The problem with this is that the resources expended hastily in this manner can not be reclaimed in the future for better uses. The unseen effect of present spending is the loss of better future opportunities. Frédéric Bastiat illustrated this point with the broken window fallacy in his essay What is Seen and What is Not Seen. Nonetheless, paying some people to dig holes while others fill them will raise aggregate demand and satiate the short-sighted goals of Keynesian theory.
The St. Louis area has 18 million square feet of empty warehouse space. You can think of a warehouse as an above ground hole.
The Missouri legislature and Governor Jay Nixon are considering a special session for a St. Louis "Aerotropolis" and part of that legislation involves a $300 million earmark for the construction of more warehouse space. With 18 million square feet available, it's absurd to suggest that supply is constrained, so the purpose of these new holes must be a Keynesian boost to aggregate demand.
The irony is that many warehouses in north St. Louis city have been torn down over the past several years. Often eminent domain has been granted by the city and property developers have been given tax incentives to demolish these "blighted" buildings.
Demolishing a warehouse is the above ground equivalent of filling in a hole. Thus we see the completion of Keynes's value destroying, live-for-the-moment theory: tax dollars subsidize the demolition of warehouses as well as their construction and better uses for those tax dollars go unrealized and unseen.