I think these days we have to limit ourselves to define an interface between our work and some external system - I mean that in a very general way, e.g. the system could be a piece of math or science, not necessarily a computer API. I generally try to understand the principles behind things to the extent that I can, but there is just too much stuff out there, so I believe it's simply necessary nowadays to make a decision about how important it is know a given tool or concept in more depth...
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I think these days we have to limit ourselves to define an interface between our work and some external system - I mean that in a very general way, e.g. the system could be a piece of math or science, not necessarily a computer API. I generally try to understand the principles behind things to the extent that I can, but there is just too much stuff out there, so I believe it's simply necessary nowadays to make a decision about how important it is know a given tool or concept in more depth...