Bart Schultz on The Happiness Philosophers

SchultzIn The Happiness Philosophers, Bart Schultz tells the colorful story of the lives and legacies of the founders of utilitarianism—one of the most profoundly influential yet misunderstood and maligned philosophies of the past two centuries. Best known for arguing that “it is the greatest happiness of the greatest number that is the measure of right and wrong,” utilitarianism was developed by the radical philosophers, critics, and social reformers William Godwin (the husband of Mary Wollstonecraft and father of Mary Shelley), Jeremy Bentham, John Stuart and Harriet Taylor Mill, and Henry Sidgwick. Schultz recently took the time to answer some questions about his new book.

What do you hope to achieve with this book?

Well, I suppose it represents one of the ways in which I try to “do good better,” as the saying goes.  Among other things, I would like to see it help spark a more critical approach to the so-called “happiness industry,” that vast literature (both popular and academic) on the subject of happiness that far too often lends itself to questionable political (or apolitical) agendas.  The great nineteenth-century utilitarians—Godwin and Bentham, Mill and Sidgwick—developed and deployed their notions of happiness as part of their tireless efforts to advance social reform, e.g. seeking to promote happiness by securing political and social equality for women.  They had their failings, but their energetic reformism was often admirable and their example remains relevant to our political situation today.  Were they around today, they would all be participating in the Women’s Marches, fighting global poverty, and sounding the alarm about global warming.

Many people might not think of utilitarianism in that way, or of academic philosophy as holding that potential.

Yes, but those are views that I am out to challenge.  I hope that my book will inspire people in many different walks of life, academic or not, both to revisit the classical utilitarians and to engage with the wonderful utilitarian philosophizing at work in the world today, as evidenced by the journal Utilitas.  Curiously, although there is a laudable and widespread interest in the work of Peter Singer, particularly the animal liberation and effective altruism movements that he did so much to advance, that interest often fails to extend to the philosophical roots of his utilitarian perspective in the work of Henry Sidgwick, the greatest of the nineteenth century utilitarians.  But if the philosophizing and activism of Singer can so engage people, the work of Sidgwick and the other great utilitarians should be able to inspire them as well.  True, the old, malicious caricatures of the classical utilitarians are still far too common.  In my own experience teaching at the University of Chicago for thirty years, even many of the brightest young students of philosophy harbor views of classical utilitarianism that owe more to the hostile depictions of it by critics than to the classical utilitarian writings themselves.  They have read Michel Foucault on Bentham, but not Bentham; John Rawls on Sidgwick, but not Sidgwick, and so on.

How will your book change that?

By providing fuller portraits of the lives and works of the classical utilitarians taken together.  The philosophizing and the activist life of, say, William Godwin (but the others as well) were genuinely inseparable, and one gets a much better sense of what his philosophy actually meant by looking at how it was realized in his life—for example, in his relationships with the amazing Mary Wollstonecraft and the daughter they had, Mary Shelley, who wrote Frankenstein.  When students meet classical utilitarianism only through one or another stylized argument (often not one that was actually made by the great utilitarians), as in the popular “Trolley cases,” they do not gain a good sense of the resources of the utilitarian perspective, of its potential as a change agent.  Thus, much of what people today champion as a many-sided liberal education—the kind of education that Martha Nussbaum has done so much to articulate and defend—was in fact defended by such figures as Mill and Sidgwick, on utilitarian grounds.  They loved and promoted the humanities, and often criticized the universities for failing to support philosophy, literature, and the arts, as well as for failing to open up educational opportunities for all.  On these topics and others, we still have much to learn from them.

What is your biggest worry or regret about your book?

Naturally, I wish that I could have spent another ten years on it—there is still so much research to do, especially on Bentham.  Also, it breaks my heart that Derek Parfit, who died on January 1st, will not around to read the final published version.  He read various drafts, especially of the chapter on Sidgwick, and was very, very supportive and helpful, as he always has been.  My first major publication was an article contributed to the 1986 Ethics symposium on Reasons and Persons, an article to which he wrote a Reply, and I think that from that time to this I have never published anything without wondering what he would think of it—and fortunately, very often finding out, since he was so generous in his comments.  Some of my more recent work was devoted to On What Matters.  And I was profoundly honored to include him in the book symposium that I edited on Kasia de Lazari-Radek and Peter Singer’s recent book, The Point of View of the Universe.  Readers familiar with Derek’s work will see how parts of my Sidgwick chapter, relating to personal identity and other issues, are addressed to some of the points that he made about Sidgwick.  I once remarked to him that I thought his work was ultimately more about reasons, and mine more about persons, in the full biographical sense.  But really, he was the one who, with J. B. Schneewind, gave me the confidence and courage to pursue my Sidgwick studies, which in turn led to this book.  I am glad to have this opportunity to explain just how much I owe to both of them.

Bart Schultz is senior lecturer in the humanities and director of the Civic Knowledge Project at the University of Chicago. He is the author of The Happiness Philosophers: The Lives and Works of the Great Utilitarians.

