For the bowl model, one must imagine that the base of the cone is “maxed-out.” The number of resulting problems exceeds the system’s capacity (the points or lines in the circle hypothetically exceed the infinite) and the circle forms a “bowl.” The problem is now at the base of the diagram and becomes inaccessible by virtue of new difficulties. These unforeseen and unwelcome guests obfuscate the initial intent. The problem is no longer solvable since the subset of problems has overwhelmed the allowable limits.
The initial objective is no longer viable, and comparatively no longer very important! The quaint verbal illustration about swamps and alligators presents this idea eloquently: “It is hard to recall that the initial objective was to drain the swamp water when you are waist-deep in alligators.” No matter how serious the problems associated with the initial task—draining the swamp—the new danger—alligators—is more pressing.
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