There is much to be said for looking at the super-specific. All the interesting complexity is found in the specific cases, while the whole often has less complexity (i.e. the algorithmic complexity of a list of the integers is much smaller than the algorithmic complexity of most large integers). While we might be trying to find good compressed descriptions of the whole, if we do not see how specific cases can be compressed and how they relate to each other we do not have much of a starting point, given that the whole usually overwhelms our limited working memories.
Staring at walls is underrated. But I tend to get distracted from my main project by all the interesting details in the walls.
There is much to be said for looking at the super-specific. All the interesting complexity is found in the specific cases, while the whole often has less complexity (i.e. the algorithmic complexity of a list of the integers is much smaller than the algorithmic complexity of most large integers). While we might be trying to find good compressed descriptions of the whole, if we do not see how specific cases can be compressed and how they relate to each other we do not have much of a starting point, given that the whole usually overwhelms our limited working memories.
Staring at walls is underrated. But I tend to get distracted from my main project by all the interesting details in the walls.