It's true that government uses the word "debt" but the meaning for "government" in the abstract, is not at all the same as the meaning of that word to you in the private sector. Imagine you had a money machine in your basement and any time you needed money you could get it, as much as you needed. This is somewhat the situation for the government, not exactly though. You could in fact crank out all the money you wanted to satisfy your own needs and not affect the purchasing power of the money you cranked out one bit, so you wouldn't need any way to take back some of the money you spent. That's not true for the government however. The government needs a way to take back some money when it has spent so much that each unit won't buy enough. The government has the ability to do that, and it uses it when necessary. What you call government debt is the same as the net, cumulative deficit.
When the real GDP grows and the population increases, deficits are absolutely necessary to prevent deflation and a recession. Deficits are also needed for long term investments in such things as education and infrastructure. And moreover, these essential deficits must never be "paid back." They can't be, and it would be ridiculous to try to do that. If we did that, we'd cause a depression in the country the likes of which have never been seen.
Instead of worrying about government "debt," you should be concerned about the quality of leadership at our Treasury and Central Bank and in the White House. Right now it's pretty good, It was terrible at the top these past four years and we were all in danger because of it. Now things are looking up and we are going to have, next year, an economic boom like we haven't experienced since the golden days following WW II. Get ready, "Happy Days are Here Again!"
I should mention something of debt servicing, since several here have brought this up. I think this is a valid concern, or at least a potential long term concern. It is something I have been thinking about lately. Debt servicing of Treasuries is non-discretionary spending, like entitlements, and there is a risk, it would seem, that eventually, if debt servicing is allowed to grow to the point that it becomes a significant portion of overall spending, that it could begin to crowd out discretionary spending. Because there are practical constraints on the rate at which government can increase the amount of outside money it spends into the economy. Also, the total amount of money the government can issue and spend into the economy is tied to productivity which provides the ultimate constraint on most everything. We are in the habit of issuing "debt" tied to deficits (usually issued long after the deficits are booked). This gives the outward appearance at least of the government "borrowing" money. But don't be fooled by this appearance.