Each time the printer does a head clean, the ink consumed has to go somewhere. There are largish absorbent pads at the base of the printer that hold this ink. Sooner or later they fill will up. The printer keeps a rough track of how much ink should have gone down the waste tubes into these pads, and there's an algorithm that determines when the pads are full. Once this happens, the printer gives the message that you now see, and stops working. My experience is that it doesn't just do this suddenly - there should have been a warning or two.
You have two options to keep using this printer. One would be to take it to an Epson service centre, have them replace the pads and reset the waste ink counter. That is almost never economic for a desktop printer, and especially for the 1430. A new one would be much cheaper, or at the very least, least close to the same price.
The other option is to download a program called the WICReset utility from 2manuals.com. This program will allow you to reset the waste ink counter yourself. You need to buy a key for each reset, but I think it's only around $10 for one. There's still the question of the full pads. Someone who is handy and has the service manual could replace them themselves, but I don't recall ever hearing of someone who actually did that. What most people do is buy and fit a waste ink bottle. You still need to be a little bit handy to do this, but only a little. The bottle sits next to the printer and a length of tubing connects the printer's waste ink lines to the bottle, so that the waste ink from each head clean is collected in the bottle. Periodically you can empty the waste ink tank. You may end up being horrified by how much ink is accumulated in the bottle.
The tanks are inexpensive. IJM sell them, as do most suppliers of alternative inks. http://shopping.netsuite.com/s.nl/c.362672/it.A/id.7858/.f I have a preference for a more expensive model from a non-US supplier.