An actual example:

We are all part of a "bewildered herd," prodded by the rod and staff of what our socially acceptable stalls are on the "Animal Farm." What we should be teaching is STEM can be as significant as a pillar of fire by night and smoke by day; it can split a sea of reeds and be the modern underground railroad to emancipation. Instead of mastering levels and cypher, we need to master Calculus and Physics!

The numbers are not optimistic. Anthropologists think some 70 billion humans have so far lived on Earth. If we assume that we have no special status in human history, then simple probabilistic arguments suggest that there is a 95 per cent chance that we are among the last 95 per cent of humans that will ever be born. And this means there is a 95 per cent chance that the total number of humans that will ever exist will be less than 20 x 70 billion or 1.4 trillion.

These guys look at the scenario in which many civilisations have evolved throughout the universe, the so-called “universal doomsday” argument. “In that case, we should consider ourselves to be randomly chosen from all individuals in that universe or multiverse,” they say.

Now suppose that the world population stabilises at 10 billion and our life expectancy is 80 years, then the remaining humans will be born in the next 10,000 years. That’s not a long future for humanity. Today, Austin Gerig at the University of Oxford and a couple of pals put forward a new argument with a (slightly) happier ending.

These guys look at the scenario in which many civilisations have evolved throughout the universe, the so-called “universal doomsday” argument. “In that case, we should consider ourselves to be randomly chosen from all individuals in that universe or multiverse,” they say.

In the past, these universal arguments have been no more optimistic than the ordinary ones. They generally state that long-lived civilizations must be rare because if they were not, we would be living in one. What’s more, because long-lived civilizations are rare, the prospects for our civilisation ever becoming long-lived are poor.

This new approach approach allows Gerig and co to take a more fine-grained look at the odds that humanity will survive for much longer in future than it has existed in the past.

The results are complex but their main conclusion gives some reason for hope. “If [the number of existential threats] is not too large, the probability of long-term survival is about a few percent,” they say.

Researchers led by PPPL physicist Sam Lazerson have now created a computer code that simulates the required diagnostics, and have validated the code on the Large Helical Device stellarator in Japan. Called “Diagno v2.0,” the new program utilizes information from previous codes that simulate 3D plasmas without the diagnostic measurements. The addition of this new capability could, with further refinement, enable physicists to predict the outcome of 3D plasma experiments with a high degree of accuracy.

The researchers employed a mathematical technique called “virtual casing” to develop the new code for 3D fusion plasmas that are in equilibrium. Such plasmas are held steady by the balance between the inward pressure of the magnetic fields that confine them and the outward pressure exerted by the plasma. Virtual casing enabled the researchers to efficiently calculate magnetic diagnostic signals given a simulated plasma. This was achieved by recognizing that the magnetic field at the edge of the simulated plasma was all that was necessary to calculate the magnetic diagnostic signals.

Star Trek Blog: Star Trek’s replicator is an amazing technology concept that has fascinated us for decades. Working at the molecular level to synthesize materials, the replicator is able to instantly produce nearly any object, food or medicine on demand. It is easy to imagine how the replicator would quickly change the world. Such a device could dramatically reduce or even eliminate the cost of most products. Hunger and poverty would be stamped out worldwide, and much of the time and energy spent working for a living could be used instead for pursuits of education, exploration and the advancement of society.

Star Trek envisions the future of humanity to be one of incredible achievements made possible by evolved philosophies as well as technologies. This hopeful view of tomorrow is perhaps the reason so many have dreamed of inventing real-life versions of Star Trek tech -- from the transporter to the tricorder -- and the replicator is one of the most coveted.

A process called “additive manufacturing,” or its more popular nickname, “3D Printing,” has captured the imagination of the tech industry. These machines work much like the two-dimensional printer you may have on your desk, but instead of printing a layer of ink, a 3D printer extrudes many layers of melted plastic to form a physical object. You can imagine this as similar to a hot glue gun, where the heated glue stick is carefully extruded from a nozzle. In the case of a 3D printer, that nozzle is controlled by software and digital design files that tells it how to form a shape.

