Time is mysterious both from a philosophical but also from a physical point of view. 

Some links:


The biological process to form shape is one of the most challenging ones for mathematicians.

Spin glasses

Two very impressive non-rigorous methods to work with spin glasses exist:
-Cavity method
-Replica method
Some link:

laplace demon

A very fruitful thought experiment on the boundaries between philosophy, physics and mathematics in essence about the possible predictability of the future by knowing all about the present.
Some link:

church turing thesis

A hypothesis which states the equivalence between computable functions from Turing machines and computable functions from humans following algorithms and ignring resource limitations.



One of the biggest mysteries, from a scientific as well as from a philosophical viewpoint.

I had the pleasure to follow an amazing course by Matthew Cook on Models of computations, check out his webpage for more:
Matthew Cook:

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