Skip to content →

The Continuum Hypothesis

I went to the World Science Festival to hear several talks about Time, psychological and physical. This led me to a question:

If the time axis in classical physics is of cardinality Aleph 1, that of the continuum, which is noncountably infinite. then what is the cardinality of the number of memories you can have? Are they countable or uncountable?

It feels like for any given memory, you can always go “one decimal place further” or one level more granular in the details of the memory, and therefore there is no way to order them, and so they must be uncountably infinite.

But maybe this is an illusion and if I try it I will hit rock bottom in granularity, even though associations will keep coming.

Published in blog