Featured Post from Villanova University

Wordle: How to Play (and Win) Like a Linguist

Jan 20, 2022

4 min

Wordle. If you haven’t heard of it, maybe you're on vacation, on a remote island, with no WiFi. If you have, maybe you've seen friends post their results to Twitter or Facebook and wondered what it was about. Maybe you heard about the game from reading the news. Either way, you're probably in deep.


But for those of us who are unfamiliar, what is the game and how does it work? Why is it just so popular? And most importantly, how do you win? To answer these questions and more, we spoke with Villanova University professor and linguist Grant Berry, PhD.


"I think word games have to some degree always been popular (think of Scrabble or the New York Times crossword, for example), and a big reason for that is that every human being has a lifetime of experience with language—it's familiar ground for all of us who speak a given language," Dr. Berry says. The appeal of the game, then, makes a lot of sense. It's not a new phenomenon. Rather, it's a reimagining of an established pastime.


And Wordle is delightfully simple; each player is tasked with guessing a five-letter word in six tries. The tiles turn gray to show when letters are not in the word, yellow when letters are in the word but in the wrong position and green when letters are in the word and in the correct position.


"To start, you need to find a five-letter word that maximizes the likelihood that you'll find at least one of the letters in the target word," Dr. Berry says. "I parsed a word list from powerlanguage’s GitHub page (the person who created Wordle), and the five most frequent letters in that list are A (7,646), E (7,563), S (6,612), O (5,007) and R (4,937). There is one word in English that contains all of these: SOARE (a young hawk). This word is not very common, and it's very unlikely to be the correct word, but it should give you a few pieces of the puzzle. Odds are the target word is fairly common, so it's unlikely to have the least common letters: W, V, Z, X, J or Q."


Okay, so you should now have one or two correct letters. If not, Dr. Berry recommends "guessing a word (with the other two vowels) that doesn't contain any letters we've tried yet." (Some options are CUMIN, UNTIL, TULIP and INPUT.)


After this, start thinking about common sequences of letters in English using the letters you've uncovered. "The ten most common consonant clusters in the dataset were ST, CH, TS, SH, TH, NG, NT, NS, LL and LY. Alternatively, you could appeal to the tendency in English syllable structure to favor what's called sonority sequencing."


For those non-linguists out there, sonority sequencing means, "you're more likely to see harder, obstruent sounds like P, T, C, D, B and G followed by more resonant or continuant sounds like R, L, N, H or S at the beginning of syllables (i.e., before a vowel) and the opposite order at the end of syllables (i.e., after a vowel). For example, DRINK follows this principle."


And a helpful tip? "If you have an S in the word and not much other information besides vowels, your best bet is to put it at the beginning of the word or at the very end," Dr. Berry says. "The S sound is the only one in English that can form consonant clusters with more than two distinct sounds (e.g., STRAP); it's also commonly found at the end of words in plurals."


Congratulations, you're on a roll! "From this point, move forward without forgetting what you've learned so far, meaning that if a letter is gray from a previous guess, do not use it in another guess. Similarly, if a letter was in yellow in a previous guess, use it in a different position. If the new position is wrong, choose a third position that's different from the previous two. This way you aren't throwing away the useful positional information from your previous failed guesses." And there you go. With some expert tips and a bit of calculated guessing, you've uncovered the word of the day!


Now that we know what Wordle is and how to win, we talked with Dr. Berry about the puzzle's virality. "The short duration of the game and its simplicity make it easily shareable, and the fact that there's only one word per day makes it easy for a large group of people to have common ground and a central topic of discussion. Those two things combined are the recipe for a viral phenomenon."


Ever finish someone's sentence? Wordle taps into that experience and in a sense replicates it. "There’s strong evidence to suggest that human beings are capable of tracking distributions of words and sounds, using them to help predict what's coming next when reading or listening," Dr. Berry says. "In a sense, then, this game is asking players to do what they've always done: use what you know about the structure of words in English alongside feedback you get to come up with the appropriate target."


How many tries did it take you to uncover the word of the day? With Dr. Berry’s help, you probably have a score worth bragging about.





You might also like...

