Posts tagged with john baez

John Baez:

"There must be hundreds of mathematicians roaming the earth thinking operads are difficult and abstruse, because they’ve seen the definition without any pictures.

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These people should be grateful they weren’t taught how to tie their shoes in an equally wrong-headed manner.”

What is an operad?

Why should someone interested in homotopy care about operads?

  • the main way to probe a space is by looking at the maps from circle, sphere, 3-sphere, 4-sphere, onto it.
  • "Most homotopy theorists would gladly sell their souls for the ability to compute the homotopy groups of an arbitrary space”
  • Operads organise the information of the restricted higher homotopies.

(Source: math.ucr.edu)




John Baez and James Dolan, From Finite Sets to Feynman Diagrams

  • an explosion of ideas
  • equality x=x is boring
  • why is 6÷2=3 ?

(Source: arxiv.org)










All right, Φ is straight-up crazy.

  • Φ² = Φ + 1
  •  ⅟Φ = Φ − 1

recursive definition of ¦