The challenge was simple, it was to find the rule that the sequence follows. But it proved hard for many to get to that specific rule because of another pre-made rule that they had put together in their minds. The fact that they have made this rule and based it as foundation to make their guesses was the sole reason that they were blinded to the many other possibilities. When there is a foundation build based on a basic reason the guesses made always ensure that the foundation stays true because if the foundation is weary then to build further reason seems difficult. Figuring out and using the clues to put together basic essentials of the puzzle to build a foundation of assumption to then work upon it to solve the puzzle is a key element. The loophole is when the foundation that is build on assumptions is wrong, the theories made based on such assumptions also are wrong and play dead in the sight of the answer.
There are perhaps two ways of acquiring information inductive reasoning and deductive reasoning both clearly and explicitly described in the video. Both inductive and deductive reasoning are key essential parts of reasoning to figure out puzzles. In the puzzle such as sudoku or the paper puzzle a great deal of inductive reasoning was used in order to figure out the nitty gritties of the puzzle and using the key information in our favour way a way of solving the puzzle. However in the "crazy captain" puzzle a great deal of deductive reasoning was used in order to identify the items and to figure out a rule and to propose items that fit the rule. A great deal if deductive reasoning was used to find out the similarities between the items and the chronological order the items followed. Therefore both inductive and deductive reasoning play a vital key role in solving puzzles that are relatively hard.
When solving a puzzle the brain is assessing more than the question itself and perhaps going to the deeper bits of the question and this is generally played upon by the classic brain teasers that use the general presets and assumptions to tease the brain. It works well as given a riddle the mind is looking deep within and not assessing the answer on the surface. When solving the "crazy captain" puzzle much of the intuition went it understanding and drawing patterns for the items that we were allowed to take aboard on the ship but then again the trick was in the question and not in the items. However this is not necessary for all puzzles, our puzzle happened to be this way but then the general prefix of puzzles cause people to complicate things more that it is needed causing them to befall traps never made but set out by themselves. Simple logical use of reason can defiantly bring about a sense of constant understanding and logical thinking that can intern solve the problem, without all that hassles and the complications on the road, but it is when such simple logical reasoning is backed up with prefixes and assumptions that cause loops in the theory.
Perhaps a bit too many videos for a blog, but this TED talk talks about reason being a way of understanding a being more civilised and humane people. In the past man as seen to have some cruel tortures methods, that have brought about a great deal of human pain and suffering such as slavery but it is human reasoning that brought about a way of us realising that these practises are indeed immoral, unfair and moreover inhumane. We have come to be more civilised people and have come about to make a better world not only for us but for the coming generation and the one that follows. We have abolished the inhumanity in our system but still have long way to walk to bring about a better world. The TED talk compared human emotions with human reasoning and sought to seek out which one had a more prominent effect on the past. Clearly reason has seem to win the battle but a great deal of pathos was involved in bringing about the right ideals in out government system.
Overall puzzles such as sudoku are really a great test of human reasoning and are essential aspects required to bring about a sense of rational reasoning. All though hard or easy they set out to test a great part of human rationality and reason which is perhaps the best part of the puzzles.
Slightly on a tangent the brain use two structures of information to understand the world around is. In the video above which seemed really interesting the idea behind the bi-logical thought processes are identified in the brain. The use of different brain structures causes slight draw backs in the way the brain perceives the surroundings and it causes slight draw back in our sense of recognition and understanding. The brain however puts the information it receives in context of the surroundings and always looks to produces a more efficient representation of the surroundings in comparison to a accurate representation which explains why the human brain is prone to the many different illusions. The brains is nonetheless a magnificent organ that brings about a sense of understanding and reason and brings about a efficient comprehension of the world around us.