Oscar Fernandez: A Healthier You is Just a Few Equations Away

This post appears concurrently on the Wellesley College Summer blog.

How many calories should you eat each day? What proportion should come from carbohydrates, or protein? How can we improve our health through diets based on research findings?

You might be surprised to find that we can answer all of these questions using math.  Indeed, mathematics is at the heart of nutrition and health research. Scientists in these fields often use math to analyze the results from their experiments and clinical trials.  Based on decades of research (and yes, math), scientists have developed a handful of formulas that have been proven to improve your health (and even help you lose weight!).

So, back to our first question: How many calories should we eat each day?  Let’s find out…

Each of us has a “total daily energy expenditure” (TDEE), the total number of calories your body burns each day. Theoretically, if you consume more calories than your TDEE, you will gain weight. If you consume less, you will lose weight. Eat exactly your TDEE in calories and you won’t gain or lose weight.

“Great! So how do I calculate my TDEE?” I hear you saying. Good question. Here’s a preliminary answer:

TDEE = RMR + CBE + DIT         (1)                                                                                                                                                                  

Here’s what the acronyms on the right-hand side of the equation mean.

  • RMR: Your resting metabolic rate, roughly defined as the number of calories your body burns while awake and at rest
  • CBE: The calories you burned during the day exercising (including walking)
  • DIT: Your diet’s diet-induced thermogenesis, which quantifies what percentage of calories from dietary fat, protein, and carbohydrates are left over for your body to use after you ingest those calories

So, in order to calculate TDEE, we need to calculate each of these three components. This requires very precise knowledge of your daily activities, for example: what exercises you did, how many minutes you spent doing them, what foods you ate, and how much protein, carbohydrates, and dietary fat these foods contained. Luckily, nutrition scientists have developed a simpler formula that takes all of these factors into account:

    TDEE = RMR(Activity Factor) + 0.1C.         (2)

Here C is how many calories you eat each day, and the “Activity Factor” (below) estimates the calories you burn through exercise:


Level of Activity Activity Factor
Little to no physical activity 1.2
Light-intensity exercise 1-3 days/week 1.4
Moderate-intensity exercise 3-5 days/week 1.5
Moderate- to vigorous-intensity exercise 6-7 days/week 1.7
Vigorous daily training 1.9


As an example, picture a tall young man named Alberto. Suppose his RMR is 2,000 calories, that he eats 2,100 calories a day, and that his Activity Factor is 1.2. Alberto’s TDEE estimate from (2) would then be

TDEE = 2,000(1.2) + 0.1(2,100) = 2,610.

Since Alberto’s caloric intake (2,100) is lower than his TDEE, in theory, Alberto would lose weight if he kept eating and exercising as he is currently doing.

Formula (2) is certainly more user-friendly than formula (1). But in either case we still need to know the RMR number. Luckily, RMR is one of the most studied components of TDEE, and there are several fairly accurate equations for it that only require your weight, height, age, and sex as inputs. I’ve created a free online RMR calculator to make the calculation easier: Resting Metabolic Heart Rate. In addition, I’ve also created a TDEE calculator (based on equation (2)) to help you estimate your TDEE: Total Daily Energy Expenditure.

I hope this short tour of nutrition science has helped you see that mathematics can be empowering, life-changing, and personally relevant. I encourage you to continue exploring the subject and discovering the hidden math all around you.

Oscar E. Fernandez is assistant professor of mathematics at Wellesley College. He is the author of Everyday Calculus: Discovering the Hidden Math All around Us and The Calculus of Happiness: How a Mathematical Approach to Life Adds Up to Health, Wealth, and Love. He also writes about mathematics for the Huffington Post and on his website,


Oscar E. Fernandez on The Calculus of Happiness

FernandezIf you think math has little to do with finding a soulmate or any other “real world” preoccupations, Oscar Fernandez says guess again. According to his new book, The Calculus of Happiness, math offers powerful insights into health, wealth, and love, from choosing the best diet, to finding simple “all weather” investment portfolios with great returns. Using only high-school-level math (precalculus with a dash of calculus), Fernandez guides readers through the surprising results. He recently took the time to answer a few questions about the book and how empowering mathematics can be.

The title is intriguing. Can you tell us what calculus has to do with happiness?

Sure. The title is actually a play on words. While there is a sprinkling of calculus in the book (the vast majority of the math is precalculus-level), the title was more meant to convey the main idea of the book: happiness can be calculated, and therefore optimized.

How do you optimize happiness?

Good question. First you have to quantify happiness. We know from a variety of research that good health, healthy finances, and meaningful social relationships are the top contributors to happiness. So, a simplistic “happiness equation” is: health + wealth + love = happiness. This book then does what any good applied mathematician would do (I’m an applied mathematician): quantify each of the “happiness components” on the left-hand side of the equation (health, wealth, and love), and then use math to extract valuable insights and results, like how to optimize each component.

This process sounds very much like the subtitle, how a mathematical approach to life adds up to health, wealth, and love. But just to be sure, can you elaborate on the subtitle?

