Women Scientists From The United States

"I first used the phrase "narrative medicine" in [the year] 2000 to refer to clinical practice fortified by narrative competence-- the capacity to recognize, absorb, metabolize, interpret and be moved by the stories of illness."

"This isn't just about being a nice doctor or having a nice bedside manner. It's hearing and taking responsibility for improving access and equity, because it's in our power to do this."

"Radical listening is the effort to be present, to bear witness, and to listen without your biases and assumptions. It's about curiosity, not judgment."

"I think my duty is to promote two things in my students: creativity and doubt....The creative person is able to venture into the unknown....And to tolerate doubt both requires and generates creativity. It's when you're out there, off the shore of the known, that you have to create."

"I meet with lots of pre-medical students now, and they show me their personal statement to get into medical school. They read the statement. It's all about wanting to help people, integrated care, and justice. I have to say "What about the science? Does the science interest you? Because if it doesn't, you're not going to do well.""

"...the biggest challenge I had was to convince people that I wanted to listen to whatever they said. One lady said, "You mean you want me to talk?""

"What do I do with the paradoxes, the ambiguities, the contradictory stories from a family member, the gaps in memory, the fact that the stories change from month to month? What do I do with my doubt about the meaning of what I am hearing?"

"If you want some adventure, if you want to work hard, if you want to do work with teams, if you want to see an idea from conception through its ultimate goal, science is a wonderful field to work in. It is highly rewarding."

"Natural selection, it seems, often smiles on strumpets. Sorry, boys."

"Sex is any process that mixes genes from different individuals."

"Evolution does not obey human notions of morality, nor is human morality a reflection of some natural law. The deadly sins would be different if they mirrored evolutionary no-no’s. Lust, for one, would be deemed a virtue; chastity would be deplored."

"Indeed, natural selection discriminates against well-behaved losers."

"I’m afraid that females in many species often provoke males into fighting over them. When the mood strikes, they make themselves conspicuous—then stand back and watch the battle, before mating with the winner."

"You’ve just got a case of SINBAD: Single Income, No Babe, Absolutely Desperate."

"If a proclivity for promiscuity is genetic, then yes, promiscuous behavior will become more common if loose females tend to have more children than their monogamous peers. That’s how natural selection works."

"Boys, I’m afraid the way to a woman’s bed is often through her stomach."

"As we shall see, when females mate with more than one male, War capers nimbly through the boudoirs, imps of discord frolicking in his wake."

"The battle of the sexes is no myth. Success at sexual reproduction is at the heart of the evolutionary process. But greater success for her often means less success for him. The upshot? An eternal war—and an astounding diversity of strategies."

"Surface tension is commonly thought of as a fluid phenomenon; the mere mention of the term brings to mind bugs skimming over water, liquids rising or falling in capillary tubes—and soap films and soap bubbles. But there is in fact a notion of surface tension (which is surface energy per unit surface area) for the interface between any two substances, or even between one substance and a vacuum. This surface energy arises from the fact that atoms (or molecules, or ions) of a given substance have a different environment at the interface between that substance and another than those in the bulk of the substance. (Sometimes even the composition of the surface is different from the bulk; this occurs for instance in soapy water having an interface with air.)"

"Our first meeting in person took place at the IMU Congress in Nice in the summer of 1970. Together with my friend and collaborator András Hajnal we were eager to meet her, and this happened right after she arrived in Nice. Her first sentence to us was “I just proved that there is a Dowker space;” i.e., a normal space whose product with the unit interval is not normal. To appreciate the weight of this sentence, one should know that this meant she solved the most important open problem of general topology of the 1960s."

"A space has the shrinking property if, for every open cover {Va | a ∈ A}, there is an open cover {Wa | a ∈ A} with for each a ∈ A. lt is strangely difficult to find an example of a normal space without the shrinking property. It is proved here that any ∑-product of metric spaces has the shrinking property."

"Geometric topology was really the dominant new topological theme in the 1950's and differential topology in the 1960's. Algebraic topology did not take a back seat in either development. But something happened in the 1960's which had profound effect upon the part of topology we are concerned with. ... Paul Cohen proved that it is consistent with the usual axioms for set theory that the continuum hypothesis be false. In itself this theorem has few consequence in topology for there is very little one can do with not-CH alone. But the technique of proof, called forcing, has translations into Boolean algebra terms, into partial order terms, into terms which lead to remarkable combinatorial statements which are applicable to a wide variety of topological problems related to abstract spaces."

"The purpose of this paper is to construct (without using any set theoretic conditions beyond the axiom of choice) a normal Hausforff space X whose Cartesian product with the closed unit interval I is not normal. Such a space is often called a Dowker space. The question of the existence of such a space is an old and natural one ..."

