And yet a Massachusetts auditor for the lottery says of people gaming the lottery system:

Exactly. So why don't I feel sorry for them?

FTFA:

Wow... that IS big!

We do put a lot of credence on imaging as people, but this breakthrough discovery doesn't have that same problem. It's not like we waited to discover exoplanets until we imaged them directly. That discovery happened a decade ago, and was done using the pull of a planet on its host star.

Imaging is a powerful step forward. Localization matters. You've piled up all of the signal associated with a planet in a bin, where that signal is very easy to differentiate from background signals and from noise. There is no doubt that the image shown in this case that four planets exist. That kind of confidence is hard to get from fitting the 4-way pull of those planets on a host star over a period of many years.

As with a lot of things, context is everything. By itself, one of these images doesn't say much. But when you know that it was pointed toward a system known (through independent measurements) to have planets, and that it was taken in an infrared band where lukewarm blackbody spectrum of dusty planets are expected to have peak, and the "blobs" are at angular separations that correspond in distance to tens of AUs (1 AU is the distance of the Earth from the Sun), then you start to have something. As with all of science, new developments "stand on the shoulders of giants", and in this case, that is the substantial literature that has built up in the last decade around exoplanetary systems.

And as for an image classification system: published, peer-reviewed papers are the fundamental units of science. Because of the context issue, a thousand words is worth substantially more than a stand-alone picture. The "image" is just a figure in a paper, and loses its value outside that context.

It is all rather miraculous, how far scientific instrumentation has come, but I'm not quite sure what you're getting at with:

This is "direct imaging", because it is directly measuring the spatial distribution of photons arriving from this system, even if it is done with mirrors and CCDs, and not your eye. This sets this measurement apart from the other techniques you have described for inferring the presence of planets from their gravitational pull on the host star.

As for "somehow more reliable", I don't think there's any need for hand-wavy words like "somehow". All of these measurements you mention have error bars (and it should be a crime that any scientific press release be allowed to drop the error bars when reporting). Simultaneously fitting for four separate orbits (including distance from star, mass of planet, inclination of orbit, etc) for this many planets means there is substantial covariance between the parameters you are fitting for. Direct imaging, on the other hand, only has to stand out relative to the noise background. It is hard to judge from the color scale of the images, but these look like easily >5sigma detections of each planet.

An anecdote:

One day, my bank (Chase, for the record) started repeatedly threatening to shut down my account if I did not confirm that "suspicious activity" on my account was legit. I wasn't doing anything out of the ordinary. I started getting multiple threats a week, and when I once traveled and lost cell service for a week, they disabled my account.

When I pushed them on the issue, they confessed that my account was on a list of potentially compromised accounts. They told me that some entity had called in to place it there, but they would not name names. This was an infuriating example of how far we are from being able to hold businesses accountable for data theft. They were not going to tell me about the potential ID theft until I threatened to close my account, and they allowed a business to (apparently) anonymously phone in cases of ID theft.

do you think that once, just once, an article could mention error bars? Please? This comic pretty much summarizes how much I trust articles like this: http://www.phdcomics.com/comics/archive.php?comicid=1174

Millimeter waves bounce off of water. Your skin is the first water the waves encounter as they are bounced off of you. It's just a way to get a picture of you naked.

My dog does this... he tears apart yarn, eats it, and eventually it comes out the other end.