The comparisons between 3D Printing and the Star Trek replicator don’t end with plastic. Other materials like wood, metal and even some foods are now being extruded in similar ways to make on-demand creations. This has led to excited speculation that soon we may see the beginnings of a new era of manufacturing in America and around the world, where small-scale production is possible at very low costs. We may even “print” biotechnologies and human organs one day.

Gene Roddenberry's underlying message of the future: eternal optimism. As much as I am a fan, I'm afraid I possess a healthy dose of skepticism. Even the Star Trek Memory Alpha Wiki mentions some rough roads prior to 1st Contact with Vulcan. I sincerely hope "life does [not] imitate art" in this case (the "rough road" part; 1st Contact would be OK).

The last five mass extinction events were completely involuntary; unassisted since we hadn't showed up just yet. I end below the embed with two quotes from Einstein:

Feynman originally outlined his thought experiment in volume three of his famous series The Feynman Lectures on Physics as a way of illustrating wave–particle duality in quantum mechanics. In the book, he invites the reader to imagine firing individual electrons through two slits and then marking the position where each electron strikes a screen behind the slits.

After many electrons have passed through the slits, the marks on the screen will comprise a diffraction pattern – illustrating the wave-like behaviour of each electron. But if one were to cover up one of the slits so that each electron could only pass through the other slit, the diffraction pattern would not appear – showing that each electron does indeed travel through both slits.

So why use the GRE at all? One certain answer: national rankings. Consider US News, whose rankings of graduate programs are widely influential among both prospective graduate students and administrators....

Justifying using the GRE becomes significantly more complicated, however, when the test results are dissected by race and gender. The figure plots QGRE scores by race/ethnicity and gender for US citizens whose intended graduate major was "physical sciences". The top and bottom of the lines are the 75th and 25th percentiles of the score distributions, respectively; the tick is the mean. This pattern is qualitatively unchanged when controlling for undergraduate GPA. Note the implications for diversity of using 700 as a minimum acceptable score: nearly three quarters of Hispanics would be rejected, and significantly more than this for American Indians, African Americans, and Puerto Ricans; similarly, women are filtered out at a higher rate than men. Mixing cut-off scores with these racial and gender disparities sets the foundation of a glass ceiling erected by the lopsided treatment of minorities and women before they even set foot in grad school.

The Asian > White > Hispanic > Black pattern permeates standardized testing: it is the same for the SAT, and is reflected in the recent race-based levels set by Florida and Virginia for grade schoolers' performance on state-wide standardized tests.

To be fair: there's more data and insight at the link below. The statistics (I feel), is a measure of where we've allowed ourselves as a society to get "comfortable." I have mused on this at length in the posts: "A Matter of Marketing" and "Dark Matters." Einstein is the source of the following quotes:

1. "It seems to be a universal fact that minorities--especially when the individuals composing them can be recognized by physical characteristics--are treated by the majorities among whom they live as an inferior order of beings. The tragedy of such a fate lies not merely in the unfair treatment to which these minorities are automatically subjected in social and economic matters, but also in the fact that under the suggestive influence of the majority most of the victims themselves succumb to the same prejudice and regard their kind as inferior beings. This second and greater part of the evil can be overcome by closer association and by the deliberate education of the minority, whose spiritual liberation can thus be accomplished.

"The resolute efforts of the American Negro in this direction deserve approval and assistance."

Mein Weltbild, Amsterdam: Querido Verilog, 1934, pp 117-118.

2. "Insanity: doing the same thing over and over again and expecting different results."

Bear with me...

Pascal Gehring and colleagues point out that synthetic TIs, discovered only a decade ago, are regarded as a new horizon in materials science. Unlike conventional electrical insulators, which do not conduct electricity, TIs have the unique property of conducting electricity on their surface, while acting as an insulator inside. Although seemingly simple, this type of surface could allow manipulation of the spin of an electron, paving the way for development of a quantum computer. Such a computer would crunch data much faster than today’s best supercomputers.

