Notable enough, however, are the controversies over the series 1 - 1 + 1 - 1 + 1 - ... whose sum was given by Leibniz as 1/2, although others disagree. ... Understanding of this question is to be sought in the word "sum"; this idea, if thus conceived - namely, the sum of a series is said to be that quantity to which it is brought closer as more terms of the series are taken - has relevance only for convergent series, and we should in general give up the idea of sum for divergent series.
Trump sees the world in terms of a zero-sum game. In reality, globalisation, if well managed, is a positive-sum force: America gains if its friends and allies - whether Australia, the E.U., or Mexico - are stronger. But Trump's approach threatens to turn it into a negative-sum game: America will lose, too.
Sometimes it seems unfair that events so old can reach forward through the years, sinking claws into one's life and twisting all that follows it. Yet perhaps that is the ultimate justice: we are the sum of all we have done added to the sum of all that has been done to us. There is no escaping that, not for any of us.
If she were religious, she would call it the soul. It is more than the sum of her intellect and her emotions, more than the sum of her experiences, though it runs like veins of brilliant metal through all three. It is an inner faculty that recognizes the animating mysteries of the world because it is made of the same substance
This is what I find most magnetic about successful givers: they get to the top without cutting others down, finding ways of expanding the pie that benefit themselves and the people around them. Whereas success is zero-sum in a group of takers, in groups of givers, it may be true that the whole is greater than the sum of the parts.
Globalization is a bottom-up phenomenon with all actions initiated by milions of individuals, the sum total of which is globalization. No one is in charge, and no one can anticipate what the sum of all the individual initiatives will be before the result manifest. A global economy can only be the result of spontaneous order.
Although I have lived through much darkness, I have seen enough evidence to be unshakably convinced that no difficulty, no fear is so great that it can completely suffocate the hope that springs eternal in the hearts of the young... Do not let that hope die! Stake your lives on it! We are not the sum of our weaknesses and failures; we are the sum of the Father's love for us and our real capacity to become the image of his Son.
Pope John Paul II
And isn't that the sum of all love? The whole story of love? Something that takes you by surprise, something that is seen from a distance, and yet recognized instantly and clearly? Something you are scared of your whole life long, and yet, when faced by it, reach for with open arms? And isn't that the story of folly, the sum of it?
Four circles to the kissing come, The smaller are the benter. The bend is just the inverse of The distance from the centre. Though their intrigue left Euclid dumb There's now no need for rule of thumb. Since zero bend's a dead straight line And concave bends have minus sign, The sum of squares of all four bends Is half the square of their sum.
But ultimately I do not believe that she was only matter. The rest of her must be recycled, too. I believe now that we are greater than the sum of our parts. If you take Alaska's genetic code and you add her life experiences and the relationships she had with people, and then you take the size and shape of her body, you do not get her. There is something else entirely. There is a part of her greater than the sum of her knowable parts. And that part has to go somewhere, because it cannot be destroyed
[M]y conception of liberty does not permit an individual citizen or a group of citizens to commit acts of depredation against nature in such a way as to harm their neighbors and especially to harm the future generations of Americans. If many years ago we had had the necessary knowledge, and especially the necessary willingness on the part of the Federal Government, we would have saved a sum, a sum of money which has cost the taxpayers of America two billion dollars.
Franklin D. Roosevelt
It has been said at various points in history that the current sum of human knowledge is but a fraction of that which was once known, yet now is lost. Likewise, it is argued with simple mathematics that any sum of knowledge we may yet accrue must always equate to virtually nothing when compared to the infinity of what is. Apparently our's is a fate of perpetual ignorance. What then is truly lost in the course of human events? (attrib: 'R.I.B. Ushguriud', Note On The Text)
It cannot be said too often that actions are good or bad in the light of consequences, and that a clear perception of consequences would control actions. That which increases the sum of human happiness is moral; and that which diminishes the sum of human happiness is immoral. . . . Blind, unreasoning obedience is the enemy of morality.
Robert Green Ingersoll
However, Nick acted as much as possible under the circumstances, and that was rectifying - it brought with it enjoyment and a working faith. He had not gone counter to the axiom that in a case of doubt one was to hold off; for that applied to choice, and he had not at present the slightest pretension to choosing. He knew he was lifted along, that what he was doing was not first-rate, that nothing was settled by it and that if there was essentially a problem in his life it would only grow tougher with keeping. But if doing one's sum to-morrow instead of to-day does not make the sum easier it at least makes to-day so.
One problem with politics is that it is a zero sum game, i.e. politicians argue how to cut the pie smaller and smaller, by reshuffling pieces of the pie. I think this is destructive. Instead, we should be creating a bigger pie, i.e. funding the science that is the source of all our prosperity. Science is not a zero sum game.
Contemporary consciousness is no longer equipped to deal with our mortality. Never in any other time, or any other civilization, have people thought so much or so contantly about aging. Each individual has a simple view of the future: a time will come when the sum of pleasures that life has left to offer is outweighed by the sum of pain (one can actually feel the meter ticking, and it ticks always in the same direction). This weighing up of pleasure and pain, which everyone is forced to make sooner or later, leads logically, at a certain age, to suicide.
The move from scarcity thinking to abundance thinking, from zero-sum competition to one-hundred-sum collaboration, is not just a "nice" or "moral" idea. In the twenty-first century, it's plain good sense. Scarcity says, "I'm going to keep all my ideas to myself and sell more than anyone else." Abundance says, "By mentoring, coaching, and sharing all our best ideas, we're going to create a powerful tide that raises all our ships-and we'll all sell more as a result.
Private choices are not private; they all have public consequences...Our society is the sum total of what millions of individuals do in their private lives. That sum total of private behavior has worldwide public consequences of enormous magnitude. There are no completely private choices.
James E. Faust
So far as variations in the objective exchange-value of money are foreseen, they influence the terms of credit transactions. If a future fall in the purchasing power of the monetary unit has to be reckoned with, lenders must be prepared for the fact that the sum of money which a debtor repays at the conclusion of the transaction will have a smaller purchasing power than the sum originally lent. Lenders, in fact, would do better not to lend at all, but to buy other goods with their money. The contrary is true for debtors. If they buy commodities with the money they have borrowed and sell them again after a time, they will retain a surplus over and above the sum that they have to pay back. The credit transaction results in a gain for them. Consequently it is not difficult to understand that, so long as continued depreciation is to be reckoned with, those who lend money demand higher rates of interest and those who borrow money are willing to pay the higher rates. If, on the other hand, it is expected that the value of money will increase, then the rate of interest will be lower than it would otherwise have been.
Ludwig von Mises
A movie is made for an audience and a film is made for both the audience and the filmmakers. I think that The Game is a movie and I think Fight Club's a film. I think that Fight Club is more than the sum of its parts, whereas Panic Room is the sum of its parts. I didn't look at Panic Room and think: Wow, this is gonna set the world on fire. These are footnote movies, guilty pleasure movies. Thrillers. Woman-trapped-in-a-house movies. They're not particularly important.