Abstract-Can computers have intuition, insights and be creative? Neurocognitive models inspired by the putative processes in the brain show that these mysterious features are a consequence of information processing in complex networks. Intuition is manifested in categorization based on evaluation of similarity, when decision borders are too complex to be reduced to logical rules. It is also manifested in heuristic reasoning based on partial observations, where network activity selects only those path that may lead to solution, excluding all bad moves. Insight results from reasoning at the higher, non-verbal level of abstraction that comes from involvement of the right hemisphere networks forming large "linguistic receptive fields". Three factors are essential for creativity in invention of novel words: knowledge of word morphology captured in network connections, imagination constrained by this knowledge, and filtering of results that selects most interesting novel words. These principles have been implemented using a simple correlation-based algorithm for autoassociative memory. Results are surprisingly similar to those created by humans.Keywords-Creativity, intuition, insight, brain, language processing, higher cognitive functions, neural modeling.One of the objections against computational intelligence considered by Alan Turing in his famous article "Computing machinery and intelligence" [1] recalls Lady Lovelace's objection (written in her memoirs in 1842) that a machine can "never do anything really new", and in particular the Analytical Engine of Babbage (an early idea for universal computer) "has no pretensions to originate anything. It can do whatever we know how to order it to perform". Turing's response can be summarized as: "the evidence available to Lady Lovelace did not encourage her to believe" that machines could be creative, although "It is quite possible that the machines in question had in a sense got this property" because "suppose that some discrete-state machine has the property. … universal digital computer … could by suitable programming be made to mimic the machine in question". It is difficult to ascertain that something is really new, and Turing admits that "Machines take me by surprise with great frequency".The last section of Turing's article is devoted to learning machines as our best hope to realize computational intelligence and creativity. After proposing (albeit in a very vague terms) "the child machine" in the final paragraph of the paper the author writes: "We may hope that machines will eventually compete with men in all purely intellectual fields. But which are the best ones to start with? Even this is a difficult decision. Many people think that a very abstract activity, like the playing of chess, would be best." This has indeed proved to be true and before the turn of the century -as Turing predicted -computers exceeded human level competence in chess. However, the connection between memory capacity and speed of calculations in chess is quite obvious, therefore the famous B...