The brain is an apparatus with which we think that we think. For a hundred years, those people with the best feel for the game and their opponents were the dominant players. After all, poker is a game of people. After all, poker is all about getting the best of it over the long run. Clearly these two ways of making a decision have similarities, but they are also very different, especially when applied to poker.
Many intuitive players are openly hostile to viewing situations as mathematical equations.
They just know what the right thing to do is. In effect, they can read their opponent's minds. If you know your opponent's cards, it seldom will be necessary to spend much time analyzing. The job is done. And then many mathematical players who can calculate the correct action are openly hostile to the idea that a player can just know what to do when the correct action is often truly complicated to figure out.