Formalism Quotes

Respecting infinite sets, for example, Intuitionism is rabidly anti-Cantor and Formalism staunchly pro-Cantor, even though both Formalism and Intuitionism are anti-Plato and Cantor is a diehard Platonist. Which, migrainous or not, means we're back to metaphysics: the modern wrangle over math's procedures is ultimately a dispute over the ontological status of math entities. ~ David Foster Wallace

Science in its everyday practice is much closer to art than to philosophy. When I look at Godel's proof of his undecidability theorem, I do not see a philosophical argument. The proof is a soaring piece of architecture, as unique and as lovely as Chartres Cathedral. Godel took Hilbert's formalized axioms of mathematics as his building blocks and built out of them a lofty structure of ideas into which he could finally insert his undecidable arithmetical statement as the keystone of the arch. The proof is a great work of art. It is a construction, not a reduction. It destroyed Hilbert's dream of reducing all mathematics to a few equations, and replaced it with a greater dream of mathematics as an endlessly growing realm of ideas. Godel proved that in mathematics the whole is always greater than the sum of the parts. Every formalization of mathematics raises questions that reach beyond the limits of the formalism into unexplored territory. ~ Freeman Dyson

Worship is much more than just singing songs. In fact, true worship is first and foremost a condition of heart and a state of mind. We can be worshipping passionately without singing a single note. Worship is born in our hearts; it fills our thoughts and then it is expressed through our mouths and through our bodies. If our hearts are filled with awe for God, we may want to sing, dance, clap, or lift up our hands in worship. We may also be reverently silent and still before God. We may desire to give offerings or offer other forms of outward expression of love for God. But any of these actions done without a right heart are simply formalism and meaningless to God. ~ Joyce Meyer

In the popular mind, if Hoyle is remembered it is as the prime mover of the discredited Steady State theory of the universe. "Everybody knows" that the rival Big Bang theory won the battle of the cosmologies, but few (not even astronomers) appreciate that the mathematical formalism of the now-favoured version of Big Bang, called inflation, is identical to Hoyle's version of the Steady State model. ~ Fred Hoyle

Far from creating a new formalism, what these can yield is something far transcending surface values since they not only embody form as beauty, but also form in which intuitions or ideas or conjectures have taken visible substance. ~ Max Bill

Whereas discipline without discipleship leads to rigid formalism, discipleship without discipline ends in sentimental romanticism. ~ Henri J.M. Nouwen

Wings are a constraint that makes it possible to fly. ~ Robert Bringhurst

Formalism, in opting for the functional mode making possible precise quantitative determinations within a closed system of variables, forgoes the possibility of making meaningful statements about human action. ~ Ludwig Lachmann

In theology the conservative temper tends to formalism. ~ Edith Hamilton

She had painted her lips and was holding in her hollowed hands a beautiful, banal, Eden-red apple. ~ Vladimir Nabokov

After moving his family from Yakima to Paradise, California, in 1958, he enrolled at Chico State College. There, he began an apprenticeship under the soon-to-be-famous John Gardner, the first "real writer" he had ever met. "He offered me the key to his office," Carver recalled in his preface to Gardner's On Becoming a Novelist (1983). "I see that gift now as a turning point." In addition, Gardner gave his student "close, line-by-line criticism" and taught him a set of values that was "not negotiable." Among these values were convictions that Carver held until his death. Like Gardner, whose On Moral Fiction (1978) decried the "nihilism" of postmodern formalism, Carver maintained that great literature is life-connected, life-affirming, and life-changing. "In the best fiction," he wrote "the central character, the hero or heroine, is also the 'moved' character, the one to whom something happens in the story that makes a difference. Something happens that changes the way that character looks at himself and hence the world." Through the 1960s and 1970s he steered wide of the metafictional "funhouse" erected by Barth, Barthelme and Company, concentrating instead on what he called "those basics of old-fashioned storytelling: plot, character, and action." Like Gardner and Chekhov, Carver declared himself a humanist. "Art is not self-expression," he insisted, "it's communication. ~ William L. Stull

On foundations we believe in the reality of mathematics, but of course, when philosophers attack us with their paradoxes, we rush to hide behind formalism and say 'mathematics is just a combination of meaningless symbols,' ... Finally we are left in peace to go back to our mathematics and do it as we have always done, with the feeling each mathematician has that he is working with something real. The sensation is probably an illusion, but it is very convenient. ~ Jean Dieudonne

The exercises of our meeting are to be simple and devoid of all ceremonial and formalism. ~ Felix Adler

In mysteries what we know, and our realization of what we do not know, proceed together; the larger the island of knowledge, the longer the shoreline of wonder. It is like the quantum world, where the more we understand its formalism, the stranger that world becomes. ~ Huston Smith

