True story: One Friday night, during dinner, some random Jewish guy showed up at the Hillel of an Ivy-League college located in a "sketchy neighborhood". His car had broken down maybe ten blocks from the edge of campus and his wife and infant were planning to spend all of Shabbat in the car (in the sketchy neighborhood), and asked whether the students could form a human chain to get some food to the car(!)
This is of course an extreme example of how people lose their common sense, but the prohibition against carrying children where there is no Eruv makes Shabbat unbearable for some people. This podcast discusses the opinion of R. Aharon Leib Margaliyot in Peri Tevuah, who says that it is permitted and that not carrying borders on hypocrisy.
We also discuss the interesting evolution of watches, from muktzeh to a necessity.