But as the work proceeded I was continually reminded of the fable about the elephant and the tortoise. Having constructed an elephant upon which the mathematical world could rest, I found the elephant tottering, and proceeded to construct a tortoise to keep the elephant from falling. But the tortois
... mathematical knowledge ... is, in fact, merely verbal knowledge. "3" means "2+1", and "4" means "3+1". Hence it follows (though the proof is long) that "4" means the same as "2+2". Thus mathematical knowledge ceases to be mysterious.
... the word "theory" ... was originally an Orphic word, which Cornford interprets as "passionate sympathetic contemplation" ... For Pythagoras, the "passionate sympathetic contemplation" was intellectual, and issued in mathematical knowledge ... To those who have reluctantly learnt a little mathema
I am allowed to use plain English because everybody knows that I could use mathematical logic if I chose.
In all affairs it's a healthy thing now and then to hang a question mark on the things you have long taken for granted.
Men who are unhappy, like men who sleep badly, are always proud of the fact.
Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform.
I like mathematics because it is not human and has nothing particular to do with this planet or with the whole accidental universe - because, like Spinoza's God, it won't love us in return.
Aristotle maintained that women have fewer teeth than men; although he was twice married, it never occurred to him to verify this statement by examining his wives' mouths.
Physics is mathematical not because we know so much about the physical world, but because we know so little; it is only its mathematical properties that we can discover.
Only mathematics and mathematical logic can say as little as the physicist means to say.
Ordinary language is totally unsuited for expressing what physics really asserts, since the words of everyday life are not sufficiently abstract. Only mathematics and mathematical logic can say as little as the physicist means to say.
To create a good philosophy you should renounce metaphysics but be a good mathematician.
Money does not represent such a value as men have placed upon it. All my money has been invested into experiments with which I have made new discoveries enabling mankind to have a little easier life.
Perhaps I failed, but I did my best, These masters of mine may do the rest.
I am trying to awake the energy contained in the air. These are the main sources of energy. What is considered as empty space is just a manifestation of matter that is not awakened.
Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.
This work somehow awakened my dormant powers of will and I began to practice self-control. At first my resolutions faded like snow in April, but in a little while I conquered my weakness and felt a pleasure I never knew before - that of doing as I willed.
Nature may reach the same result in many ways.
In the twenty-first century, the robot will take the place which slave labor occupied in ancient civilization.
The gift of mental power comes from God, Divine Being, and if we concetrate our minds on that truth, we become in tune with this great power.My Mother had taught me to seek all truth in the Bible.
Now sticks 'n' stones'll break ya bones, a little tokin' never hurt no one. Let's toke, toke, toke about it.
The harness of waterfalls is the most economical method known for drawing energy from the sun.
Peace can only come as a natural consequence of universal enlightenment.
Perhaps it is better in this present world of ours that a revolutionary idea or invention instead of being helped and patted be hampered and ill-treated in its adolescence-by want of means, by selfish interest, pedantry, stupidity and ignorance; that it be attacked and stifled; that it pass through
I do not think you can name many great inventions that have been made by married men.
I have always been ahead of my time.
I would not give my rotating field discovery for a thousand inventions, however valuable... A thousand years hence, the telephone and the motion picture camera may be obsolete, but the principle of the rotating magnetic field will remain a vital, living thing for all time to come.
I am credited with being one of the hardest workers and perhaps I am, if thought is the equivalent of labour, for I have devoted to it almost all of my waking hours. But if work is interpreted to be a definite performance in a specified time according to a rigid rule, then I may be the worst of idle
To know each other we must reach beyond the sphere of our sense perceptions.
I could only achieve success in my life through self-discipline, and I applied it until my wish and my will became one.
The universal utilization of water power and its long-distance transmission will supply every household with cheap power and will dispense with the necessity of burning fuel. The struggle for existence being lessened, there should be development along ideal rather than material lines.
My mother understood human nature better and never chided. She knew that a man cannot be saved from his own foolishness or vice by someone else's efforts or protests, but only by the use of his own will.