How should people in science fields debate scientific topics with those who are not in science fields?
My pet peeve is the scientific vocabulary. As I have stated in several threads, science has the nature of a medieval guild craft. One of the rites of passage for joining the guild is to master the use of the terminology so we can communicate with other scientists. (I say "we" even though I'm not a career scientist. I've got the education and the ability to communicate its ideas.) This terminology seems almost deliberately designed to make it difficult for us to share the secrets of the guild with outsiders. So that they will remain outsiders. This demeans science, since we should be proud enough of it to want to share it.
The concept that I hit on most frequently is that of "truth" or "facts." Those words don't mean the same thing in science as they do to laymen. No scientific theory can be
proven true. They can only be proven false, or they can fail to be proven false despite many generations of scientists trying to do so. Yet we can never be certain that one day someone will not find the evidence that falsifies any theory. It just happens so rarely that when it does it does not cause the entire scientific canon to come crashing down, so we're comfortable building that canon on theories that have been proven... that have been proven... what?
I have introduced the term "true beyond a reasonable doubt," language I got from the lawyers. (The only good thing they've ever done for me and I got it for free.

) Laymen understand that to prove something true beyond a reasonable doubt is good enough to send a man to prison for life, or in Stone Age countries like mine, to execute him, even though a finite possibility remains that this thing upon which he was convicted is false. Therefore they should be able to understand that to have a scientific theory proven true beyond a reasonable doubt is good enough to include it in their children's textbooks and to base government policy on it, even though a finite possibility remains that it will one day be found false.
There are myriad scientific terms that serve to widen the gap of understanding between scientists and laymen, rather than helping us connect with them. We don't even use the word "theory" itself the way they do. In police work, it's just a hunch. Of course even our brethren the mathematicians add to this particular confusion, since what they call a "theory" is based entirely on abstractions and logic, and has in fact been proven completely true.
So the first step in any communication with laymen, whether debating or teaching, is to establish terminology that won't be misunderstood.
Ultimately, the aim of all scientists is to convince, either their peers, their students or the lay people. Otherwise, its not possible to move forward in science.
I see others have pounced on this and I agree with them. Any scientist may try to
convince his peers that a particular line of research or reasoning is promising and therefore worth devoting a share of their time and energy and other finite resources to. But he does not need to
convince them that his hypothesis is correct. It should speak for itself.
Now if you're talking about communication with people outside the academy, then a little convincing is in order. You have to
convince laymen that sharks, the apex predators of the sea that constitutes the majority of the earth's ecosystem, are vital and should not be hunted to extinction. You don't have time to give each of them a university-level course in marine biology, and even if you did, most of them don't have the aptitude and/or interest to pay attention.
Of course, scientists are also willing [mostly] to be challenged on theories they have been convinced about.
You're illustrating my pet peeve by using "theory" where, if I read you correctly, you mean "hypothesis." A theory has been tested and peer-reviewed and judged by the community of scientists to be true beyond a reasonable doubt--although they haven't all adopted my terminology yet.
There is a notion of TRUTH in science.. . .
Exactly. "Truth beyond a reasonable doubt."
Geocentric theory is just as valid as heliocentric. There is no absolute Cartesian center of the universe.
Sure, but by the time of the Enlightenment helio- and geocentricity had come to refer only to the revolution of the one body about the other, not that of the entire universe about either of them. Coordinates were to be established just for our own solar system, and the motions of the other planets made it clear which body makes the most logical origin point.
Sort of like my last advisor bemoaning that I think too much, an odd idea to me. Is it possible to think too much?
Believe it or not, about ten years ago the verb "overthink" enjoyed a flash of popularity in America. The idea was that if you spend "too much" time thinking about something, you'll never reach the point of taking any action. I heard the word used specifically in the halls of the various levels of American governments, where indeed our civil "servants" spend endless hours on "studies" and "conferences" and "analyses." These activities really do seem to have the sole purpose of prolonging the lead-in time to any real endeavor, in order to justify their positions and their salaries. It was an unfair slight against thinking, since very little of what went on in those meetings and other "working" sessions was actually any sort of cognitive process.