They were really on to something here. At the time this was proposed they were worried about the return of an ice age but it works for warm climates too:
"Why, then, have we never adopted the most perfect form of insulated house known to science—the vacuum bottle? Not that the house would necessarily look like a vacuum jug; it would simply make use of the insulation principles which keep liquids in such a container hot or cold for hours."
They figured out the engineering:
It is obvious that we must be careful in the design and construction of our vacuum bottle houses if they are to withstand an atmospheric pressure that will amount to over ten pounds per square inch (this is for a partial and not a complete vacuum). No merely double concrete wall will withstand this.
Consequently the wall must be made cellular; that is, honey-combed with tiny chambers inter-connected so that air will pass freely from one to the other. A good idea of this construction will be gained from the drawing. By the use of this sort of construction, great pressure may be safely withstood and there would be no danger of a house falling victim to the relentless atmosphere.