"Don't tow until you know." Trev29 made a poem!

If the terminals are corroded but the car still won't start without a jump after cleaning the battery terminals, remember that the same corrosion that prevented the electricity from getting OUT this morning was keeping it from getting IN yesterday while you were driving. What I'm saying is - if the terminals are corroded, it is reasonable to expect that the battery has not been charging well for some time, and you will need to jumpstart it and drive it around for 20-30 minutes with clean terminals to charge it up.

If you have no way to verify that it is charging, don't take it too far from home while you drive it around. A battery that is too weak to turn the starter will still support the ignition for quite a while before the car stalls for lack of spark. You might just want to put a toothpick in the throttle to kick the idle up to about 2000 RPM and leave it running at fast idle while you drink a cup of coffee. After 10 minutes or so, you can shut it off and try to restart it. If it starts, it was charging and you can go drive it until it is fully charged.

The bad news is that being completely discharged is really hard on maintenace-free batteries. If your battery is 6+ years old, being discharged due to corroded terminals may be all it takes to 'punch its ticket'. You may get back on the road today and still find that you need a new battery soon.