Felix Klein Quotes

Even today, I am in total awe of the following wondrous chain of ideas and interconnections. Guided throughout by principles of symmetry, Einstein first showed that acceleration and gravity are really two sides of the same coin. He then expanded the concept to demonstrate that gravity merely reflects the geometry of spacetime. The instruments he used to develop the theory were Riemann's non-Euclidean geometries-precisely the same geometries used by Felix Klein to show that geometry is in fact a manifestation of group theory (because every geometry is defined by its symmetries-the objects it leaves unchanged). Isn't this amazing? ~ Mario Livio

These estimates may well be enhanced by one from F. Klein (1849-1925), the leading German mathematician of the last quarter of the nineteenth century. 'Mathematics in general is fundamentally the science of self-evident things.' ... If mathematics is indeed the science of self-evident things, mathematicians are a phenomenally stupid lot to waste the tons of good paper they do in proving the fact. Mathematics is abstract and it is hard, and any assertion that it is simple is true only in a severely technical sense - that of the modern postulational method which, as a matter of fact, was exploited by Euclid. The assumptions from which mathematics starts are simple; the rest is not. ~ Eric Temple Bell

Projective geometry has opened up for us with the greatest facility new territories in our science, and has rightly been called the royal road to our particular field of knowledge. ~ Felix Klein

Among mathematicians in general, three main categories may be distinguished; and perhaps the names logicians, formalists, and intuitionists may serve to characterize them. ~ Felix Klein

Regarding the fundamental investigations of mathematics, there is no final ending ... no first beginning. ~ Felix Klein

The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity and split into diverse branches. ~ Felix Klein

The teacher manages to get along still with the cumbersome algebraic analysis, in spite of its difficulties and imperfections, and avoids the smooth infinitesimal calculus, although the eighteenth century shyness toward it had long lost all point. ~ Felix Klein

The presentation of mathematics in schools should be psychological and not systematic. The teacher, so to speak, should be a diplomat. He must take account of the psychic processes in the boy in order to grip his interest, and he will succeed only if he presents things in a form intuitively comprehensible. A more abstract presentation is only possible in the upper classes. ~ Felix Klein

I'm kind of a 'Fix-It Felix' video girl. I like the simpler, sweeter kind of games. ~ Jane Lynch

To believe in nothing is as ridiculous as to believe in everything. Reason and factual evidence may convert a belief into knowledge. ~ Felix Alba-Juez

There is no question, however, of establishing a dualist opposition between the two types of multiplicities, molecular machines and molar machines; that would be no better than the dualism between the One and the multiple. There are only multiplicities of multiplicities forming a single assemblage, operating in the same assemblage: packs in masses and masses in packs. ~ Gilles Deleuze Felix Guattari

The official Hamas charter calls for the murder of Jews and destruction of the Jewish state. ~ Aaron Klein

Childhood
even a sad childhood
eventually becomes a place we think we've dreamed or stumbled across and want to find again, but never can. ~ Rachel Klein

It is a reality attested by all history that if a republic assumes imperial functions it will not remain a republic. ~ Felix Morley

He turns another page, and I read:
I'M NOT ETHAN ...
... AND I'M NOT GOING TO GIVE UP ...
... UNTIL I CAN PROVE TO YOU ...
... THAT YOU ARE THE ONLY THING THAT MATTERS.
He flips to the next page.
SO KEEP SENDING ME AWAY ...
... BUT I'LL JUST KEEP COMING BACK TO YOU.
AGAIN ...
He flips to the next page.
... AND AGAIN ...
And the next:
... AND AGAIN.
Goose bumps rise to the surface of my skin. I shiver, hugging myself tightly.
AND IF YOU CAN EVER FIND IT IN YOUR TO FORGIVE ME ...
... I WILL DO EVERYTHING IT TAKES TO MAKE IT UP TO YOU ...
He closes the notebook and tosses it beside him. It lands on the roof with a dull thwack. Then, lifting his index finger, he draws an X across his chest.
Cross my heart. ~ Katie Klein

If you lose God's paradise in Heaven, then you never existed. ~ Felix Wantang

The political media is biased, but not toward the Left or Right so much as toward loud, outrageous, colorful, inspirational, confrontational. It is biased toward the political stories and figures who activate our identities, because it is biased toward and dependent on the fraction of the country with the most intense political identities. ~ Ezra Klein

My thoughts and emotions center on him: there has never been a "you and me," but always "we" and "us". ~ Gerda Weissmann Klein

Judo has helped me to understand that pictorial space is above all the product of spiritual exercises. Judo is, in fact, the discovery by the human body of a spiritual space. ~ Yves Klein

Joe Klein is the flower of American political journalism, a sharp raconteur who shows traces of the gonzo style that was in vogue when he was honing his craft at Rolling Stone back in the day. ~ Thomas Frank

Watching him, it's easy to ignore Carter's miserable expression, Selena's resentment, to push Seth out of my mind completely. Because there is no way I'm going to let an indecisive angel tell me what I should and shouldn't do. ~ Katie Klein

Obama repeatedly has condemned Hamas as a terrorist organization that should be isolated until it renounces violence and recognizes Israel. ~ Aaron Klein

'Reasoning doesn't have this function of helping us to get better beliefs and make better decisions,' said Hugo Mercier, who is a co-author of the journal article, with Dan Sperber. 'It was a purely social phenomenon. It evolved to help us convince others and to be careful when others try to convince us.' Truth and accuracy were beside the point. ~ Ezra Klein

While it is not always profitable to analogize fact to fiction, La Fontaine's fable of the crow, the cheese, and the fox demonstrates that there is a substantial difference between holding a piece of cheese in the beak and putting it in the stomach. ~ Felix Frankfurter

