complexity theorists have been asking questions like this for decades. And as Ben Brubaker explains, a string of recent results has...
View Article“To understand anything, you just need to understand the little bits”*…
Oscar Schwartz begs to differ. Here, excerpts from his provocative critique of TED Talks… Bill Gates wheels a hefty metal barrel out onto a stage. He carefully places it down and then faces the...
View Article“A proof tells us where to concentrate our doubts”*…
Andrew Granville at work Number theorist Andrew Granville on what mathematics really is, on why objectivity is never quite within reach, and on the role that AI might play… … What is a mathematical...
View Article“Everything we care about lies somewhere in the middle, where pattern and...
6,144 colors in random order. (source: By grotos on Flickr; via O’Reilly Radar) … A French mathematician has just won the Abel Prize for his decades of work developing a set of tools now widely used...
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