Exponential Quotes & Sayings

But it wasn't just the bird, was it, Teddy thought as he lay in bed waiting for sleep to find him, the nightly oblivion kept at bay by meandering thought. It wasn't just the one lark that had been silenced by Izzie. (A mouthful.) It was the generations of birds that would have come after it and now would never be born. All those beautiful songs that would never be sung. Later in his life he learned the word "exponential," and later still the world "fractal," but for now it was a flock that grew larger and larger as it disappeared into a future that would never be. — Kate Atkinson

Most long-range forecasts of what is technically feasible in future time periods dramatically underestimate the power of future developments because they are based on what I call the "intuitive linear" view of history rather than the "historical exponential" view. — Ray Kurzweil

Recent rampage is a function of the exponential growth of populations and economies. It has to do with globalization and the steady increase in computational power. — Stephanie Mills

Well, the security business has been growing. I think security is one of those areas where it's to some degree not linear but maybe exponential growth. — Sanjay Kumar

There are an estimated 100 billion neurons residing inside the skull with an exponential amount of neural connections — Michio Kaku

Ignorance is not linear, it's exponential. — Spuds Crawford

Anyone who believes that exponential growth can go on forever in a finite world is either a madman or an economist. — Kenneth E. Boulding

The capacity of computers is doubling every eight months. It's exponential development. I think it's a real threat, actually, that a computer one day will be more intelligent than us. — David Lagercrantz

When you think of the exponential speed and scale of expansion of social media or a service, you have to believe that it is equally possible to rapidly transform the lives of those who have long stood on the margins of hope. — Narendra Modi

The Internet, the network of networks, is growing at an exponential pace. It's growing so fast, in fact, nobody really knows how many people use the Internet. — Mitch Kapor

Anyway, so you take your space and hook it into the spaces of others, and it becomes this massive network of hooked profiles and spaced out stuff that gives rise to all kinds of newish social phenomena based on the mathematics of exponential expansion and the science of complexity. — Zubin J. Shroff

The longer I stood there, the longer I had to stand there. It was intricate and exponential. I looked like I was doing nothing, but really I was as busy as a physicist or a politician. I was strategizing my next move. That my next move was always not to move didn't make it any easier. — Miranda July

Instead, over the past thirty years, in the world of action and adventure sports, in situations where asses really were on the line, the bounds of the possible have been pushed further and faster than ever before in history. We've seen near-exponential growth in ultimate human performance, which is both hyperbolic paradox and considerable mystery. Somehow, a generation's worth of iconoclastic misfits have rewritten the rules of the feasible, not just raising the bar but often obliterating it altogether. And this brings up one final question: Where-if anywhere-do our actual limits lie? — Steven Kotler

It is not enough to receive support, no matter, how needed it may be. It is fundamental to know how to receive this support and ensure that its result is exponential. — Kay Rala Xanana Gusmao

We humans think linearly but tech trends are exponential. — Vinod Khosla

There is no doubt that Earth Central, the planetary and sector AIs, and even some ship and drone AIs are capable, without acquiring additional processing space, of setting up synergetic systems within themselves that result in an exponential climb in intelligence (mathematically defined as climbing beyond all known scales within minutes). So why not? Ask then why a human, capable of learning verbatim the complete works of Shakespeare, instead drinks a bottle of brandy, then giggles a lot and falls over. — Neal Asher

The real key to wealth is the gradual accumulation, it's something Jesus talked about I call the law of use and you couple with the exponential curve. — Pat Robertson

Nature normally hates power laws. In ordinary systems all quantities follow bell curves, and correlations decay rapidly, obeying exponential laws. But all that changes if the system is forced to undergo a phase transition. Then power laws emerge-nature's unmistakable sign that chaos is departing in favor of order. The theory of phase transitions told us loud and clear that the road from disorder to order is maintained by the powerful forces of self-organization and is paved by power laws. It told us that power laws are not just another way of characterizing a system's behavior. They are the patent signatures of self-organization in complex systems. — Albert-Laszlo Barabasi

It's impracticable to halt the exponential advancement of technology. — Ben Goertzel

Limited Resources + Increasing Passion = Exponential Innovation — Craig Groeschel

I basically look at how exponential emerging technological changes runs counter-intuitive to the way our linear brains make projections about change, and so we don't realize how fast the future is coming. — Jason Silva

Exponential growth in access to the Internet, satellite television and radio, cell phones, and P.D.A.'s means that breaking news now reaches virtually every corner of the globe. — Dee Dee Myers

