Academics From The United States

"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."

"If one has really technically penetrated a subject, things that previously seemed in complete contrast, might be purely mathematical transformations of each other."

"You wake me up early in the morning to tell me that I'm right? Please wait until I'm wrong."

"With four parameters I can fit an elephant, and with five I can make him wiggle his trunk."

"The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking."

"The goys have proven the following theorem…"

"You don't have to be responsible for the world that you're in."

"Young man, in mathematics you don't understand things. You just get used to them."

"You should call it entropy, for two reasons. In the first place your uncertainty function has been used in statistical mechanics under that name, so it already has a name. In the second place, and more important, no one really knows what entropy really is, so in a debate you will always have the advantage."

"It is just as foolish to complain that people are selfish and treacherous as it is to complain that the magnetic field does not increase unless the electric field has a curl. Both are laws of nature."

"When we talk mathematics, we may be discussing a secondary language built on the primary language of the nervous system."

"It is exceptional that one should be able to acquire the understanding of a process without having previously acquired a deep familiarity with running it, with using it, before one has assimilated it in an instinctive and empirical way… Thus any discussion of the nature of intellectual effort in any field is difficult, unless it presupposes an easy, routine familiarity with that field. In mathematics this limitation becomes very severe."

"The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work."

"A large part of mathematics which becomes useful developed with absolutely no desire to be useful, and in a situation where nobody could possibly know in what area it would become useful; and there were no general indications that it ever would be so. By and large it is uniformly true in mathematics that there is a time lapse between a mathematical discovery and the moment when it is useful; and that this lapse of time can be anything from 30 to 100 years, in some cases even more; and that the whole system seems to function without any direction, without any reference to usefulness, and without any desire to do things which are useful."

"The total subject of mathematics is clearly too broad for any one of us. I do not think that any mathematician since Gauss has covered it fully and uniformly, even Hilbert did not, and all of us are of considerably lesser width (quite apart from the question of depth) than Hilbert. It would therefore, be quite unrealistic not to admit, that any address I could possibly give would not be biased towards some areas in mathematics in which I have had some experience, to the detriment of others which may be equally or more important. To be specific, I could not avoid a bias towards those parts of analysis, logics, and certain border areas of the applications of mathematics to other sciences in which I have worked. If your Committee feels that an address which is affected by such imperfections still fits into the program of the Congress, and if the very generous confidence in my ability to deliver continues, I shall be glad to undertake it."

"Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. For, as has been pointed out several times, there is no such thing as a random number — there are only methods to produce random numbers, and a strict arithmetic procedure of course is not such a method."

"For progress there is no cure.... The only safety possible is relative, and it lies in an intelligent exercise of day-to-day judgement."

"I think that it is a relatively good approximation to truth — which is much too complicated to allow anything but approximations — that mathematical ideas originate in empirics. But, once they are conceived, the subject begins to live a peculiar life of its own and is … governed by almost entirely aesthetical motivations. In other words, at a great distance from its empirical source, or after much "abstract" inbreeding, a mathematical subject is in danger of degeneration. At the inception the style is usually classical; when it shows signs of becoming baroque, then the danger signal is up. It would be easy to give examples, to trace specific evolutions into the baroque and the very high baroque... Whenever this stage is reached the only remedy seems to me to be the rejuvenating return to the source: the reinjection of more or less directly empirical ideas."

"New technologies (reinforced by new trade rules) are enhancing the market power of incumbent, dominant firms, such as Microsoft, which are all from the developed world; for the first time, in a key global industry, there is a near-global monopolist."

"From conversations, I became convinced that people who counterfactual upwards (i.e., compare themselves to those richer) want to actively dispossess the rich. As with all communist movements, it is often the bourgeois or clerical classes who are the early adopters of revolutionary theories. So class envy doesn’t originate from a truck driver in South Alabama, but from a New York or Washington, D.C., Ivy League–educated IYI [Intellectual Yet Idiot] (say Paul Krugman or Joseph Stiglitz) with a sense of entitlement, upset some “less smart” persons are much richer."