As she walked, the horror stories she'd heard from Felix and the others became real. This is what their underground efforts were fighting against. These camps, these guards, were reality to thousands of people ... Reality to the person who had just made the trip up the chimney. If they did not stop this madness, it would be the end of them all. ~ Tricia Goyer

It has no denim-toned house paint. Levi makes what is essentially a commodity: blue jeans. Its ads may evoke rugged outdoorsmanship, but Levi hasn't promoted any particular life style to sell other products. ~ Naomi Klein

One of my big beliefs about Washington is that we highly overstate the power of individuals and highly underrate seeing Washington as a system, in general, but, in particular, we highly underrate the power of Congress. ~ Ezra Klein

Biking is about rhythm and flow. It's the wind in you face and the challenge of hammering up along hill. It's the reward at the top and the thrill of a high-speed descent. Biking lets you come alive in both body and spirit. After awhile the bike disappears beneath you and you feel as if you're suspended in midair. ~ Gary Klein

The problem with rich lists is ... it is impossible to know what someone is worth until they have died and you have sold it. ~ Felix Dennis

Although psychology and pedagogy have always maintained the belief that a child is a happy being without any conflicts, and have assumed that the sufferings of adults are the results of the burdens and hardships of reality, it must be asserted that just the opposite is true. What we learn about the child and the adult through psychoanalysis shows that all the sufferings of later life are for the most part repetitions of these earlier ones, and that every child in the first years of life goes through and immeasurable degree of suffering. ~ Melanie Klein

Happy he who was able to know the causes of things (felix qui potuit rerum cognoscere causas), and who trampled beneath his feet all fears, inexorable fate, and the roar of devouring hell. ~ Virgil

Salvation is not about proving the existence of God; Salvation is about where you want to go from this sinful wicked world. Matthew 24 ~ Felix Wantang

I love a great pair of jeans and a nice blouse. ~ Allyson Felix

I was convinced before the game that we had a very good chance but today was what you would call in Germany a blackout. ~ Felix Magath

A decade ago, Australian philosopher and professor of sustainability Glenn Albrecht set out to coin a term to capture the particular form of psychological distress that set in when the homelands that we love and from which we take comfort are radically altered by extraction and industrialization, rendering them alienating and unfamiliar. He settled on 'solastalgia,' with it's evocations of solace, destruction, and pain, and defined the new word to mean, 'the homesickness you have when you are still at home. ~ Naomi Klein

Ma'am is yet another horrible-sounding word in the lexicon of words that women are stuck with to describe various aspects of their body/life/mental state/hair. Vagina. Moist. Fallopian tubes. Yeast infection. Clitoris. Frizz. These are all terrible words, and yet they are our assigned descriptors. Who made up these words? Women certainly didn't. If, at the beginning of time, right after making vaginas, God had asked me, 'What would you like your most intimate and enjoyable part of yourself to be called?',' I most certainly wouldn't have said, 'Vagina.' No woman would, because vagina sounds like a First World War term that was invented to describe a trench that has been mostly blown apart but is still in use. Even off the very top of my head I feel like I could have come up with something better, like for instance the word papoose, which actually as I'm typing it feels like an incredibly brilliant word for vagina. ~ Jessi Klein

Humor expands our limited picture frame and gets us to see more than just our problem. ~ Allen Klein

I laughed when I read about being born with two hearts, one of which is devoted only to destroying humanity. ~ Rachel Klein

Though snails are exceedingly slow,
There is one thing I'd like to know.
If I out run 'em round the yard,
How come they beat me to the chard? ~ Allen Klein

She calls me 'bird boy' and Hawkeye every time she gets a chance. Last year she bought me a bow and arrow for my birthday and told me it was for when the Avengers were called into action. ~ Lila Felix

After my first visit to Japan, in 1960, to work on a joint model building project at Osaka University, I maintained a continuing interest in the country and the entire Far East. ~ Lawrence R. Klein

I do not care about power and wealth, father. I want to marry for love."

"You want to marry for love?" The elder Valentino scoffed. "Que mierda. Marrying for love is like adding extra picante to your meal. It may seem like a good idea at the time, but your stomach will curse you for it with ulcers in the end. ~ Felix Alexander

The vast majority of free verse is ghastly. Utterly ghastly. No one reads it. No one listens to it. ~ Felix Dennis

Imagine looking in the mirror and not knowing who you are. An empty face staring back. No one. We rarely think about how much air is around us until we can't breathe. We always imagine what it would be like to be someone else, but when we do so, it's with the guise that beneath it all, we know who we really are. Take that away, and who are we? ~ Tal M. Klein

There are certain families who absolutely incorporate their nanny as part of the family, and there are other people, and there are codes for this, when they call in, they say, 'I am really not looking for a friend.' It is clear they will not be members of the family. ~ Robert Klein

Deeply immersed in a constant bubble bath of sin, you cannot communicate with Jesus Christ unless you are ready to get out of the bath. John 1:9 ~ Felix Wantang

You are unshakable, the Lord is your rock, and redeemer, when the words of your mouth and the meditation of your heart are pleasing before Him. Psalm 9:14 ~ Felix Wantang

Reconciliation means that those who have been on the underside of history must see that there is a qualitative difference between repression and freedom. And for them, freedom translates into having a supply of clean water, having electricity on tap; being able to live in a decent home and have a good job; to be able to send your children to school and to have accessible health care. I mean, what's the point of having made this transition if the quality of life of these people is not enhanced and improved? If not, the vote is useless.'
-archbishop Desmond Tutu, chair of South Africa's Truth and Reconciliation Committee, 2001 ~ Naomi Klein

People read things into my commercials that don't even exist. ~ Calvin Klein

It is not the reverence for words, but for their meaning that determines our deepness of comprehension of a given assertion about Nature. ~ Felix Alba-Juez