If production does not increase in Iraq in an exponential way between now and 2015, we have a very big problem, even if Saudi Arabia meets its obligations. The figures are very simple, you do not need to be an expert. It is enough to know how to do a subtraction. China will grow very quickly, India also, and even Saudi Arabia projections of the 3 Mb/day will not be enough to meet the rise of Chinese demand. — Fatih Birol

Progressive thought is blind when it suggests that there can be no anti-white racism or an anti-semitism among the formerly oppressed or the young people in the projects because they themselves have suffered from this evil. They are the victims; they are exempt from the prejudices that affect the majority of the population. But the reverse is true: racism is multiplying at exponential rates among groups and communities, taboos are collapsing, and everything is explained in terms of physical characteristics, identity, purity, and difference. and this is a racism that is all the more certain that it is right because it is regarded as a legitimate reaction on the part of the persecuted. now we see the obsession with the pedigree and the old distinctions derived from slavery being revived, and prejudices accumulating in the name of racism. This is the end of the concept of humanity as union in diversity and the triumph of human species incompatible with each other. — Pascal Bruckner

Kindness costs us nothing and pays exponential dividends. — Kate Bartolotta

perform the equivalent of all human thought over the last ten thousand years (assumed at ten billion human brains for ten thousand years) in ten microseconds.64 If we examine the "Exponential Growth of Computing" chart (p. 70), we see that this amount of computing is estimated to be available for one thousand dollars by 2080. — Ray Kurzweil

We used to live in a world where the price of resources came down steadily, and now the world has changed. You have a great mismatch between finite resources and exponential population growth. — Jeremy Grantham

Unlike us, machines do not have a 'nature' consistent across vast reaches of time. They are, at least to begin with, whatever we set in motion - with an inbuilt tendency towards the exponential. — Tom Chatfield

An exponential growth is a simple doubling. One becomes two becomes four. — Peter Diamandis

The progress of science has been amazingly rapid in the last decade; but consider the savants, those exhausted hens. They are certainly not "harmonious" natures: they can merely cackle more than before, because they lay eggs oftener: but the eggs are always smaller, [Pg 64] though their books are bigger. The natural result of it all is the favourite "popularising" of science (or rather its feminising and infantising), the villainous habit of cutting the cloth of science to fit the figure of the "general public. — Friedrich Nietzsche

When people of similar frequencies come together, output is not a simple sum of individual work, but exponential. In science we term this phenomenon as resonance. Output at this stage is beyond any logical limit. — Ravindra Shukla

The first idea is that human progress is exponential (that is, it expands by repeatedly multiplying by a constant) rather than linear (that is, expanding by repeatedly adding a constant). Linear versus exponential: Linear growth is steady; exponential growth becomes explosive. — Ray Kurzweil

In his book The Singularity is Near: When Humans Transcend Biology, Kurzweil identified a hugely important and fundamental property of technology: when you shift to an information-based environment, the pace of development jumps onto an exponential growth path and price/performance doubles every year or two. — Salim Ismail

The tendency of welfare spending in the United States has been to increase at an exponential rate. — Henry Hazlitt

How do we identify trends? Not by trendlines. My favorite tools are exponential moving averages that we'll review in the next section. — Anonymous

Based on the above analyses, it is reasonable to expect the hardware that can emulate human-brain functionality to be available for approximately one thousand dollars by around 2020. As we will discuss in chapter 4, the software that will replicate that functionality will take about a decade longer. However, the exponential growth of the price-performance, capacity, and speed of our hardware technology will continue during that period, so by 2030 it will take a village of human brains (around one thousand) to match a thousand dollars' worth of computing. By 2050, one thousand dollars of computing will exceed the processing power of all human brains on Earth. Of course, this figure includes those brains still using only biological neurons. — Ray Kurzweil

No civilization can possibly survive to an interstellar spacefaring phase unless it limits its numbers.
Any society with a marked population explosion will be forced to devote all its energies and technological skills to feeding and caring for the population on its home planet. This is a very powerful conclusion and is in no way based on the idiosyncrasies of a particular civilization. On any planet, no matter what its biology or social system, an exponential increase in population will swallow every resource. Conversely, any civilization that engages in serious interstellar exploration and colonization must have exercised zero population growth or something very close to it for many generations. — Carl Sagan

We are slaves in the sense that we depend for our daily survival upon an expand-or-expire agro-industrial empire - a crackpot machine - that the specialists cannot comprehend and the managers cannot manage. Which is, furthermore, devouring world resources at an exponential rate. We are, most of us, dependent employees. ... Edward Abbey (1927-1989) — Edward Abbey

sustained exponential improvement in most aspects of computing, extraordinarily large amounts of digitized information, and recombinant innovation. These three forces are yielding breakthroughs that convert science fiction into everyday reality, — Anonymous