Check out some other posts from Villanova University

4 min

An Expert Guide to the Papacy and Pope Francis

The death of Pope Francis marks a pivotal moment for the Catholic Church, ending a papacy that redefined the Church's relationship with the modern world. As the College of Cardinals prepares to gather in conclave, Catholics across the globe are closely watching to see whether the next pontiff will build upon Francis' legacy or chart a new course. The following experts are available to provide insight into a range of related topics, including Pope Francis' enduring impact and what lies ahead for the world's 1.4 billion Catholics: Massimo Faggioli, PhD Professor, Theology and Religious Studies Dr. Massimo Faggioli is a world-renowned expert on the history and administrative inner workings of the Catholic Church, with specific expertise in the papacy, Vatican II, the Roman Curia, liturgical reform, new Catholic movements and Catholicism and global politics. As quoted on NPR: "Historically, we see in different conclaves a certain swinging of the pendulum. What the conclave and the next pope cannot do is to ignore and deny the changing features of global Catholicism, which is much less European, much less white, less North American and more Global South..." Kevin Hughes, PhD Chair, Theology and Religious Studies Dr. Kevin Hughes is a leading historical theologian, offering insights into the life, legacy and impact of Pope Francis. He can also speak to the significance of the pope in Catholicism and the influence of his teachings on the global Catholic Church. As quoted on Scripps News: "[Pope Francis' selection] was really the Church extending beyond the limits of its European imagination. His Latin American identity was really crucial to embracing a new moment within the Church and opening the door in so many ways, and I think he bore witness to that throughout his papacy." Jaisy Joseph, PhD Assistant Professor, Systematic/Constructive Theology Dr. Jaisy Joseph has an academic focus on the Church in Asia, offering expert commentary on its growth, challenges and shifting influence. She can speak to the Church's evolving identity in the Global South. As quoted by ABC News Digital: "[The election of someone from the Global South would be] a move in that direction of how to be a global church. That move from a Eurocentric church to a truly global church—I think that's what Francis really inaugurated." Brett Grainger, ThD Associate Professor, Study of Spirituality and American Religious History Dr. Brett Grainger is a go-to source for discussions of the changing face and role of modern spirituality in America. He serves as an expert on contemporary religious trends and can also speak to the broader public reaction to Pope Francis' passing, especially outside of the Catholic faith. As quoted by Courthouse News Service: "People are disaffiliating from a tradition—that doesn't necessarily mean in fact that they don't believe in God anymore...What's more important is 'Is this giving me life? Is this making my life more meaningful? Is this giving me the kind of energy and purpose that I'm looking for?' That's where religion is going." Michael Moreland, JD, PhD Professor of Law and Religion; Director, Eleanor H. McCullen Center for Law, Religion and Public Policy Dr. Michael Moreland is a renowned scholar of constitutional law, religious freedom, public policy and ethics. He can provide expert commentary on items related to the Catholic right and the state of religious politics in the United States. As featured on NBC News Digital: Michael Moreland said the mass appeal of "Conclave" captured how, even in a secular modern age, there is still pervasive intrigue around "the ancient rituals of the Catholic Church." "The significance of the theological and spiritual aspects of Catholicism and this process of electing a pope was kind of reduced into partisan politics," he said. Ilia Delio, OSF, PhD Josephine C. Connelly Endowed Chair in Christian Theology Sr. Ilia Delio addresses topics in her work such as theology and evolution, technology and human becoming and understandings of Catholicity in a world of complexity. She can provide expert insight into Laudato Si', Pope Francis' position on the environment, the relationship between science and religion and integral ecology. As featured in the National Catholic Reporter: "We are clearly an Earth in crisis," with a reversal necessary to secure a sustainable future, said Ilia Delio... Delio posed a series of questions: about the relationship between religion and science; what Laudato Si', and Christianity more broadly, can offer ecological movements; and whether the concept of kinship or creation as family might better reflect humanity's place within nature than "care for creation." To speak with any of these media experts, please contact mediaexperts@villanova.edu.

3 min

Villanova Professor Sees Costs and Benefits in Corporate and Federal Return-to-Office Mandates

