A Quote by Charles Sanders Peirce
Another characteristic of mathematical thought is that it can have no success where it cannot generalize.
Quote Topics
Quote Author
Related Quotes
Before one can generalize, formalize, and axiomatize, there must be a mathematical substance.
And since we cannot deceive the whole human race all the time, it is most important thus to cut every generation off from all others; for where learning makes a free commerce between the ages there is always the danger that the characteristic errors of one may be corrected by the characteristic truths of another.
Investment success cannot be captured in a mathematical equation or a computer program.
That excitement about Kossuth, consider how characteristic, but superficial, it was!--only another kind of politics or dancing. Men were making speeches to him all over the country, but each expressed only the thought, or the want of thought, of the multitude. No man stood on truth. They were merely banded together, as usual one leaning on another, and all together on nothing.
Thought engenders thought. Place one idea on paper, another will follow it, and still another, until you have written a page; you cannot fathom your mind. There is a well of thought which has no bottom; the more you draw from it, the more clear and fruitful it will be.
If the system exhibits a structure which can be represented by a mathematical equivalent, called a mathematical model, and if the objective can be also so quantified, then some computational method may be evolved for choosing the best schedule of actions among alternatives. Such use of mathematical models is termed mathematical programming.
But it is just this characteristic of simplicity in the laws of nature hitherto discovered which it would be fallacious to generalize, for it is obvious that simplicity has been a part cause of their discovery, and can, therefore, give no ground for the supposition that other undiscovered laws are equally simple.
Economics is not an attempt to generalize human desires or human behavior; but to generalize the phenomena of price.
Any characteristic that you can't stand in another person is an aspect of you that you can't stand in yourself. Once you discover that this characteristic is also in you, your resistance towards the other person gets replaced with compassion.
To the pure geometer the radius of curvature is an incidental characteristic - like the grin of the Cheshire cat. To the physicist it is an indispensable characteristic. It would be going too far to say that to the physicist the cat is merely incidental to the grin. Physics is concerned with interrelatedness such as the interrelatedness of cats and grins. In this case the "cat without a grin" and the "grin without a cat" are equally set aside as purely mathematical phantasies.
My art tends toward the literary. My pictures tend toward the outskirts of painting: But why generalize? It is possible to realize one thing or another, according to the impressions gained from one point of view or another. But it is too difficult to make a general rule.
The constructs of the mathematical mind are at the same time free and necessary. The individual mathematician feels free to define his notions and set up his axioms as he pleases. But the question is will he get his fellow mathematician interested in the constructs of his imagination. We cannot help the feeling that certain mathematical structures which have evolved through the combined efforts of the mathematical community bear the stamp of a necessity not affected by the accidents of their historical birth.
Everybody saw my successful advertising and thought I was a big success. But, behind those successes were several failures that I had to learn from before I made it. I've always looked at failure as just another step you need to take to reach success.
I always wanted to make this film or another film. I thought the worst thing you could do was to react to Slumdog's success in some way. I thought it would be really foolish.
A characteristic thing about the aspiring immigrant is the fact that he is not content to progress alone. Solitary success is imperfect success in his eyes. He must take his family with him as he rises.
The soul, considered with its Creator, is like one of those mathematical lines that may draw nearer to another for all eternity without a possibility of touching it; and can there be a thought so transporting as to consider ourselves in these perpetual approaches to Him, who is not only the standard of perfection, but of happiness?
Related Authors
Alan Watts Quotes
English
Philosopher
Albert Camus Quotes
French
Philosopher
Aristotle Quotes
Greek
Philosopher
Arthur Schopenhauer Quotes
German
Philosopher
Blaise Pascal Quotes
French
Philosopher
Confucius Quotes
Chinese
Philosopher
Francis Bacon Quotes
English
Philosopher
Friedrich Nietzsche Quotes
German
Philosopher
Jiddu Krishnamurti Quotes
Indian
Philosopher
Laozi Quotes
Chinese
Philosopher
Michel de Montaigne Quotes
French
Philosopher
Plato Quotes
Greek
Philosopher
Ralph Waldo Emerson Quotes
American
Philosopher
Seneca the Younger Quotes
Roman
Philosopher
Thomas Carlyle Quotes
Scottish
Philosopher
William James Quotes
American
Philosopher