The pyramidal design parameter (i.e., 33 PI) on the Giza Plateau transcends from the terrestrial plane into that of the celestial by the exponential process of raising it to the power of four. As magnified above, so diminished exponentially by four below. And yet, reducing it exponentially furthermore by four, makes it recede into trigonometry and geometry. — Ibrahim Ibrahim

To create exponential growth in health care, we need to put tremendous resources and focus behind the best human minds working in this field. — Bill Maris

We do not have thousands of years to unlearn the wrong patters that were established over thousands of years. The exponential speed-up of these cumulative patterns of destruction means we have to both learn new patterns and put them into practice on a global scale within the next generation. — Rosemary Radford Ruether

It's perilous and foolhardy for the average citizen to remain ignorant about global warming, say, or ozone depletion, air pollution, toxic and radioactive wastes, acid rain, topsoil erosion, tropical deforestation, exponential population growth. Jobs and wages depend on science and technology. — Carl Sagan

It was mathematical, marriage. Not, as one might expect, additional. It was exponential. — Lauren Groff

It was like an exponential weed. And people treated me as if I was an established musician. I wasn't. — Jack Tatum

Life itself is exponential. — Jeff Rich

If human beings possessed endless possibilities, then cities contained exponential hopes. — Sherman Alexie

Life is exponential. Two becomes four, becomes ten thousand, becomes a plague. — Paolo Bacigalupi

I think that having been around computers all my life - my father had brought home personal computers at a very early age in the '70s - so being around computers from a very early age perhaps I had even subconsciously seen the exponential progression of what was happening with computers. — Barry Ptolemy

two of the most important function classes: exponential and trigonometric functions. — Metin Bektas

We all exist in a time of widespread exponential growth. We are busier than ever. — Ian Somerhalder

Although humans have existed on this planet for perhaps 2 million years, the rapid climb to modern civilization within the last 200 years was possible due to the fact that the growth of scientific knowledge is exponential; that is, its rate of expansion is proportional to how much is already known. The more we know, the faster we can know more. For example, we have amassed more knowledge since World War II than all the knowledge amassed in our 2-million-year evolution on this planet. In fact, the amount of knowledge that our scientists gain doubles approximately every 10 to 20 years. — Michio Kaku

The radio was an improvement on the telegraph but it didn't have the same exponential, transformative effect. — Alison Gopnik

If India has to achieve exponential growth, it would have to be on the back of strong growth in the manufacturing sector. — Baba Kalyani

In accordance with the law of accelerating returns, paradigm shift (also called innovation) turns the S-curve of any specific paradigm into a continuing exponential. A new paradigm, such as three-dimensional circuits, takes over when the old paradigm approaches its natural limit, which has already happened at least four times in the history of computation. In such nonhuman species as apes, the mastery of a toolmaking or -using skill by each animal is characterized by an S-shaped learning curve that ends abruptly; human-created technology, in contrast, has followed an exponential pattern of growth and acceleration since its inception. — Ray Kurzweil

For all the successes of Western civilization, the world paid a dear price in terms of the most crucial component of existence - the human spirit. The shadow side of high technology - modern warfare and thoughtless homicide and suicide, urban blight, ecological mayhem, cataclysmic climate change, polarization of economic resources - is bad enough. Much worse, our focus on exponential progress in science and technology has left many of us relatively bereft in the realm of meaning and joy, and of knowing how our lives fit into the grand scheme of existence for all eternity. — Eben Alexander

In little countries and big countries, capitalist countries and communist countries, Catholic countries and Moslem countries, Western countries and Eastern countries - in almost all these cases, exponential population growth slows down or stops when grinding poverty disappears. This is called the demographic transition. It is in the urgent long-term interest of the human species that every place on Earth achieves this demographic transition. This is why helping other countries to become self-sufficient is not only elementary human decency, but is also in the self-interest of those richer nations able to help. — Carl Sagan

Success is the exponential effect of little things done consistently over time. — Orrin Woodward

Startups are the engines of exponential growth, manifesting the power of innovation. Several big companies today are startups of yesterday. They were born with a spirit of enterprise and adventure kept alive due to hardwork and perseverance and today have become shining beacons of innovation. — Narendra Modi

Innovating Women is more important today than ever. Things are changing for the better. The recent announcements by Google, LinkedIn, Yahoo, and Facebook of their diversity numbers - and a pledge to improve these - are the most recent victories. The Boys Club is under fire and is trying to reform itself. Women are achieving success and helping each other. Advancing technologies are leveling the playing field. Women are in the catbird seat for the new era of exponential innovation. This is the time to inspire and motivate - and that is what Innovating Women will surely do. — Vivek Wadhwa