However, the mechanisms behind sap exudation—processes that trigger pressure differences causing sap to flow— in maple trees are a topic of much debate. In a paper published today in the SIAM Journal on Applied Mathematics, authors Maurizio Ceseri and John Stockie shed light on this subject by proposing a mathematical model for the essential physiological processes that drive sap flow.

Sugars are produced in the leaves of the maple tree by photosynthesis with the help of absorbed water, carbon dioxide, and sunlight, and are consumed for current growth, or stored as starch. In the cold, dormant season, some of the starch enters the sap, where it remains mostly frozen until the spring. In the period between this dormant state and the active growing season (during cold nights with below-freezing temperatures followed by mild, warm days with above-freezing conditions), the stored starch is converted into sugar and the sap pressure grows, allowing it to exude naturally from the tap hole when tapped.

He was also pleased at my interest in amateur astronomy. He didn't lecture me when a mishap chemistry experiment resulted in a spectacular explosion in my room (don't worry: my parents did!). The only reservation he communicated was after the Challenger Disaster (I was in the Air Force, home on a visit): he preferred I not become an astronaut, though I never promised him I wouldn't.

Dr. Hay had contacts with congressional leaders. He could have gotten me an appointment at one of the service academies. I declined, and stated I wanted to go to college close to home. He respected my wishes, and I did that. He invited me to bring some of my classmates and discuss majoring in engineering and science at his "Super Saturday" career day, which he did every year...at church. Yet, I don't ever recall his ever needing to 'correct my thinking,' challenge what I'd learned...or that he seemed threatened at all by my interest in science as some seem to be today. Galileo and Copernicus would have appreciated him, and our youth less confused by this boondoggle.

Note this excerpt:

"In an age when most major public policy challenges revolve around science, less than 2 percent of congresspersons have professional backgrounds in it. The membership of the 112th Congress, which ran from January 2011 to January 2013, included one physicist, one chemist, six engineers, and one microbiologist.

"In contrast, how many representatives and senators do you suppose have law degrees - and whom many suspect avoided college science classes like the plague? Two hundred twenty-two. It's little wonder we have more rhetoric than fact in our national policy making..."

Physicists announced on July 4, 2012, that, with more than 99 percent certainty, they had found a new elementary particle weighing about 126 times the mass of the proton that was likely the long-sought Higgs boson. The Higgs is sometimes referred to as the "God particle," to the chagrin of many scientists, who prefer its official name.

But the two experiments, CMS and ATLAS, hadn't collected enough data to say the particle was, for sure, the Higgs boson, the last undiscovered piece of the puzzle predicted by the Standard Model, the reigning theory of particle physics.

Now, after collecting two and a half times more data inside the Large Hadron Collider (LHC) — where protons zip at near light-speed around the 17-mile-long (27 kilometer) underground ring beneath Switzerland and France — physicists say the particle is the Higgs. [In Photos: Searching for the Higgs Boson]

"The preliminary results with the full 2012 data set are magnificent and to me it is clear that we are dealing with a Higgs boson though we still have a long way to go to know what kind of Higgs boson it is," said CMS spokesperson Joe Incandela in a statement.

Now, more recently, in 2013, astrophysicists Dan Hooper of Fermi National Accelerator Laboratory and Tracy Slatyer at Princeton University, have published a study suggesting that a massive outflow of charged particles from Fermi bubbles, as they are known, outflows of charged particles (gamma rays) traveling at nearly a third the speed of light from the center of the Milky Way galaxy, may be partly due to collisions between dark matter particles that result in their annihilation, and the subsequent creation of the building blocks of visible matter—charged particles that appear as two lobes or "bubbles," above and below the center of the Milky Way Galaxy.

Another possibility includes a particle jet from the supermassive black hole at the galactic center.