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When the Idea, of any Pleasure strikes your Imagination... let that time be employed in making a just Computation between, the duration of the Pleasure, and that of the Repentance sure to follow it.
Sep 11, 2025
Mathematics is no more computation than typing is literature.
Perhaps some day in the dim future it will be possible to advance the computations faster than the weather advances and at a cost less than the saving to mankind due to the information gained. But that is a dream.
A lot of people talk about sometime around 2030, machines will be more powerful than the human brain, in terms of the raw number of computations they can do per second. But that seems completely irrelevant. We don't know how the brain is organized, how it does what it does.
The more we learn about AI and about how the brain works, the more amazing the brain seems. Just the sheer amount of computation it does is truly incredible, especially for a couple of pounds of meat.
Probability is not a mere computation of odds on the dice or more complicated variants; it is the acceptance of the lack of certainty in our knowledge and the development of methods for dealing with our ignorance.
Computation involves going from a question to an answer. Mathematics involves going from an answer to a question.
My knowledge of the human psyche is as yet imperfect. Certain areas won't yield to computation.
Understanding is, after all, what science is all about — and science is a great deal more than mindless computation.
At the present time there exist problems beyond our ability to solve, not because of theoretical difficulties, but because of insufficient means of mechanical computation.
What's needed now are software technologies that interconnect computing systems, people and data to produce more rapid answers to the questions of science, and to help researchers use computation in the most effective manner.
The Saviour said He was going to prepare us a place. How wonderful it will be is beyond human computation. Remember that in six days Christ made the heavens and earth and all that in them is.... If He made so many wonders in six days, then what beauties and marvels He has surely prepared during these 1900 years in which He has been preparing our mansions in the Father's House!
What would it be like if, right in the midst of this busyness, we were to consciously take our hands off the controls? What if we were to intentionally stop our mental computations and our rushing around and, for a minute or two, simply pause and notice our inner experience?
Keep computations to the lowest level of the multiplication table.
When you zap things with light to build quantum computers, you're hacking existing systems. You're hijacking the computation that's already happening in the universe, just like a hacker takes over someone else's computer.
The history of the universe is, in effect, a huge and ongoing quantum computation. The universe is a quantum computer.
Imagination is actually a form of computation. Imagination gives calculated and instinctive solutions for the future.
No sociologist should think himself too good, even in his old age, to make tens of thousands of quite trivial computations in his head and perhaps for months at a time.
Quantum computation is a distinctively new way of harnessing nature. It will be the first technology that allows useful tasks to be performed in collaboration between parallel universes.
I spent 20 years doing research on regular and irregular verbs, not because I'm an obsessive language lover but because it seemed to me that they tapped into a fundamental distinction in language processing, indeed in cognitive processing, between memory lookup and rule-driven computation.
The moral, then, is that familiar categories of behavior - marriage customs, food taboos, folk superstitions, and so on - certainly do vary across cultures and have to be learned, but the deeper mechanisms of mental computation that generate them may be universal and innate.
We couldn't build quantum computers unless the universe were quantum and computing. We can build such machines because the universe is storing and processing information in the quantum realm. When we build quantum computers, we're hijacking that underlying computation in order to make it do things we want: little and/or/not calculations. We're hacking into the universe.
If you roll dice, you know that the odds are one in six that the dice will come up on a particular side. So you can calculate the risk. But, in the stock market, such computations are bull - you don't even know how many sides the dice have!
The term, information at your fingertips, is to remind people what a broad role the personal computer will be playing. It's not a computation device, it's not a word processing or a spreadsheet device. It's a window onto the world of information.
The theory of numbers, more than any other branch of mathematics, began by being an experimental science. Its most famous theorems have all been conjectured, sometimes a hundred years or more before they were proved; and they have been suggested by the evidence of a mass of computations.
The question you raise, 'How can such a formulation lead to computations?' doesn't bother me in the least! Throughout my whole life as a mathematician, the possibility of making explicit, elegant computations has always come out by itself, as a byproduct of a thorough conceptual understanding of what was going on. Thus I never bothered about whether what would come out would be suitable for this or that, but just tried to understand - and it always turned out that understanding was all that mattered.
But biology and computer science - life and computation - are related. I am confident that at their interface great discoveries await those who seek them.
The Old Testament contains over 300 references to the Messiah that were fulfilled in Jesus Christ. Computations using the science of probability on just 8 of these prophecies show the chance that someone could have fulfilled all 8 prophecies is 10 (to the 17th power), or 1 in 100 quadrillion.
