Hugh Woodin: Simplicity and the quest for ultimate (mathematical) truth

Simplicity: Ideals of Practice in Mathematics & the Arts
Graduate Center, City University of New York, April 3-5, 2013
s-i-m-p-l-i-c-i-t-y.org

[@shadali9045]

Craaazy

[@annaclarafenyo8185]

There is nothing unacceptable about the collapse of the properties of the cumulative heirarchy into V_{\omega+2}, it's not even surprising! This is just the observation that the real numbers are big enough to model everything you could ever imagine. This means any large cardinal principle should admit a reflection into properties of reals and sets of reals only using set theoretic principles. More should be true, in that the large cardinal properties should have 'echoes' all the way down to the computable ordinals, but this requires a much more computational construction of set theoretic universes than is possible with current tools.

[@nuclearwaste31415]

can you explain this as if I'm an undergrad who just knows the basics of set theory?

[@vitakyo982]

How to make simplicity very complicated ...