A Quote by Hilary Putnam
While there is such a thing as correctness in ethics, in interpretation, in mathematics, the way to understand that is not by trying to model it on the ways in which we get things right in physics.
Quote Topics
Quote Author
Related Quotes
Eugene Wigner wrote a famous essay on the unreasonable effectiveness of mathematics in natural sciences. He meant physics, of course. There is only one thing which is more unreasonable than the unreasonable effectiveness of mathematics in physics, and this is the unreasonable ineffectiveness of mathematics in biology.
The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics.
Mathematics should be mixed not only with physics but with ethics.
It seems that every practitioner of physics has had to wonder at some point why mathematics and physics have come to be so closely entwined. Opinions vary on the answer. ..Bertrand Russell acknowledged..'Physics is mathematical not because we know so much about the physical world, but because we know so little.' ..Mathematics may be indispensable to physics, but it obviously does not constitute physics.
We're always, by the way, in fundamental physics, always trying to investigate those things in which we don't understand the conclusions. After we've checked them enough, we're okay.
Just by studying mathematics we can hope to make a guess at the kind of mathematics that will come into the physics of the future... If someone can hit on the right lines along which to make this development, it may lead to a future advance in which people will first discover the equations and then, after examining them, gradually learn how to apply them... My own belief is that this is a more likely line of progress than trying to guess at physical pictures.
I always like to do the things that I think are right. I am not trying to be a model, I am trying to be myself and do the right things. If what I am doing is a model, or is an example, is the right example, I am very happy, but I don't pretend that.
I do not think the division of the subject into two parts - into applied mathematics and experimental physics a good one, for natural philosophy without experiment is merely mathematical exercise, while experiment without mathematics will neither sufficiently discipline the mind or sufficiently extend our knowledge in a subject like physics.
The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve.
...mathematics is distinguished from all other sciences except only ethics, in standing in no need of ethics. Every other science, even logic, especially in its early stages, is in danger of evaporating into airy nothingness, degenerating, as the Germans say, into an arachnoid film, spun from the stuff that dreams are made of. There is no such danger for pure mathematics; for that is precisely what mathematics ought to be.
It is unreasonable to expect science to produce a system of ethics-ethics are a kind of highway code for traffic among mankind-and the fact that in physics atoms which were yesterday assumed to be square are now assumed to be round is exploited with unjustified tendentiousness by all who are hungry for faith; so long as physics extends our dominion over nature, these changes ought to be a matter of complete indifference to you.
We have a closed circle of consistency here: the laws of physics produce complex systems, and these complex systems lead to consciousness, which then produces mathematics, which can then encode in a succinct and inspiring way the very underlying laws of physics that gave rise to it.
He is not a true man of science who does not bring some sympathy to his studies, and expect to learn something by behavior as well as by application. It is childish to rest in the discovery of mere coincidences, or of partial and extraneous laws. The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics. The fact which interests us most is the life of the naturalist. The purest science is still biographical.
Don't judge my dad on the one thing he did wrong and not on all the things he did right. For such a long time, he was such a huge role model for kids and such a positive thing. That's the one thing about this business is you get tormented for the one thing that is negative versus all the great things you have done.
Beauty means a lot of different things to a lot of different people. A lot of different ways in which things can be beautiful. But this really has a very specific meaning and which is more along the lines of elegance which is that we say an idea is beautiful or elegant in mathematics or physics if a very simple principle or a very simple idea, or simple set of ideas, turns out to be very powerful and leads to all sort of unexpected structure and unexpected predictions.
The great thing is that young talent isn't tied to a how-to model for starting a line; we get to find new ways to go about doing things. And don't let people tell you you can't. Go find a way to show that you can.
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