The way in which the irrational numbers are usually introduced is based directly upon the conception of extensive magnitudes-which itself is nowhere carefully defined-and explains number as the result of measuring such a magnitude by another of the same kind. Instead of this I demand that arithmetic shall be developed out of itself.
Richard DedekindRelated topics
arithmetic conception irrational kind magnitude measuring nowhere number result wayRelated quotes
Writing ought either to be the manufacture of stories for which there is a market demand -- a business as safe and commendable as making soap or breakfast foods -- or it should be an art, which is always a search for something for which there is no market demand, something new and untried, where the values are intrinsic and have nothing to do with standardized values.
Willa Cather
If a man is offered a fact which goes against his instincts, he will scrutinize it closely, and unless the evidence is overwhelming, he will refuse to believe it. If, on the other hand, he is offered something which affords a reason for acting in accordance to his instincts, he will accept it even on the slightest evidence. The origin of myths is explained in this way.
Bertrand Russell
The scientific man does not aim at an immediate result. He does not expect that his advanced ideas will be readily taken up. His work is like that of the planter - for the future. His duty is to lay the foundation for those who are to come, and point the way. He lives and labors and hopes.
Nikola Tesla
To sum up: numbers appear to represent both an attribute of matter and the unconscious foundation of our mental process. For this reason, number forms, according to Jung, that particular element that unites the realms of matter and psyche. It is "real” in a double sense, as an archetypal image and as a qualitative manifestation in the realm of outer-world experience.
Marie-Louise von Franz
There are people who strictly deprive themselves of each and every eatable, drinkable, and smokable which has in any way acquired a shady reputation. They pay this price for health. And health is all they get for it. How strange it is. It is like paying out your whole fortune for a cow that has gone dry.
Mark Twain