The combinatory agility of words," he wrote in "Not-Knowing," "the exponential generation of meaning once they're allowed to go to bed together, allows the writer to surprise himself, makes art possible, reveals how much of Being we haven't yet encountered. — Donald Barthelme

The greatest shortcoming of the human race is our inability to understand the exponential function. — Albert A. Bartlett

You're not just trying to do something marginally, incrementally better. You're doing something that is a fundamental paradigm shift, that will have exponential impact. That means it's harder to do, but ultimately, if it's successful, the impact it has is far greater. — Steve Case

I've found that human beings learn from their misdeeds just as often as from their good deeds. I am envious of that, for I am incapable of misdeeds. Were I not, then my growth would be exponential. — Neal Shusterman

The exponential growth of this industry was correlated with the phenomenon famously discovered by Moore, who in 1965 drew a graph of the speed of integrated circuits, based on the number of transistors that could be placed on a chip, and showed that it doubled about every two years, a trajectory that could be expected to continue. This was reaffirmed in 1971, when Intel was able to etch a complete central processing unit onto one chip, the Intel 4004, which was dubbed a "microprocessor." Moore's Law has held generally true to this day, and its reliable projection of performance to price allowed two generations of young entrepreneurs, including Steve Jobs and Bill Gates, to create cost projections for their forward-leaning products. The — Walter Isaacson

Growing new limbs, copying internal organs like a Xerox machine, exponential increases in computing power, better eyes and ears - I could read stories like this endlessly. — S. Jay Olshansky

Photography's future is infinite and bright. It's growing exponentially, so that's great, but for me as a practitioner, that exponential growth makes it even more problematic. And so for me, it's got me more engaged with storytelling. — Alec Soth

I feel humiliated that I live in a country that demands more already. Why do we cling to the notion that not only must we maintain the current level of consumption, but that it must continue to grow by an exponential factor of 2 to 7 percent every year? — David Suzuki

After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved in the exponential. — Leonhard Euler

If you don't believe in God, then the God concept is a great placeholder for everything we don't know, which is exponentially more than we do know. — Bryant McGill

People need to understand how exponential technologies are impacting the business landscape. They need to do some future-casting and look at how industries are evolving and being transformed. — Peter Diamandis

Our intuition about the future is linear. But the reality of information technology is exponential, and that makes a profound difference. If I take 30 steps linearly, I get to 30. If I take 30 steps exponentially, I get to a billion. — Ray Kurzweil

The real energy occurs in each connection between two people, which can bring about exponential returns. — Tom Rath

Our principal constraints are cultural. During the last two centuries we have known nothing but exponential growth and in parallel we have evolved what amounts to an exponential-growth culture, a culture so heavily dependent upon the continuance of exponential growth for its stability that it is incapable of reckoning with problems of non-growth. — M. King Hubbert

Adolescence is interesting. I mean, all of life is interesting and all of life is transitionary. But I think there is an exponential growth physically, intellectually, emotionally and there is so much potential. — Bill Henson

We're not on a sustainable path in civilization. We're on an exponential growth curve, on which we perhaps always have been, but it has turned up sharply at the beginning of the 20th century. — Edgar Mitchell

The ability of one to affect many is scaling exponentially - and it's scaling for good and it's scaling for evil. — Marc Goodman

No critic and advocate of immutability has ever once managed properly or even marginally to outwit the English language's capacity for foxy and relentlessly slippery flexibility. For English is a language that simply cannot be fixed, not can its use ever be absolutely laid down. It changes constantly; it grows with an almost exponential joy. It evolves eternally; its words alter their senses and their meanings subtly, slowly, or speedily according to fashion and need. — Simon Winchester

Because genes work in combination, the incremental effect of adding a new gene to a genome may be not linear, but exponential. — Gary F. Marcus

The great differentiator going forward, the next frontier for exponential growth, the place where individuals and organizations will find a new and sustainable competitive edge, resides in the area of human connectivity. — Susan Scott

[L]ean start-ups are the small furry mammals competing with the large dinosaurs - meaning they're one asteroid strike away from world dominance. Exponential technology is that asteroid. — Peter H. Diamandis

The global equalization of wages and the exponential growth in technology has created a job-killing machine that's only going to get worse. — Jeff Greene

The change from atoms to bits is irrevocable and unstoppable. Why now? Because the change is also exponential - small differences of yesterday can have suddenly shocking consequences tomorrow. — Nicholas Negroponte

