How Do Scientists Know That Entropy Increases?

The blow Einstein landed on human rationality was fatal (nowadays physics is a Harry Potter science with an ever increasing degree of madness):

http://www.newscientist.com/article/mg22029410.900
New Scientist: "Saving time: Physics killed it. Do we need it back? (...) Einstein landed the fatal blow at the turn of the 20th century."

http://www.bourbaphy.fr/damourtemps.pdf
Thibault Damour: "The paradigm of the special relativistic upheaval of the usual concept of time is the twin paradox. Let us emphasize that this striking example of time dilation proves that time travel (towards the future) is possible. As a gedanken experiment (if we neglect practicalities such as the technology needed for reaching velocities comparable to the velocity of light, the cost of the fuel and the capacity of the traveller to sustain high accelerations), it shows that a sentient being can jump, "within a minute" (of his experienced time) arbitrarily far in the future, say sixty million years ahead, and see, and be part of, what (will) happen then on Earth.. This is a clear way of realizing that the future "already exists" (as we can experience it "in a minute")."

Still the irrationalization of science did not start in 1905 - the process was already going on. The entropy mania, somewhat abated nowadays, was not less powerful. It is still a good money-spinner:

http://gizmodo.com/time-runs-backwar...cie-1775236123
"Tim Blais, the mastermind behind A Capella Science, said on Twitter that he based the lyrics on this lecture about the arrow of time and the origins of the universe by Caltech physicist Sean M. Carroll. Since I'm married to Carroll, I've heard a lot over the years about the subject. Why does time run forward and not backward? Blame the second law of thermodynamics. The universe has a general tendency toward disorder and decay, a phenomenon known as entropy. (...) That's the arrow of time, or entropic time. Why is there such an arrow? It's because the entropy of the universe is higher today than it was yesterday. And the entropy yesterday was higher than the entropy the day before, and so on..."

Pentcho Valev