In early February, federal agencies submitted plans in accordance with an executive order to initiate an estimated 1 million government employees’ full-time return to their duty stations. The departments’ actions are among the latest in a series of RTO moves enacted since the start of 2025. Notably, they follow policy changes by corporate giants Amazon, AT&T and JPMorgan, who in January began requiring five days of in-person work for select staffers, with justifications ranging from strengthening culture to improving performance. With more employers expected to require in-office work in the coming months, some predict that 2025 could be the “year of the RTO mandate.” But, given the arguments from those pushing for these policies, it’s worth asking: Are these return-to-office requirements truly justified? Do they actually improve communication, strengthen teams and boost productivity, as supporters claim? According to Kyoung Yong Kim, PhD, whose research focuses on telework, strategic human capital management and employee-organization relationships, the answer is complicated—and highly circumstantial. Dr. Kim says that, by gathering coworkers around the proverbial water cooler, RTO policies can in some cases facilitate dialogue, promote teambuilding and foster organizational success. Yet, in other instances, work-from-home (WFH) arrangements can significantly boost employee morale, efficiency and output. “In a recent paper, my colleague Ijeoma Ugwuanyi [a professor at Hong Kong Metropolitan University] and I examined how social distancing initiatives, which reduce interactions among people, impact working relationships,” says Dr. Kim. “We found that they can actually help improve negative ones, at least in employees’ minds.” Analyzing data collected on 105 working relationships among 43 full-time personnel at a South Korean healthcare company, Dr. Kim and Dr. Ugwuanyi discovered that, when afforded extended WFH privileges, colleagues previously at odds were given the space necessary to reassess their outlooks and improve their dynamics—especially when the individuals involved were viewed as competent and warm. As a result, these repaired relationships generally empowered more effective collaboration in the long run. Additionally, employees with positive in-person relationships maintained a solid rapport even when geographically apart. “These findings are particularly relevant as corporate and government workers increasingly return to their offices,” says Dr. Kim. “Managers need to remember that, according to the research, employees are willing to reset negative relationships they had previously. That said, returning to the office also offers a chance to strengthen relationships and make them more positive, which is crucial since team dynamics are a key determinant of team performance.” Per Dr. Kim, in order to best position themselves for success on the RTO front, organizations need to take a measured, sympathetic approach in facilitating their in-office policies, with an eye toward mitigating negativity. They need to remain cognizant of the logistical and interpersonal challenges that could emerge in the wake of a return, address their employees’ concerns in an attentive manner and foster a “supportive climate characterized by supportive behaviors.” It’s a situation that Dr. Kim says bears parallels—perhaps somewhat counterintuitively—to the mass shift to telework that occurred during the COVID-19 pandemic. As he found in his research on that phenomenon, employees responded best to changes in their working arrangements when organizational leaders and managers took the time to explain and actively discuss the reasoning behind them, especially in mission-driven terms. “Essentially, an important implication of the findings is that, to sustain employees’ positive attitudes and behaviors, it is crucial to frame these moves in a way that highlights how working in the office benefits both employees and the organization,” says Dr. Kim. In turn, RTO-focused organizations should recognize that their words and messages have a very real impact, particularly when scrutinized by workers who may not be happy about resuming their morning commutes. “Amazon, for instance, appears to be taking a thoughtful approach by emphasizing the value of collaboration with colleagues and the enrichment of organizational culture,” says Dr. Kim. “One potential drawback, however, lies in their message about the consequences of non-compliance, specifically that failure to adhere to the in-office policy could jeopardize employees’ chances of promotion. “A more positive framing, emphasizing how such policies support professional growth as well as employees’ well-being, could enhance favorable perceptions and work behaviors.” In the event organizations remain attuned to such situations—taking their employees’ perspectives into account, actively communicating their intentions and presenting clear value propositions—Dr. Kim thinks a year of the RTO mandate could potentially be a less daunting prospect. And maybe, with time, the transition back from Zoom to the boardroom could be a beneficial one.

5 min

Application of Road Salt Can Have Widespread and Long-Lasting Impacts, Says Villanova’s Steven Goldsmith, PhD

