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.
Bitcoin is a swarm of cyber hornets serving the goddess of wisdom, feeding on the fire of truth, exponentially growing ever smarter, faster, and stronger behind a wall of encrypted energy.
Artificial intelligence will reach human levels by around 2029. Follow that out further to, say, 2045, we will have multiplied the intelligence, the human biological machine intelligence of our civilization a billion-fold.
Anyone who believes exponential growth can go on forever in a finite world is either a madman or an economist.
knowledge began freely replicating and quickly assumed a life of its own.
With the invention of the printing press
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.
Through writing, Homo sapiens then became the first species to preserve learning, enabling knowledge to grow, ultimately at an exponential pace. Collective learning over time then became the source of technological improvement, a process that could move much faster than evolution.
Innovation accelerates and compounds.
Almost all of the many predictions now being made about 1996 hinge on the internet's continuing exponential growth. But I predict the internet will soon go spectacularly supernova and in 1996 catastrophically collapse.
The pace of digitizing life has been increasing exponentially.
There was more data transmitted over the Internet in 2010 than the entire history of the Internet through 2009.
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.
I'm a great believer in particularly being alert to changes that change something, anything, by an order of magnitude, and nothing operates with the factors of 10 as profoundly as the Internet.
I think it took us nine years to get one million subscribers to AOL, and then in the next nine years we went from one million to 35 million.
The pace of discovery is going unbelievably fast.
Both a priori reasoning and experience teach us that as as these funds grow larger the geometrical rate of growth by compound interest ultimately defeats itself.
Rarely in the history of science has an abstract mathematical idea been received more enthusiastically by the entire scientific community than the invention of logarithms.
I saw the logarithmic growth of computer power.
What had been (at the beginning) no bigger than a full stop had expanded into a comma, a word, a sentence, a paragraph, a chapter; now it was bursting into more complex developments, becoming, one might say, a book - perhaps an encylopaedia - even a whole language.
Technology has advanced more in the last thirty years than in the previous two thousand. The exponential increase in advancement will only continue. Anthropological Commentary The opposite of a trivial truth is false; the opposite of a great truth is also true.
Population, when unchecked, increases in a geometrical ratio. Subsistence only increases in an arithmetical ratio.
We're extremely excited about the assets that Yahoo has in the areas of Sports and Finance and Email and News. You match those up with AOL, and we've just made an exponential leap in capabilities here.
The laws of business physics have been broken in terms of how many customers you can acquire and how fast. No one in history has ever acquired 450 million customers in the same amount of time that WhatsApp did.
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.
Knowledge grows exponentially. The more we know, the greater our ability to learn, and the faster we expand our knowledge base.