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From primary school to university, I witnessed countless such public humiliations: for fighting, cheating or petty misdemeanors. Caught committing any of these offenses and you may have to stand before the student body, criticizing your own “moral flaws,” condemning your character defects, showing yourself no mercy, even exaggerating your faults. Only those who have endured it can know the depth of shame one feels.

The math behind these formulas may be elegant, but applying them is more complicated.

Salzman first became interested in wine when he was a graduate student at Stanford University studying neuroscience (Ph.D.) and psychiatry (M.D.). “I was corrupted by some people who were very serious about wine,” he told me. Together, they would host wine tastings and travel to vineyards. Over time, as his interest in wine grew, he began to think about the connections between his tastings and the work he was doing on the ways in which emotion colors the way our brains process information. “We study how cognitive and emotional processes can affect perception,” he said. “And in the case of something like wine, you have the perfect example: even before you open a bottle to experience the wine itself, you already have an arbitrary visual stimulus—the bottle and the label—that comes with non-arbitrary emotional associations, good and bad.” And those emotional associations will, in turn, affect what we taste.

In one recent study, the Caltech neuroscientist Hilke Plassman found that people’s expectations of a wine’s price affected their enjoyment on a neural level: not only did they report greater subjective enjoyment but they showed increased activity in an area of the brain that has frequently been associated with the experience of pleasantness. The same goes for the color and shape of a wine’s label: some labels make us think that a wine is more valuable (and, hence, more tasty), while others don’t. Even your ability to pronounce a winery’s name can influence your appreciation of its product—the more difficult the name is to pronounce, the more you’ll like the wine.

For experts, though, the story is different. In 1990, Gregg Solomon, a Harvard psychologist who wrote “Great Expectorations: The Psychology of Expert Wine Talk,” found that amateurs can’t really distinguish different wines at all, but he also found that experts can indeed rank wines for sweetness, balance, and tannin at rates that far exceeded chance. Part of the reason isn’t just in the added experience. It’s in the ability to phrase and label that experience more precisely, a more developed sensory vocabulary that helps you to identify and remember what you experience. Indeed, when novices are trained, their discrimination ability improves.

“Estimating the Reproducibility of Psychological Science,” from Science This paper isn’t really a study; it’s the outcome of an important movement in the field of psychology. In an effort called the Reproducibility Project, researchers at dozens of universities collaborated to replicate a hundred psychology studies that were initially conducted in 2008. They ended up replicating between a third and half of the studies. Is that result bad or good? It’s inevitable that studies won’t always be replicable—if every study could be replicated, then every researcher would be right the first time; even legitimate findings can prove fragile when you try to repeat them. All the same, the paper concludes that there is “room for improvement” in psychology, especially when it comes to “cultural practices in scientific communication.” Specifically, the authors propose that “low-power research designs combined with publication bias favoring positive results together produce a literature with upwardly biased effect sizes.” In other words, the desire for novelty drives researchers to overestimate the conclusiveness of their own work. It’s a fascinating and valuable effort to make sure that psychology moves forward in the best way possible.

Predicting the Next Financial CrisisWhy do financial crises occur – and when will the next one come? In the past, economic theory has failed to answer these questions. In this week’s Science Journal Perspectives, economists, physicists, epidemiologists, climate scientists and ecologists call to establish a new early warning system to avoid future global financial crises. They argue that the methods used by scientists to predict weather, traffic or disease epidemics should be used to simulate the financial systems, which could help to avoid the failures we have seen in the past. Professor Doyne tells Jack how the analysis of complex networks could and should be applied to the economy.

In the nineteen-eighties, Allan Rechtschaffen and Bernard Bergmann, both, like Kleitman, sleep researchers at the University of Chicago, performed what is now considered to be one of the classic experiments in the field. It showed that rats, when totally deprived of sleep, would, after two or three weeks, drop dead. But Rechtschaffen and Bergmann could never figure out the precise cause of the rats’ deaths, and so, they wrote in a follow-up paper in 2002, even “that dramatic symptom did not tell us much about why sleep was necessary.” Rechtschaffen has observed that “if sleep doesn’t serve an absolutely vital function, it is the greatest mistake evolution ever made.”