The Bloomsbury Group has been characterised as a liberal, pacifist, and at times libertine, intellectual enclave of Cambridge-based privilege. The Cambridge men of the group (Bell, Forster, Fry, Keynes, Strachey, Sydney-Turner) were members of the elite and secret society of Cambridge Apostles. Woolf's aesthetic understanding, and broader philosophy, were in part shaped by, and at first primarily interpreted in terms of, (male) Bloomsbury's dominant aesthetic and philosophical preoccupations, rooted in the work of G. E. Moore (a central influence on the Apostles), and culminating in Fry's and Clive Bell's differing brands of pioneering aesthetic formalism. 'The main things which Moore instilled deep into our minds and characters,' Leonard Woolf recalls, 'were his peculiar passion for truth, for clarity and common sense, and a passionate belief in certain values.'
Increasing awareness of Woolf's feminism, however, and of the influence on her work of other women artists, writers and thinkers has meant that these Moorean and male points of reference, though of importance, are no longer considered adequate in approaching Woolf's work, and her intellectual development under the tutelage of women, together with her involvement with feminist thinkers and activists, is also now acknowledged. ~ Jane Goldman

If physics leads us today to a world view which is essentially mystical, it returns, in a way, to its beginning, 2,500 years ago ... This time, however, it is not only based on intuition, but also on experiments of great precision and sophistication, and on a rigorous and consistent mathematical formalism. ~ Fritjof Capra

In mathematics, students are at the mercy of rigidly applied algorithms. They learn to use certain formalisms in certain ways, often effectively, if provided with a pre-arranged signal that a particular formalism is wanted.

In social studies and the humanities, the enemies of understanding are scripts and stereotypes. Students readily believe that events occur in typical ways, and they evoke these scripts even inappropriately. For example, they regard struggles between two parties in a dispute as a "good guy versus bad guy" movie script. ~ Howard Gardner

Do not speak of God much. After a very little conversation on the highest nature, thought deserts us and we run into formalism. ~ Ralph Waldo Emerson

All these schools of though gradually transformed into legal institutions, the diversity of ideas and freedom of opinion that characterized their early development gave way to rigid formalism, strict adherence to precedent, and an almost complete stultification of independent though ~ Reza Aslan

But it is certainly not possible to insist on one hand that the formalism is complete and to insist on the other hand that its application to 'the actual' actually demands a step which cannot be derived from it. ~ Karl Popper

Form as a goal always ends in formalism. For this striving is directed not towards an inside, but towards an outside. But only a living inside has a living outside. ~ Ludwig Mies Van Der Rohe

In learning general relativity, and then in teaching it to classes at Berkeley and MIT, I became dissatisfied with what seemed to be the usual approach to the subject. I found that in most textbooks geometric ideas were given a starring role, so that a student...would come away with an impression that this had something to do with the fact that space-time is a Riemannian [curved] manifold. Of course, this was Einstein's point of view, and his preeminent genius necessarily shapes our understanding of the theory he created. However, I believe that the geometrical approach has driven a wedge between general relativity and [Quantum Field Theory]. As long as it could be hoped, as Einstein did hope, that matter would eventually be understood in geometrical terms, it made sense to give Riemannian geometry a primary role in describing the theory of gravitation. But now the passage of time has taught us not to expect that the strong, weak, and electromagnetic interactions can be understood in geometrical terms, and too great an emphasis on geometry can only obscuret he deep connections between gravitation and the rest of physics...[My] book sets out the theory of gravitation according to what I think is its inner logic as a branch of physics, and not according to its historical development. It is certainly a historical fact that when Albert Einstein was working out general relativity, there was at hand a preexisting mathematical formalism, that of Riemannian geometry, that he could an ~ Steven Weinberg

Man's primary will to know struggles against the selfsatisfied formalism of empty learning which drugs man into
the illusory calm of fulfillment. It fights against empty intellectualism,
against nihilism which has ceased wanting anything and thus has ceased wanting to know. It battles against mediocrity which never takes stock of itself and which confuses knowledge with the mere learning of facts and <> The only satisfaction which man derives from a radical commitment to knowledge is the hope of advancing the frontier of knowledge to a point beyond which he cannot advance except by transcending knowledge itself. ~ Karl Jaspers

If there is still one hellish, truly accursed thing in our time, it is our artistic dallying with forms, instead of being like victims burnt at the stake, signaling through the flames. ~ Antonin Artaud

The Concerned Photographer produces images in which genuine human feeling predominates over commercial cynicism or disinterested formalism. ~ Cornell Capa

We should bear the intelligence and taste of the architect or the gardener in how we shape the becoming of our self. Too much precision ("stringency") is simply misplaced, a formalism inappropriate to the kind of matter we have to deal with (and to be). ~ Kenny Smith