"Souslin's conjecture sounds simple. Anyone who understands the meaning of countable and uncountable can "work" on it. It is in fact very tricky. There are standard patterns one builds. There are standard errors in judgement one makes. And there are standard not-quite-counter-examples which almost everyone who looks at the problem happens upon. S. Tennenbaum and others have shown that that it is consistent with the axioms of Zermelo-Fraenkel set theory that Souslin's conjecture be either true or false."

"A surface free energy function is defined to be crystalline if its Wulff shape (the equilibrium crystal shape) is a polyhedron. All the questions that one considers for the area functional, where the surface free energy per unit area is 1 for all normal directions, can be considered for crystalline surface free energies. Such questions are interesting for both mathematical and physical reasons. Methods from the geometric calculus of variations are useful for studying a number of such questions; a survey of some of the results is given."

"The subject of motion by crystalline curvature is of interest for three quite distinct reasons. One is that some physical surface energies and physical models of crystal growth simply do give rise to such motion. Another is its use as a way to approximate motion of curves by curvature, both for computation and possibly for proving theorems. The third is that this motion simply is interesting and beautiful in its own right, having results that sometimes parallel those for ordinary curvature and sometimes are strikingly different."

"Item: Retirement party for Joanne Elliott. One of my (male) colleagues reminisced about seeing Joanne as an attractive young woman in the common room at Princeton surrounded by young men eager to be near her. The comment made me very uncomfortable, since it placed emphasis on her attractiveness in a setting where conversations are often mathematical. If only the men had been clustered around her because they were eager to hear her theorems and conjectures! But at least as the story was related, that was not the case."

"Grain boundaries and surfaces of crystalline materials have a surface free energy which in general depends on the normal direction of the interface relative to the crystal lattice(s). Determining the surface energy minimizing configurations of such interfaces, for a given surface free energy function, is an interesting mathematical problem; it reduces in the case of isotropic (i.e. constant) surface energy to the minimal surface problem. A first step is to classify minimizing cones, since they can arise as tangent cones to minimizing or asymptotically minimizing surfaces. In the isotropic case for two-dimensional surfaces in R^3, the only minimizing cones are planes. For anisotropic surface energy functions, we give here a catalog of 12 types of embedded minimizing cones, and prove that it is a complete catalog among embedded minimizing crystalline cones ..."

"In this paper, we shall show the validity of an iterative procedure suggested by George W. Brown ... This method corresponds to each player choosing in turn the best pure strategy against the accumulated mixed strategy of his opponent up to then."

"In Julia Robinson we find a mathematician who was a heroine in her own time and a role model for all time. It is a story of childhood, illness, love, marriage, disappointment, obsession, and triumph."

"Notices: Can you tell me your memories of Julia Robinson, what she was like as a person? Davis: Very nice, very straightforward. Broad in her interests, mathematical and otherwise. And great power—there is no question in my mind that she was a much more powerful mathematician than I. We worked together on a problem on which we didn’t get anywhere. We were trying to prove the unsolvability of the decision problem for word equations. It turned out that we wouldn’t have been able to do that because the problem is solvable. Makanin solved it positively."

"And I continued to struggle with the Tenth Problem. In 1961 Martin Davis, Hilary Putnam, and I published a joint paper, "The undecidability of exponential diophantine equations," which used ideas from the papers Martin and I had presented at the International Congress along with various new results. The paper contains what is sometimes referred to as the Robinson hypothesis (or, as Martin calls it, "J.R.") to the effect that if there were some diophantine relation that grew faster than an exponential but not too terribly fast—less than some function could be expressed in exponentials—then we would be able to define exponentiation. It would follow from the definition that exponential diophantine equations would be equivalent to diophantine equations and that, therefore, the solution to Hilbert's tenth problem would be negative. At the time many people told Martin that this approach was misguided, to say the least. They were more polite to me."

"We say a mathematical theory is decidable if there is an effective method of determining the validity of each statement of the theory. If there is no such method, the theory is undecidable. It is clear that if there is a mechanical way of transforming each statement of an undecidable theory into an equivalent statement of another theory, the second theory is also undecidable. This principle, together with the fact that the arithmetic of natural numbers is undecidable, enables us to solve the decision problem for fields of finite degree over the rationals."

"Extraordinary claims require extraordinary evidence, and it is my job, my responsibility, as an astronomer to remind people that alien hypotheses should always be a last resort."