That’s exactly right. Often we feel like various aspects of our lives are beyond our control. But in fact, many aspects of our lives, including some of the most important ones (like health, wealth, and love), follow mathematical rules. And by studying the equations that emerge from these rules you can quickly learn how to manipulate those equations in your favor. That’s what I do in the book for health, wealth, and love.

Can you give us some examples/applications?

I can actually give you about 30 of them, roughly the number discussed in the book. But let me focus on my three favorite ones. The first is what I called the “rational food choice” function (Chapter 2). It’s a simple formula: divide 100 calories by the weight (say, in grams) of a particular food. This yields a number whose units are calories per gram, the units of “energy density.” Something remarkable then happens when you plot the energy densities of various foods on a graph: the energy densities of nearly all the healthy foods (like fruits and vegetables) are at most about 2 calories per gram. This simple mathematical insight, therefore, helps you instantly make healthier food choices. And following its advice, as I discuss at length in the book, eventually translates to lower risk for developing heart disease and diabetes, weight loss, and even an increase in your life span! The second example comes from Chapter 3; it’s a formula for calculating how many more years you have to work for before you can retire. Among the formula’s many insights is that, in the simplest case, this magic number depends entirely on the ratio of how much you save each year to how much you spend. And the formula, being a formula, tells you exactly how changing that ratio affects your time until retirement. The last example is based on astronomer Frank Drake’s equation for estimating the number of intelligent civilizations in our galaxy (Chapter 5). It turns out that this alien-searching equation can also be used to estimate the number of possible compatible partners that live near you! That sort of equates a good date with an intelligent alien, and I suppose I can see some similarities (like how rare they are to find).

The examples you’ve mentioned have direct relevance to our lives. Is that a feature of the other examples too?

Absolutely. And it’s more than just relevance—the examples and applications I chose are all meant to highlight how empowering mathematics can be. Indeed, the entire book is designed to empower the reader—via math—with concrete, math-backed and science-backed strategies for improving their health, wealth, and love life. This is a sampling of the broader principle embodied in the subtitle: taking a mathematical approach to life can help you optimize nearly every aspect of your life.

Will I need to know calculus to enjoy the book?

Not at all. Most of the math discussed is precalculus-level. Therefore, I expect that nearly every reader will have studied the math used in the book at some point in their K-12 education. Nonetheless, I guide the reader through the math as each chapter progresses. And once we get to an important equation, you’ll see a little computer icon next to it in the margin. These indicate that there are online interactive demonstrations and calculators I created that go along with the formula. The online calculators make it possible to customize the most important formulas in the book, so even if the math leading up to them gets tough, you can still use the online resources to help you optimize various aspects of health, wealth, and love.

Finally, you mention a few other features of the book in the preface. Can you tell us about some of those?

Sure, I’ll mention two particular important ones. Firstly, at least 1/3 of the book is dedicated to personal finance. I wrote that part of the book to explicitly address the low financial literacy in this country. You’ll find understandable discussions of everything from taxes to investing to retirement (in addition to the various formulas derived that will help you optimize those aspects of your financial life). Finally, I organized the book to follow the sequence of math topics covered in a typical precalculus textbook. So if you’re a precalculus student, or giving this book to someone who is, this book will complement their course well. (I also included the mathematical derivations of the equations presented in the chapter appendixes.) This way the youngest readers among us can read about how empowering and applicable mathematics can be. It’s my hope that this will encourage them to continue studying math beyond high school.

Oscar E. Fernandez is assistant professor of mathematics at Wellesley College and the author of Everyday Calculus: Discovering the Hidden Math All around Us and The Calculus of Happiness: How a Mathematical Approach to Life Adds Up to Health, Wealth, and Love.

Are You Happy Now?

Happiness today is not just a possibility or an option but a requirement and a duty. To fail to be happy is to fail utterly. Happiness has become a religion–one whose smiley-faced god looks down in rebuke upon everyone who hasn’t yet attained the blessed state of perpetual euphoria. How has a liberating principle of the Enlightenment–the right to pursue happiness–become the unavoidable and burdensome responsibility to be happy? How did we become unhappy about not being happy–and what might we do to escape this predicament? In Perpetual Euphoria, Pascal Bruckner takes up these questions with all his unconventional wit, force, and brilliance, arguing that we might be happier if we simply abandoned our mad pursuit of happiness.

A stimulating and entertaining meditation on the unhappiness at the heart of the modern cult of happiness, Perpetual Euphoria is a book for everyone who has ever bristled at the command to “be happy.”

Pascal Bruckner is the award-winning author of many books of fiction and nonfiction, including the novel Bitter Moon, which was made into a film by Roman Polanski. Bruckner’s nonfiction books include The Tyranny of Guilt (Princeton), The Temptation of Innocence, and The Tears of the White Man (Free Press).

We invite you to read the introduction online:

Perpetual Euphoria:
On the Duty to Be Happy

By Pascal Bruckner
Translated by Steven Rendall