I would consider evolution a form of intelligence, even though I wouldn't consider nature a being.
There's a branch of AI research I was briefly working in 15 years ago, based on that premise: Genetic algorithms/programming.
So I'd argue humans were (and are continuously being) designed, in a way.
(non-sarcastically from me this time)
Sure, I would agree with that wording.
In the same way, neural networks which are trained to do a task could be said to be "designed" to do something.
In my view, there's a big difference in what the training data is for a neural network, and what the neural network is "designed" for.
We can train a network using word completion examples, with the intent of designing it for intelligence.
Yup. To counter my own points a bit:
I could also argue that the word "design" has a connotation strictly opposing emergent behaviour like evolution, as in the intelligent design "theory". So not the best word to use perhaps.
And in your example, just because we made a system that exhibits emergent behaviour to some degree, we can't assume it can "design" intelligence the way evolution did, on a much, much shorter timeline, no less.