"We need to make decisions that make us less consumptive and reduce our reliance on nitrogen. It's like a carbon footprint. But you can reduce your nitrogen footprint. I do it by not eating much meat -- I still like a little every now and then -- not using corn oil, driving a car that I can put nonethanol gas in and get better gas mileage. Just things like that that can make a difference. So I'm challenging, not just you, but I challenge a lot of people, especially in the Midwest -- think about how you're treating your land and how you can make a difference. So my steps are very small steps. To change the type of agriculture in the US is going to be many big steps. And it's going to take political and social will for that to happen. But we can do it. I strongly believe we can translate the science, bridge it to policy and make a difference in our environment. We all want a clean environment."

"My family was always interested in nature, and that made me curious about it too – we liked to learn about birds and plants and rocks together. It was really fun! In every bird, plant, or rock, there’s a great story waiting to be learned – it’s like watching a really interesting movie or reading a great book. Now, as a professional scientist, it’s my job to learn things about nature. Every day is different from the next, and there’s always something wonderful to learn about the universe and the world around us."

"I'd say that getting started on research early as an undergraduate makes a big difference. If, like me, you don't come from a family background in this area, there are so many exciting things to work on that I knew little about. Undergraduate research upended my preconceived notions of what work in space research is like. I had no idea about what jobs even existed. Working in industry can also be a tremendously valuable experience. Systems engineering work provides a great overview of how spacecraft are built and operated, and seeing the teamwork and cameraderie is inspiring. Teamwork is essential to making missions work; it's like being part of a band or a sports team in that regard. A successful space mission represents hundreds or even thousands of people working together for a common goal, so building teamwork skills is a good idea."

"I think we should be snorkeling and swimming on reefs. Because I think people only develop a passion for protecting things if they know what is at risk. I would hardly be one to say that we shouldn’t go near them. That said, its important to manage tourism properly. If you have a lot of people going onto reefs, stepping on reefs, collecting things from reefs, breaking corals off, or throwing anchors on top of reefs, that’s not good. It’s important to properly manage the numbers of people and their behavior when they’re in water. It’s also important to make sure that the hotels that support that tourism have good water treatment for the sewage that they release, and that they aren’t also feeding this large population of visitors critically important reef fish. That is ecologically sound tourism. But you can’t just let it develop willy-nilly. It has to be managed carefully. Otherwise, you end up with lots of people and not much reef."

"No man ever looks at the world with pristine eyes. He sees it edited by a definite set of customs and institutions and ways of thinking."

"The tough-minded are content that differences should exist. They respect differences. Their goal is a world made safe for differences, where the United States may be American to the hilt without threatening the peace of the world, and France may be France, and Japan may be Japan on the same conditions."

"Racism is the dogma that one ethnic group is condemned by nature to congenital inferiority and another group is destined to congenitial superiority."

"In world history, those who have helped to build the same culture are not necessarily of one race, and those of the same race have not all participated in one culture. In scientific language, culture is not a function of race."

"Our children are not individuals whose rights and tastes are casually respected from infancy, as they are in some primitive societies . . . . They are fundamentally extension of our own egos and give a special opportunity for the display of authority."

"From the moment of his birth the customs into which [an individual] is born shape his experience and behavior. By the time he can talk, he is the little creature of his culture."

"The best thing people can do is to stop assuming that insects don’t belong on this planet and that it’s our job to destroy them. Insects have lived on Earth far longer than humans have, in many more different places, and they’ve found at least a million different ways to make a living here—we’re living on their planet, not the other way around. My hope is not that everyone will become an entomologist but that more people will appreciate insects for their amazing diversity and adaptability."

"Scientific knowledge helps people to understand and appreciate the world and all of its complexities; it’s the best insurance against irrational fear."

"I don't expect people to become entomologists or even necessarily to love bugs, but at least to think before reflexively stepping on them. They are just capable of the most amazing things, and many of the things that they do we couldn't survive on this planet without them doing."

"The communist horizon appears closer than it has in a long time. The illusion that capitalism works has been shattered by all manner of – and we see it everywhere. The fantasy that democracy exerts a force for economic justice has dissolved as the US government funnels trillions of dollars to banks and the European central banks rig national governments and cut social programs in order to keep themselves afloat. With our desiring eyes set on the communist horizon, we can now get to work on collectively shaping a world that we already make in common."

"are the first generation of US Americans to have life prospects worse than their parents. The astronomical means that many young people put off the major purchases and life events linked to adulthood in the US -- buying a car or a house, getting married. At the same time, in highly populated cities like San Francisco, LA, Seattle, and NYC, rents are out of control. And we don’t have national healthcare. So paying for the basics of everyday life has become impossible. And we are told repeatedly that is in crisis and won’t survive. As one young person told me: 'My retirement program is socialism'."

"The US right calls everything it doesn’t like 'communist'. They call Clinton and Obama 'communists'. With 'communist' as the go-to name for anything that isn't , its acceptability increases. If you don't like the right, you're a communist."