Cook's original 1971 formalization treats SAT's hardness relative to NP-completeness, not relative to truth table enumeration, making the chosen baseline philosophically unmotivated.

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Cook(in computer science history): Stephen Cook is a computer scientist who developed 'Cook reduction' (also called polynomial-time reduction), another method for comparing how hard computational problems are to solve.
NP-completeness(as used in computational complexity theory): A classification in computer science for problems that are extremely difficult to solve quickly, even though verifying a correct answer is easy. Think of it like a jigsaw puzzle: hard to assemble, but easy to check if someone else did it right.
Philosophically unmotivated(as used in philosophical argumentation): A position or belief that lacks good philosophical reasons or justification for holding it.
Truth table enumeration(as an alternative way to measure problem difficulty): A brute-force method of solving a logic problem by listing out and checking every possible combination of true/false values until you find one that works.

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