What is the difference between problem solving and creativity?
Imagine a labyrinth. In problem solving, you know exactly where you want to get. You will apply rules stored in your memory to navigate through the labyrinth with an effort to reach the predetermined destination. In pure creativity, you do not know what you want to accomplish or where you want to get. You may just stray through the labyrinth in hope of finding something valuable. In real life, problem solving will involve a degree of creativity which is proportional to indeterminacy of the reasoning path (i.e. the degree of your derivation or application of inference rules being non-deterministic). If you have to answer the question: What is the value of 6×7?, you will deterministically retrieve a fact from your memory: 6×7=42. This is a pure recall (or fact-based problem solving). If you have to answer: What is the value of 16×17?, you will deterministically retrieve facts (e.g. 6×7 = 42). Then you will deterministically retrieve simple multiplication and addition rules to conclude th