There's a story which may or may not be apropos.
You may have heard a version of the story problem about the fly flying back and forth between two trains heading for a collision? The solution is to add the combined speeds and determine how long before the trains meet, then figure out how far the fly can fly in that time. Supposedly (I hardly believe it) some mysterious "they" polled two groups, logicians and mathematicians, and found that the logicians, using the method I described, solved the problem in about fifteen seconds on average, while the mathematicians tried to solve it with calculus, adding up the individual segments the fly flew, which took them a couple of minutes.
Then they gave the problem to Karl Friedrich Gauss, who qualifies as among the "best of the best" mathematicians, and he solved it in 8 seconds. "This is surprising," they told him, "that you are a mathematician, yet you used logic rather than calculus to solve the problem.
"But I did use calculus," he replied.
Best,
Jake