His point was that the financial arithmetic isn't prohibitive. A box full of stuff costs the same amount whether you give out 5 million or 300 million (in fact, economics of scale says that the US could probably do it cheaper than Finland can). We have 300 million people (or whatever the birthrate is) which is certainly more than Finland has, but we also then have 300 million taxpayers.
Sure, the absolute cost is higher, but the cost per capita is not.