You might expect 10 ÷ 5 is the same as 10/5 is the same as 10 over a 5 with a vinculum between them, but each has its own eccentricities. We’ve already noted that ÷ can mean “divide the number on the left by the number on the right” or “divide the expression on the left by the expression on the right.” But it gets really tricky when people assume that a slash replaces a vinculum. Does ab/cd = (ab)÷(cd) or ((ab)÷c)÷d? Does a/b/c mean (a)÷(b)÷(c) or a÷(b/c) or (a/b)÷c? (Answer: Use some parentheses!)

The bottom line is that “order of operations” conventions are not universal truths in the same way that the sum of 2 and 2 is always 4. Conventions evolve throughout history in response to cultural and technological shifts.

And, the basic unit of taxonomy – ‘the species’ – remains an elusive and controversial concept despite its fundamental importance to science. Yet, few people outside of biology and philosophy realise that ‘the species’ has been at the centre of a major controversy in science for much of the last 50 years.

Taxonomy is a fundamental or ‘enabling’ science that underpins all of biology and its many related fields including medical research.

• How does the species category compare with other scientific groups or types of things like say the chemical elements? • Does it play the same kind of role in science – conveying the same sorts of information and allowing us to make predictions about nature? • What’s the best, most objective, way to recognise a species?

In recent years anthropologists have begun to point out that sensory perception is culturally specific.

Recently, a team of anthropologists and psychologists at the Max Planck Institute for Psycholinguistics and Radboud University, both in Nijmegen, the Netherlands, set out to discover how language and culture affected sensory awareness. Under the leadership of Asifa Majid and Stephen C. Levinson, they made up a kit of systematic stimuli for the traditional five senses: for sight, color chips and geometric forms; for hearing, pitch, amplitude and rhythm variations; for smell, a set of scratch-and-sniff cards; and so forth. They took these kits to over 20 cultural groups around the world. Their results upend some of our basic assumptions.

Fact can be stranger than fiction. This is especially true of black holes, as Prof Stephen Hawking explains.For instance as soon as you entered the black hole, reality would split in two. "In one, you would be instantly incinerated, and in the other you would plunge on into the black hole utterly unharmed," as we have previously explored.In the 2016 Reith lectures broadcast on BBC Radio 4, Prof Hawking further examines and challenges the latest scientific thinking about black holes.

“It is morally problematic, because more people are thinking of pets as people … They consider them part of their family, they think of them as their best friend, they wouldn’t sell them for a million dollars,” says Dr Hal Herzog, a professor of psychology at Western Carolina University and one of the founders of the budding field of anthrozoology, which examines human-animal relations. At the same time, research is revealing that the emotional lives of animals, even relatively “simple” animals such as goldfish, are far more complex and rich than we once thought (“dogs are people, too”, according to a 2013 New York Times comment piece by the neuroscientist Gregory Berns). “The logical consequence is that the more we attribute them with these characteristics, the less right we have to control every single aspect of their lives,” says Herzog.

A series of studies suggests that, while a product’s ethics may influence purchasing decisions, many shoppers choose simply not to know whether something was ethically made. That includes shoppers who care about social responsibility. And shoppers who ignore ethical matters can even develop a negative opinion about people who do express ethical concerns—which makes them even less likely to pay attention to ethical issues in the future.

“You feel badly that you were not ethical when someone else was,” Rebecca Reczek, a professor of marketing at Ohio State University and one of the study’s authors, told NPR about the results. “It’s a threat to your sense of self, to your identity. So to recover from that, you put the other person down.”

International supply chains, she points out, are notoriously opaque, and the free market doesn’t have any good way to deal with the way this system stifles information. It might be best, she says, if these matters were regulated before the products even reached consumers, taking ethical dilemmas out of the shopping equation. Of the unethical choice, like a polluting car or a shirt made with exploited labor, she suggests: “Maybe we just shouldn’t have it available.”

The malleable nature of facts is a particular preoccupation in one field of philosophy. “Social constructivism” argues that there are simply no objective facts. Instead, every “fact” we believe is a reflection of our socially constructed values, and how we choose to perceive the world. This is not a new theory, and develops many of its ideas from Karl Marx and Friedrich Nietzsche, who examined shifting human values from a historical perspective in the 19th century. But the current political debate offers a vivid demonstration of these ideas. Jesse Prinz, a philosophy professor at City University of New York, explains that facts are always subjective. Even something as foundational as the periodic table. “When you look closely, you realize that it could have been organized very differently. It could be ordered by atomic weight, rather than atomic number, it could include isotopes, it could exclude elements that don’t exist in nature, and so on,” he says. “The way we classify things is always a function of both mind and world.”