Streaks of white that coat roads and cars. Powdery footprints smudged into floors. It’s the time of year when much of the United States relies on road salt to keep ice at bay and accepts the nuisances that come with it. But beyond the inconvenience, all that salt has potentially serious, long-term effects on the environment, human health and infrastructure. Steven Goldsmith, PhD, an associate professor of Geography and the Environment at Villanova University, researches topics in watershed biogeochemistry and environmental health. A focus of his lab is the study of de-icing practices on water quality. Recently, Dr. Goldsmith shared insights from his work, exploring the widespread consequences of road salt and potential solutions to reduce its harm. Villanova PR: You have led or participated in research focused on the environmental impacts of road salt application, often locally, but with much broader implications. What have some of those studies found? Steve Goldsmith: In 2022, we published a paper showing that salt—sodium in particular—is seeping into Philadelphia's water supply, and it's timed with snow melts. We found that if you drank a glass of tap water during the peak period in the winter of 2018-19, your sodium intake would be six times what the Environmental Protection Agency (EPA) recommends within a glass of water for someone on a low-sodium diet. We are susceptible in this region because most of our water supply comes from rivers, and the rivers receive that salt runoff. Some of our findings indicate this is a chronic issue and not limited to winter months. All that contaminated shallow groundwater causes the concentration to rise year-round, even in the summer. In a recent paper, we discuss the issue of salt that lands on the side of the road. When it does, it infiltrates into soil, and then it goes into shallow groundwater before entering our streams. Oftentimes when salt is applied to the road and you receive that initial precipitation, you are left with runoff with salinity near the concentration of sea water, which is very bad for freshwater organisms. PR: Have those studies found other impacts beyond those created directly by sodium? SG: It’s certainly not just a sodium issue—it's also a chloride issue. Chloride does have a negative impact on aquatic organisms, but it can also corrode drinking water infrastructure. If you have lead pipes in that infrastructure, that can lead to a range of human health issues. Even just to prevent those problems, applying chemicals to protect from the corrosion of pipes increases costs. Perhaps the worst part is when road salt infiltrates shallow soil and groundwater, the sodium is left behind preferentially in soils because it's displacing other positively charged elements, which could then go into groundwater. The elements it replaces are metals. If we have more salt runoff on the side of the roads, chances are, if we look in those streams, we are going to see higher concentrations of heavy metals like copper, zinc and even lead. PR: You have mentioned the efficacy of brine. What is brine and why is it more effective than traditional road salt? SG: If you’ve ever driven behind a rock salt truck, you probably noticed it pelts your windshield and shoots salt everywhere. A lot of that rock salt ends up following the natural trajectory of the road, which is designed to drain towards the sides to keep water from pooling. As soon as a snowstorm happens, it's going to melt and flow into the storm drain. That, of course, is bad for the environment, but also doesn’t help remove ice from the road. With brine, the application is a diluted road salt with water mixture that is usually about 23 percent sodium chloride by volume, and it’s referred to as an “anti-icing” measure. The saltwater infiltrates the top layer of pavement and embeds in the roadway itself, which keeps ice from crystallizing when snow or water hits the surface. To use an analogy, let’s say you have a large rock that you placed on top of the pavement, but you also have a quarter of that rock’s volume in sand. If you put that sand onto the pavement, it will permeate into nooks and crannies. That's the same idea here: use less material and in a way that makes it stick better to the surface and reduces the need to reapply as often during and after storms. PR: What are potential positive impacts if municipalities switch from road salt to brine? SG: There are limited studies on this, but it's been shown that if done properly, brining can reduce salt runoff into streams by anywhere from 23 to 40 percent. If it's 40 percent, you have almost cut the problem in half, and that lower peak salt concentration and runoff would have a profound positive impact on aquatic organisms that are downstream. From a cost standpoint—and I say this theoretically because there are other up-front costs associated with brining at the municipal level—if you reduce salt concentrations by up to 40 percent it means you apply a lot less and therefore spend a lot less. PR: What can individuals do to decrease road salt runoff, and how much of an impact does individual use have? SG: We can start by addressing the household salt application problem. Another one of our recent papers suggests that other impervious surfaces, like driveways, sidewalks and parking lots, are probably contributing even more than the roadway application. The best estimate is that individual or private contractor use could be over 10 times what you see on roads. For researchers, part of addressing this is trying to understand why people apply so much salt on their personal properties: are they afraid of lawsuits? Keeping with the Joneses? Are they not aware of ordinances that say you have to shovel within a certain number of hours, which would negate the need for salt anyway? For homeowners and other individuals, one proposed solution is to use a coffee mug’s worth of salt for every 10 sidewalk squares. Think of it as a “low-sodium diet” to make sure you’re not overapplying. It’s a way we can limit our use of salt and do so in a way that doesn't jeopardize safety. These individuals can also sweep up salt applied before a storm that never materialized to use before the next one. This will prevent the possibility of rain needlessly dissolving the salt. PR: Are there effective alternatives to road salt that individuals can use? SG: The only truly effective alternative, unfortunately, is simply using less road salt. While some people apply sand, it also washes into local streams, causing environmental harm. Another option that has gained attention is beet juice—what I like to call the “Dwight Schrute” solution. Beet juice actually works better than road salt because its organic acids prevent ice from crystallizing at temperatures much lower than those at which rock salt is effective. However, from an environmental standpoint, beet juice contains high levels of nutrients, which can contribute to algae growth if it enters waterways. Additionally, recent studies suggest it may also be toxic to aquatic organisms. The growing consensus is that while some road salt is necessary, we need to use less of it.

View all posts
Powered by