"Most economists now recognize climate change as a market failure, but only a few understand it as part of the larger pattern of environmental destruction that scientists have labelled the 'Great Acceleration'. Capitalism as currently practised has imperilled the existence of millions of planetary species, as well as the health and well-being of billions of humans. It also threatens the prosperity that it was intended to create. Challenging 250 years of dominant economic thinking, the climate crisis has shown that the unrestrained pursuit of self-interest does not serve the common good. It has shown, in the words of economist Joseph Stiglitz, that Adam Smith's invisible hand - the idea that free markets lead to efficiency as if consciously guided - is invisible because it is not there'."

"To allow arcane trade law, which has been negotiated with scant public scrutiny, to have this kind of power over an issue so critical to humanity's future is a special kind of madness. As Nobel Prize-winning economist Joseph Stiglitz puts it, "Should a group of foolish lawyers, who put together something before they understood these issues, interfere with saving the planet?" Clearly not."

"I recently told Joe Stiglitz how much I admire him. I really think he’s so exemplary, not just because he’s smart but because of what he did in the Clinton administration and what he did at the World Bank. When he won the Nobel Prize, all he talked about to any reporter who asked him questions was that the real problem is world poverty. When I first met him, Dunlop insisted on the young radicals getting together with the real smart guys who were not the radicals, and Stiglitz was one of them. So we got together for lunch at the Harvard Faculty Club. It was a little strained at first, but we had a nice talk, and I finally said to Stiglitz, “Listen Joe, do you really believe that the interest rate is the intersection of the supply and demand for capital?” I said exactly that, and he said, “Yes, I believe that.” So twenty years later I said to him, “Listen Joe, you really threw me a curve ball when you told me you believed this.” I thought if this is what the smartest people in the profession believe, I’m not going to even talk to them; meanwhile he totally revolutionizes capital theory along the lines that supply and demand don’t determine interest rates! Either his views changed, or he was being “in your face” to me."

"My final criticism is that Stiglitz's book is carelessly written. Stiglitz was—and perhaps still is—an outstanding economic theorist. But he has been producing big, loosely argued books. The laudable aim behind them is to inform a broader audience about economic policies that could make the world a better place, certainly with better lives for the poor, and such advocacy has its place in moving people to action. But he lacks the eloquence, urgency, and passion of the preacher, while he has too often abandoned the rigor of the scientist. In my view, he has not yet found a style suitable to the popular exposition of his economic ideas."

"For much of the world, globalization as it has been managed seems like a pact with the devil. A few people in the country become wealthier; GDP statistics, for what they are worth, look better, but ways of life and basic values are threatened. For some parts of the world the gains are even more tenuous, the costs more palpable. Closer integration into the global economy has brought greater volatility and insecurity, and more inequality. It has even threatened fundamental values. This is not how it has to be. We can make globalization work, not just for the rich and powerful but for all people, including those in the poorest countries. The task will be long and arduous, We have already waited far too long. the time to begin is now."

"In the long run, the most important changes required to make globalization work are reforms to reduce the democratic deficit."

"The IMF has been encouraging, sometimes even forcing (as condition of assistance), countries to have their central banks focus only on inflation. Europe succumbed to these doctrines. Today, throughout Euroland, there is unhappiness as the European Central Bank pursues a monetary policy that, while it may do wonders for bond markets by keeping inflation low and bond prices high, has left Europe's growth and employment in shambles."

"The global financial system is not working well, and it is especially not working well for developing countries. Money is flowing uphill, from the poor to the rich. [...] With nearly two-thirds of reserves being held in dollars, the United States is, in this sense, the major recipient of these benefits. If the interest rate America has to pay is just one percentage point lower than it otherwise would be on these $3 trillion of loans from poor countries, what America received from the developing countries via the global reserve system is more than it gives to the developing countries in aid."

"The problem is easy to state: developing countries borrow too much—or are lent too much—and in ways that force them to bear most or all of the risk of subsequent increases in interest rates, fluctuations in the exchange rate, or decreases in income. Given this, it is not surprising that they often cannot repay what is owed."

"Limited liability should not be sacrosanct. Like property rights—including intellectual property—it is a creation of man, to provide appropriate incentives; when that artifice fails to fulfill its social function, it needs to be modified."

"Perhaps the most successful global monopoly is Microsoft, which has succeeded in gaining global market power not only in PC operating systems but in key applications such as browsers. [...] Microsoft's monopoly power leads not only to higher prices but to less innovation. [...] The failure to develop a global approach to global cartels and monopolies is yet another instance of economic globalization outpacing political globalization."