To me quantum computation is a new and deeper and better way to understand the laws of physics, and hence understanding physical reality as a whole.
I've been asked to explain why I don't worry much about the topics of privacy threat...One reason is that these scenarios seem to assume that there will be large, monolithic bureaucracies...that are capable of harnessing computers for one-way surveillance of an unsuspecting populace. I've come to feel that computation just doesn't work that way. Being afraid of monolithic organizations especially when they have computers, is like being afraid of really big gorillas especially when they are on fire.
Human beings are distinguished by a capacity for experience as well as by their behavior, and homosexuality is as much a matter ofemotion as of genital manipulation.... As we each examine our own sense of identity we realize how much more complex is the question of homosexuality than a mere Kinsey-like computation of orgasms.
People know, or dimly feel, that if thinking is not kept pure and keen, and if respect for the world of mind is no longer operative, ships and automobiles will soon cease to run right, the engineer's slide rule and the computations of banks and stock exchanges will forfeit validity and authority, and chaos will ensue.
I suppose that Paderewski can play superbly, if not quite at his best, while his thoughts wander to the other end of the world, orpossibly busy themselves with a computation of the receipts as he gazes out across the auditorium. I know a great actor, a master technician, can let his thoughts play truant from the scene.
Computer science is no more about computers than astronomy is about telescopes.
When the aggregate amount of solid matter transported by rivers in a given number of centuries from a large continent, shall be reduced to arithmetical computation, the result will appear most astonishing to those...not in the habit of reflecting how many of the mightiest of operations in nature are effected insensibly, without noise or disorder.
One of the things that I've been doing recently in my scientific research is to ask this question: Is the universe actually capable of performing things like digital computations?
In almost every computation a great variety of arrangements for the succession of the processes is possible, and various considerations must influence the selections amongst them for the purposes of a calculating engine. One essential object is to choose that arrangement which shall tend to reduce to a minimum the time necessary for completing the calculation.
Fantastic truths perish slower... Sappho's moon will survive the moon of Armstrong. Different computations are necessary.
I have no great faith in political arithmetic, and I mean not to warrant the exactness of either of these computations.
The desire to economize time and mental effort in arithmetical computations, and to eliminate human liability to error is probably as old as the science of arithmetic itself.
The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed, which can lead to an explanation of the main features of complex atomic systems without too much computation.
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
ALGEBRA is a general Method of Computation by certain Signs and Symbols which have been contrived for this Purpose, and found convenient.
We are not very pleased when we are forced to accept a mathematical truth by virtue of a complicated chain of formal conclusions and computations, which we traverse blindly, link by link, feeling our way by touch. We want first an overview of the aim and of the road; we want to understand the idea of the proof, the deeper context.
That which occasions so many mistakes in the computations of men, when they expect return for favors, is that the giver's pride and the receiver's cannot agree upon the value of the kindness done.
As a peace machine, it's value to the world will be beyond computation. Would a declaration of war between Russia and Japan be made, if within an hour there after a swifty gliding aeroplane might take its flight from St Petersburg and drop half a ton of dynamite above the enemy's war offices? Could any nation afford to war upon any other with such hazards in view?
It is India that gave us the ingenious method of expressing all numbers by means of ten symbols, each symbol receiving a value of position as well as an absolute value; a profound and important idea which appears so simple to us now that we ignore its true merit. But its very simplicity and the great ease which it has lent to computations put our arithmetic in the first rank of useful inventions; and we shall appreciate the grandeur of the achievement the more when we remember that it escaped the genius of Archimedes and Apollonius, two of the greatest men produced by antiquity.
We must pay close attention to the signals our body sends - the aches and pains, digestions and indigestions, increased energies and exhaustions. Our body sends us signals about the correct 'spelling' of our lives. These sensations are the sum of complex inner computations that we must learn to interpret.
Computers are good at swift, accurate computation and at storing great masses of information. The brain, on the other hand, is notas efficient a number cruncher and its memory is often highly fallible; a basic inexactness is built into its design. The brain's strong point is its flexibility. It is unsurpassed at making shrewd guesses and at grasping the total meaning of information presented to it.
Upon the present theological computation, ten souls must be lost for one that is saved. At which rate of reckoning, heaven can raise but its cohorts while hell commands its legions. From which sad account it would appear, that, though our Saviour had conquered death by the resurrection, he had not yet been able to overcome sin by the redemption.