Ideas Quote by Gian-Carlo Rota Download Open image “If we have no idea why a statement is true, we can still prove it by induction.” — Gian-Carlo Rota ★ ★ ★ ★ ★ 4.9 out of 5 (6 ratings) Copy quoteShare Ideas Ifs Mathematics No idea Prove Prove it Statements Stills
Now this principle of induction cannot be a purely logical truth like a tautology or an analytic statement. . . . — Karl Popper Copy Share Image
If you can't prove it's not true then a certain number of people will glom on and say it is true. — Michael Bloomberg Copy Share Image
In law, as in every other branch of knowledge, the truths given by induction tend to form the premises for new deductions. The lawyers… — Benjamin N. Cardozo Copy Share Image
The kind of knowledge which is supported only by observations and is not yet proved must be carefully distinguished from the truth; it is… — Leonhard Euler Copy Share Image
What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the… — Timothy Gowers Copy Share Image
Mathematics, however, is, as it were, its own explanation; this, although it may seem hard to accept, is nevertheless true, for the recognition that… — Gerolamo Cardano Copy Share Image
“We may put it in this way: Deduction depends on Induction, if general propositions are only known to us through the facts: Induction depends… — Carveth Read Copy Share Image
Science sometimes improves hypotheses and sometimes disproves them. But proof would be another matter and perhaps never occurs except in the realms of totally… — Gregory Bateson Copy Share Image
At the beginning of the new millennium, we still do not know why mathematics is true and whether it is certain. But we know… — David Berlinski Copy Share Image
A thing is not proved because no one has ever questioned it... Skepticism is the first step toward truth. — Denis Diderot Copy Share Image
Every lecture should state one main point and repeat it over and over, like a theme with variations. An audience is like a herd… — Gian-Carlo Rota Copy Share Image
God created infinity, and man, unable to understand infinity, had to invent finite sets. — Gian-Carlo Rota Copy Share Image
Philosophers and psychiatrists should explain why it is that we mathematicians are in the habit of systematically erasing our footsteps. Scientists have always looked… — Gian-Carlo Rota Copy Share Image
The lack of real contact between mathematics and biology is either a tragedy, a scandal or a challenge, it is hard to decide which. — Gian-Carlo Rota Copy Share Image
The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be closely intertwined.… — Gian-Carlo Rota Copy Share Image
[In mathematics] There are two kinds of mistakes. There are fatal mistakes that destroy a theory, but there are also contingent ones, which are… — Gian-Carlo Rota Copy Share Image
Every field has its taboos. In algebraic geometry the taboos are (1) writing a draft that can be followed by anyone but two or… — Gian-Carlo Rota Copy Share Image
Running overtime is the one unforgivable error a lecturer can make. After fifty minutes (one microcentury as von Neumann used to say) everybody's attention… — Gian-Carlo Rota Copy Share Image
Mathematics is the study of analogies between analogies. All science is. Scientists want to show that things that don't look alike are really the… — Gian-Carlo Rota Copy Share Image
Mathematicians also make terrible salesmen. Physicists can discover the same thing as a mathematician and say 'We've discovered a great new law of nature.… — Gian-Carlo Rota Copy Share Image
Stan Ulam was lazy, ... He talked too much ... He was self-centered ... . He had an overpowering personality. — Gian-Carlo Rota Copy Share Image
I think a new world will arise out of the religious mists when we approach our Bible with the idea that it is not… — Aiden Wilson Tozer Copy Share Image
Companies with cultures that celebrate diverse opinions and encourage the exchange of ideas have an advantage when solving difficult problems. A company that doesn't… — Doug McMillon Copy Share Image
You'd be surprised how hard it can often be to translate an action into an idea. — Karl Kraus Copy Share Image
I know for my wife and I, we always loved the idea of being young parents. It is an incredibly inspiring and challenging job… — Taylor Hanson Copy Share Image
That's the great secret of creativity. You treat ideas like cats: you make them follow you. — Ray Bradbury Copy Share Image
I've always been fascinated by the idea that there's no such thing as evil; it's all in your point of view. To one group… — Eli Roth Copy Share Image
The image of blacks usually is one of people who are suffering from hunger, unemployment, and poverty. The idea of them as agents and… — Grace Lee Boggs Copy Share Image
It revealed a cruelty that really made one wonder if the universe was such a good idea after all. — Jeff Lindsay Copy Share Image
Sometimes it's just enough for me to have the idea. I don't need to see it through to the end. When it actually happens,… — Amy Sedaris Copy Share Image
Love is like that, fragile and light. No wonder it rests upon our hearts in intangible moments, bids us follow fleeting thoughts and ideas… — Anonymous Copy Share Image
But I already saw no great difference between the psyche and spirituality. To amass knowledge without becoming wise is not my idea of progress… — M. Scott Peck Copy Share Image
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