But at what level of abstraction? The brain is a computer (a pulse-coded switched digital network) and the neurons are the logic gates, so when you get down to that level of detail, dealing with computation is unavoidable.
When you're looking at a broader picture, you can use black-box models for the various brain functions, and it works perfectly well. But when you drill down from the black-box models, or build up from the molecular level, in the middle it's a computer. (An odd, squishy, unreliable computer, but still...)
There are worse fates in life.