"I have argued that simply as a matter of fairness in trade, it is intolerable for one country to provide, in effect, emission subsidies to its firms. [...] Europe must use the foundations of the international trade law we have created to force any recalcitrant country, any rogue state—including the United States—to behave responsibly."

"The natural resource curse is not fate; it is choice. The exploitation of natural resources is an important part of globalization today, and in some ways the failures of the resource-rich developing countries are emblematic of globalization's failures."

"The job of the Western trade negotiators is to get a better trade deal for their country's interests—for example, gaining more market access and stronger intellectual property rights—without giving up agriculture subsidies or nontariff trade barriers. Fairness is not in the lexicon of these trade negotiators."

"TRIPs imposed on the entire world the dominant intellectual property regime in the United States and Europe, as it is today. I believe that the way that intellectual property regime has evolved is not good for the United States and the EU; but even more, I believe it is not in the interest of the developing countries."

"Intellectual property does not really belong in a trade agreement."

"One of the reasons that basic research is advanced most by not resorting to intellectual property is that while doing so would have questionable benefits, the costs are apparent. [...] Interestingly, even in software, this system of open collaboration has worked. Today we have the Linux computer operating system, which is also based on the principle of open architecture."

"Innovation is important; it has transformed the lives of everyone in the world. And intellectual property laws can and should play a role in stimulating innovation. However, the contention that stronger intellectual property rights always boost economic performance is not in general correct. It is an example of how special interests—those who benefit from stronger intellectual property rights—use simplistic ideology to advance their causes."

"If there is to be support for trade globalization in the developed world, we must make sure that the benefits and costs are more evenly shared, which will entail more progressive income taxation."

"The era of multilateral trade liberalization seems to be nearing an end (at least for a while), as well-founded disillusionment in the developing countries combines with growing protectionist sentiment in the developed world."

"The United States and Europe have perfected the art of arguing for free trade while simultaneously working for trade agreements that protect themselves against imports from developing countries. [...] Western negotiators almost take it for granted that they can control what gets discussed, and determine the outcomes."

"In part, free trade has not worked because we have not tried it: trade agreements of the past have been neither free nor fair. They have been asymmetric, opening up markets in the developing countries to goods from the advanced industrial countries without full reciprocation."

"In debate, one randomly was assigned to one side or the other. This had at least one virtue — it made one see that there was more than one side to these complex issues."

"My teachers helped guide and motivate me; but the responsibility of learning was left with me."

"There must have been something in the air of Gary that led one into economics: the first Nobel Prize winner, Paul Samuelson, was also from Gary, as were several other distinguished economists... Certainly, the poverty, the discrimination, the episodic unemployment could not but strike an inquiring youngster: why did these exist, and what could we do about them."

"The answer that socialism provided to the age-old question of the proper balance between the public and the private can now, from our current historical perspective, be seen to have been wrong. But if it was based on wrong, or at least incomplete, economic theories, theories that are quickly passing into history, it was also based on ideals and values many of which are eternal. It represented a quest for a more humane and a more egalitarian society."

"By changing the locus of caring and responsibility from the individual to the government not only for the needy, but for oneself, one's parents, one's children we change society and we change ourselves. Here again we see a certain irony: Attempts to improve society by having the government undertake a greater role in redistribution, may ultimately through their effects on individuals and the nature of the social contract have more ambiguous consequences."

"Competition is important, not only because of its ability to promote economic efficiency but also because of the zest that it gives to life. Here we encounter one of the many ambivalences that characterizes our views about market economies: Competition is good, but we have our doubts about excessive competition. We encourage cooperation within teams but competition among them. We frown upon people who are excessively competitive. Yet the competitive market environment may encourage and bring out these aspects of individuals' personalities. If ruthlessly competitive people are successful, such behavior may be imitated. At the same time those who are (excessively) cooperative may be taken advantage of, derogated as pansies. Accordingly such behavior will be discouraged."

"As I argued earlier, I view competition as far more important than privatization."

"Privatization is, at best, only a partial solution. Privatizations in which vouchers are given, and there is not a recapitalization, do not address this problem at all. Privatizations in which the firm is sold are likely, in the presence of limited competition for the firm, to provide an underestimate of the true value of the firm's assets. Accordingly good performance, based on this undervaluation of the firm's assets, does not provide a true measure of the firm's efficiency."