Nope.Caliostro said:snip
Thorndike (1874-1949), when sticking cats in escapable cages, noticed that the cats were able to escape the cages faster with each try. He determined that actions leading to escape were "satisfying" and were "stamped in", versus actions that were "annoying" and "stamped out". This is called the Law of Effect. This is essentially what you are saying, but uses very different terminology. Further, there's only one dimension to the theory: actions are either "satisfying" and "stamped in" or they're "annoying" and "stamped out".
Skinner (1904-1990) (the pioneer of formal operant conditioning) rejected many of Thorndike's ideas and formulated the ideas of positive/negative reinforcement/punishment, and the terminology hasn't changed since. Further, Skinner's theory has 2 dimensions to it (positive/negative and reinforcement/punishment) giving it twice the descriptive power of Thorndike's (Thorndike can describe two conditions, Skinner four). That extra dimension is where people tend to screw up.
The problem is that when people hear "positive", they think "good" instead of "addition", and when they hear "negative", they think "bad" instead of "remove". Positive reinforcement is something people can understand; it's not difficult at all. Add good to keep behavior going. What could be simpler? The "positive" in this can works as either "add" (as it's supposed to) and "good" (as people think it is).
This understanding of positive reinforcement has led people to believe they understand negative reinforcement as well (add bad to stop behavior). They do not. Most people don't even know about the opposite of reinforcement: punishment. And even when they do, it still takes most people years of classes before they really get it down. Four years of psych classes, and some of my classmates still couldn't keep it straight. Hell, I still draw the grid to keep it straight when I need to explain it.
This has, ultimately, led to the popular belief that "negative reinforcement" as the addition of punishment is part of a formal psychological theory. It isn't.
Regardless, even thinking about "negative" as "bad", it's obvious that "negative reinforcement" is not what you want. Negative reinforcement, in that context, would be the addition of something bad to reinforce a behavior, and that's not what you're after (or what you're likely to get). That's like shocking someone (painfully) when they press a lever in the hope that they will continue to press the lever (pro-tip: they won't).
SO, instead of using "negative reinforcement" erroneously, use the proper term: "positive punishment". It sounds more badass, anyway.
tl;dr Skinner formulated the operant conditioning theory of positive/negative reinforcement/punishment and the terms haven't changed since. If you want to use Thorndike's ideas ("satisfying", "stamped in", "annoying", "stamped out"), then you have to use Thorndike's terminology. If you want to use Skinner's terminology, you have to use Skinner's ideas. They do not mix and match.
Azuaron: Educating the internet about psychology since 2006.
PS. Out of curiosity, Caliostro, what is your exact field of study? I've go a BS in psych (with a focus on information processing), an MS in engineering psych (with a focus on human-computer interaction), and I'm a freelance web dev now. Always good to meet fellow psychologists.