Well the way the cognitive sciences are proceeding, I dont consider them to be engineering
Who has claimed that cognitive science is a form of engineering? Oh, yes, you (making an inference)! What do you mean by the plural "... sciences"?
the problem is that instead of working on the philosophies of real intelligence, the cognitive sciences tend to formulate everything in some absurd equations and stuff like that.
Where is the evidence to support your claim? Is this from your experience - "stuff like that"?
For example, taking the example of chess, what are the chess machines doing, they are simply beating the human mind by the help of computing (solving some high order equations) skills not on the basis of intelligence.
What original thought! You're way behind the times. I guess this is because you're located in Islamabad? Perhaps you're unacquanted with current research and achievements. For instance, the Lexus vehicle with road vision recognition, so keeping the vehicle in lane - as long as the driver wants to remain in a specific lane. And, with incorporated sensors, facilitates hands-free parking - usesful for females, those that can afford £71,000 for this particular model!
But returning to chess, many would agree that good chess-players are accepted as exhibiting a feature of intelligence: a certain type of problem-solving. Hence, in the 1950's IBM sought to build a machine to play and beat Grandmasters, and succeeded in doing - see '90's Deep Blue II vs Kasparov literature. You may not concede it as an exposition of intelligence but I would argue that it demonstrated an alternative to intelligence - another means in executing a resolution.
Look for AI strides in artificial olfaction (machines able to distinguish between thousands of smells) text-based dialogical query systems utilised in e-commerce (concommitantly increasing sales/profits and reducing call-centre costs), to name two.
and in my view mechatronics engineering is just another cousin of mechanical engineering which I don't think has much to do with artificial intelligence.
Again you are confused; who has claimed mechatronics as AI? You again! Mechatronics is the mechanical engineering aspect to robot building. You should know that since in your earlier post you claim to know "exactly what is mechatronics". Frankly, your opinion on this does not count for much unless you have published/have international peer-reviewed papers, i.e. valid empirically-tested foundation.
hmm, well I wouldn't be able to make it but if you could send me reading material that would be great.