Nature allows only experimental situations to occur which can be described within the framework of the formalism of quantum mechanics ~ Werner Heisenberg

We refuse to recognize problems of form, but only problems of building. Form is not the aim of our work, but only the result. Form, by itself, does not exist. Form as an aim is formalism; and that we reject. ~ Ludwig Mies Van Der Rohe

Most of my formal choices are a combination of everything I learned about form - semiotics, linguistics, and the history of style experimentations tethered to literary movements (formalism, deconstruction, modernism, and postmodernism), and the basic principal of breaking every rule I ever learned from a patriarchal writing tradition that never included my body or experience, and thus has nothing to offer me in terms of representation. ~ Lidia Yuknavitch

What exactly is the new verse movement? The New Verse Movement of the 1910's was to make poetry relevant again by immersing it into the spaces, technologies, and social dynamics of the modern city.
And Now In The Present And Future ?
The New Verse Movement of the 21st Century follows these same beliefs. To somehow ignite the spark and to help make poetry relevant again in a new age of technologies (The Internet) and to support new & experimental as well as older poetic forms. The New Verse Movement of the 21st Century is all about change and free expression of the creative mind. ~ R.M. Engelhardt

To the average mathematician who merely wants to know his work is securely based, the most appealing choice is to avoid difficulties by means of Hilbert's program. Here one regards mathematics as a formal game and one is only concerned with the question of consistency ... The Realist position is probably the one which most mathematicians would prefer to take. It is not until he becomes aware of some of the difficulties in set theory that he would even begin to question it. If these difficulties particularly upset him, he will rush to the shelter of Formalism, while his normal position will be somewhere between the two, trying to enjoy the best of two worlds. ~ Paul Cohen

It is a mass language only in the same sense that its baseball slang is born of baseball players. That is, it is a language which is being molded by writers to do delicate things and yet be within the grasp of superficially educated people. It is not a natural growth, much as its proletarian writers would like to think so. But compared with it at its best, English has reached the Alexandrian stage of formalism and decay. ~ Raymond Chandler

Before economics can progress, it must abandon its suicidal formalism. ~ Robert Heilbroner

Formalism is music that people don't understand at first hearing. ~ Sergei Prokofiev

The rejection of all abstract formalism. Materialism reminds every science of its real source: the world men transform. No science can, whether in its history or its object, grasp its own origins within itself or constitute itself as a closed world, exhaustively defined by internal rules. Materialism refers every science and every activity to the reality they depend on, even if this dependence is masked by a great many abstract mediations: mathematics as well as logic, aesthetics as well as ethics and politics. ~ Louis Althusser

The Bluebook is an absurdity, but it endures, in fact thrives, impervious to criticism and ridicule. The judiciary navigates the sea of modernity, slowed, thrown of course, by the barnacles of legal formalism (semantic escapes from reality, impoverished sense of context, fear of math and science, insensitivity to language and culture, mangling of history, superfluous footnotes, verbosity, excessive quotation, reader-unfriendly prose, exaggeration, bluster, obsession with citation form) – an accumulation of many centuries, yet constantly augmented. There is little desire to give the hull a good scraping. There is fear that the naked hull would be unslightly, even unseaworthy. The fear is overblown. A week after all the copies of the Bluebook were burned, their absence would not be noticed. ~ Richard A. Posner

The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism. ~ Willard Van Orman Quine

The Africans and the underdeveloped peoples, contrary to what is commonly believed, are quick to build a social and political consciousness. The danger is that very often they reach the stage of social consciousness before reaching the national phase. In this case the underdeveloped countries' violent calls for social justice are combined, paradoxically enough, with an often primitive tribalism. The underdeveloped peoples behave like a starving population - which means that the days of those who treat Africa as their playground are strictly numbered. In other words, their power cannot last forever. A bourgeoisie that has only nationalism to feed the people fails in its mission and inevitably gets tangled up in a series of trials and tribulations. If nationalism is not explained, enriched, and deepened, if it does not very quickly turn into a social and political consciousness, into humanism, then it leads to a dead end. A bourgeois leadership of the underdeveloped countries confines the national consciousness to a sterile formalism. Only the massive commitment by men and women to judicious and productive tasks gives form and substance to this consciousness. ~ Frantz Fanon

The alternative Kennan described as the "particularized" approach. It was "skeptical of any scheme for compressing international affairs into legalist concepts. It holds that the content is more important than the form, and will force its way through any formal structure which is placed upon it. It considers that the thirst for power is still dominant among so many peoples that it cannot be assuaged or controlled by anything but counter-force." Particularism would not reject the idea of joining with other governments to preserve world order, but to be effective such alliances would have to be based "upon real community of interest and outlook, which is to be found only among limited groups of governments, and not upon the abstract formalism of universal international law or international organization. ~ John Lewis Gaddis