Did dinosaurs appear and replace other animals?  At least in one South American valley, there's no indication that the dinosaurs appeared and wiped out other animals, which has been the prevailing hypothesis for the origin of dinosaurs based on fossils from North America and elsewhere in the world.

Dating of new dinosaur fossils and volcanic ash around them by researchers from has led them to cast doubt on the idea that dinosaurs appeared and opportunistically replaced other animals. They seem to have existed side by side and gone through similar periods of extinction.
The dynamics behind signal transmission in the brain are extremely chaotic. 

The brain codes information in the form of electrical pulses, known as spikes. Each of the brain's approximately 100 billion interconnected neurons acts as both a receiver and transmitter: these bundle all incoming electrical pulses and, under certain circumstances, forward a pulse of their own to their neighbours. In this way, each piece of information processed by the brain generates its own activity pattern. This indicates which neuron sent an impulse to its neighbors: in other words, which neuron was active, and when. Therefore, the activity pattern is a kind of communication protocol that records the exchange of information between neurons.
A potentially new form of public finance and public insurance may lie in institutions of community jury banking.  Jury banking is a new concept, as far as I can tell, though it is a combination of immigrant loan pools, and microfiance schemes.  Immigrant loan pools because immigrants tend to get together as small communities and pool money, lending this money to a single person as startup capital for a business.  THis is why south asian and east asians can afford to buy delis and taxis.  The money the business makes is partially returned to the loan pool and more money is available to new immigrants.  The return rates are high and dafault rates low, because everyone in the pool knows each other.  In the jury finance case, the loan pool is seeded by the state,
I challenged you to come up with a short and ‘philosophical’ reason for why the tip of a plank can fall faster than free fall. The point was not to explain the experiment but to teach a lesson about critical thinking, waterproof argumentation, and so on.

‘Philosophical’ means: Get to the vital core and convince with fundamental insight.“ No formulas that a layman cannot comprehend, so, basically no formulas.

The scientific literacy of the American student has been dropping for quite some time now, and we often hear about this serious problem (here and here and, oh, over here).