Reason is not the end-all-catch-all of the human mind. Thank God for that, or the world would be a boring place.
Oww you nitpicker. Compare it to most other creationist stories, and the knowledge at that time. It's still pretty close.
However, there's another way to read it:
He created Matter.
Then he created Light.
Then he created the "firmament", or the cosmos, splitting the universe in two: the physical one and the beyond.
The waters under the firmament gather: Water on earth is probably from comets.
Then he creates plants, and after that the sun and stars which I admit is total bull. Unless we find evidence of primal life-forms in the universe that's older than the oldest stars, but that's kinda far-fetched
Then he first creates life in the water (!!), and the birds. Birds is weird, but they are descendent from the dinosaurs, and older than the mammals.
Then come the beasts, and then comes the cattle (again, in itself true).
Then comes man (after cattle? questionable, but okay, there were wild cows before man).
And then he goes to rest for a day.
If you take "days" to the amount of time that the universe took to form according to science, he's still resting now