Increasing public spending when private spending goes down in a recession is kind of what Keynesian economics is all about. Higher taxes may be necessary in the future, but the idea is that private spending returns faster than it would otherwise, thereby increasing government revenue. Cutting public spending would reduce private incomes, which would exacerbate the recession and lower government revenue even further.

If the idea was to start a discussion about whether the Keynesian response to recessions is a good idea, I don't think that's going to be worthwhile unless there are some economics Ph.D.s around. It's an interesting topic, but something about the internet makes people overly confident in their uninformed opinions.

Google "paradox of thrift."