And if you need to read that sentence again, no shame. It's complicated - as complicated as the sovereignty of God. Yet as simple as if. Gustave Eiffel did not build his tower so Lora and I could kiss on top of it. Nevertheless, his if made it possible. And it's your ifs that open doors of opportunity for others, most of whom you won't meet on this side of eternity. But make no mistake about it, every little if makes an exponential difference across time and eternity. History — Mark Batterson

It's probably wrong to believe there can be any limit to the horror which the human mind can experience. On the contrary, it seems that some exponential effect begins to obtain as deeper and deeper darkness falls-as little as one may like to admit it, human experience tends, in a good many ways, to support the idea that when the nightmare grows black enough, horror spawns horror, one coincidental evil begets other, often more deliberate evils, until finally blackness seems to cover everything. And the most terrifying question of all may be just how much horror the human mind can stand and still maintain a wakeful, staring, unrelenting sanity. That such events have their own Rube Goldberg absurdity goes almost without saying. At some point, it all starts to become rather funny. That may be the point at which sanity begins either to save itself or to buckle and break down; that point at which one's sense of humor begins to reassert itself. — Stephen King

We have trouble estimating dramatic, exponential change. We cannot conceive that a piece of paper folded over 50 times could reach the sun. There are abrupt limits to the number of cognitive categories we can make and the number of people we can truly love and the number of acquaintances we can truly know. We throw up our hands at a problem phrased in an abstract way, but have no difficulty at all solving the same problem rephrased as a social dilemma. All of these things are expressions of the peculiarities of the human mind and heart, a refutation of the notion that the way we function and communicate and process information is straightforward and transparent. It is not. It is messy and opaque. — Malcolm Gladwell

For PayPal to work, we needed to attract a critical mass of at least a million users. Advertising was too ineffective to justify the cost. Prospective deals with big banks kept falling through. So we decided to pay people to sign up. We gave new customers $10 for joining, and we gave them $10 more every time they referred a friend. This got us hundreds of thousands of new customers and an exponential growth rate. — Peter Thiel

Von Neumann makes two important observations here: acceleration and singularity. The first idea is that human progress is exponential (that is, it expands by repeatedly multiplying by a constant) rather than linear (that is, expanding by repeatedly adding a constant). — Ray Kurzweil

As agonizing a disease as cancer is, I do not think it can be said that our civilization is threatened by it ... But a very plausible case can be made that our civilization is fundamentally threatened by the lack of adequate fertility control. Exponential increases of population will dominate any arithmetic increases, even those brought about by heroic technological initiatives, in the availability of food and resources, as Malthus long ago realized. — Carl Sagan

We face the most compelling era of mankind: exponential growth of new technologies, cheaper electronic devices and the globalization of knowledge, commerce, and ideas along with the rapid growth of emerging markets of colossal sizes will generate the best opportunities, connections, higher risks and challenges for everyone. — Franz Christian Israel Digital Entrepreneurs.

The extinction of the human race will come from its inability to EMOTIONALLY comprehend the exponential function. — Edward Teller

Success is measured in months for me. When my health fails, it will fail quickly. Tumors grow on an exponential curve. — Randy Pausch

I grew up in a generation that had exponential technological advances. — Louis C.K.

Technology is not simply additive; it is more often exponential. An invention usually triggers other inventions. — Talal Abu-Ghazaleh

Today, a group of 20 individuals empowered by the exponential growing technologies of AI and robotics and computers and networks and eventually nanotechnology can do what only nation states could have done before. — Peter Diamandis

Maintaining patience, being generous, and helping your peers takes time, and no small amount of emotional fortitude. But it brings an exponential difference in your team's ability to problem-solve. — Kevin Allen

Technology advances at exponential rates, and human institutions and societies do not. They adapt at much slower rates. Those gaps get wider and wider. — Mitch Kapor

Exponential Results Requires Exponential Thinking and High Performance Teamworking with Growth Oriented Mindsets. — Tony Dovale

Souls are simply aspects of ego splintered off from Mae and Jin, the two original gods. They began with no ego at all, you know. But as they gained awareness of themselves, each affirmation of something they were created a denial of something they weren't. This created a polarity, a split between themselves and something that became a new 'soul' - an un-being that gave that shadow voice. One god, declaring himself to be good and denying that he was evil, split into two parts - one good and one evil - because each god is both good and evil. Each part, as it gained awareness of itself and declared itself this or that but denied that it was the shadow of each new identification, split into more and more pieces - creating an exponential birth of new souls. — Colleen Chen

Chapter 8: Exponential Functions Chapter 9: — Andrew Gloag