QuoteProject
In mathematical quarters, the regular division of the plane has been considered theoretically. ... [Mathematicians] have opened the gate leading to an extensive domain, but they have not entered this domain themselves. By their very nature they are more interested in the way in which the gate is opened than in the garden lying behind it.
M. C. Escher
ShareWTF𝕏

Interpretation

What this quote means

Mathematicians focus on the principles and theories behind mathematics rather than the practical applications or its creative aspects.

M. C. Escher's quote reflects the idea that while mathematicians are adept at exploring the theoretical foundations of their field, they often overlook the potential wonders and creativity that lie beyond these theories. The 'gate' represents the entry point into a broader, more imaginative realm of mathematics and its applications, suggesting that a deep understanding of theory does not necessarily lead to an appreciation of the beauty and creativity that can arise from practical exploration.

Themes

MathematicsTheoryCreativityExplorationImagination

In practice

Example use cases

During a lecture on the philosophical implications of mathematics, this quote could illustrate how theoretical advancements can lead to new realms of inquiry.

More from M. C. Escher

We adore chaos because we love to produce order.
M. C. EscherRead
I could fill an entire second life with working on my prints.
M. C. EscherRead
Simplicity and order are, if not the principal, then certainly the most important guidelines for human beings in general.
M. C. EscherRead
For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art.
M. C. EscherRead
He who wonders discovers that this in itself is wonder.
M. C. EscherRead
All my works are games, serious game.
M. C. EscherRead

Similar quotes

So long as we use a certain language, all questions that we can ask will have to be formulated in it and will thereby confirm the theory of the universe which is implied in the vocabulary and structure of the language.
Michael PolanyiRead
Cosmic evolution may teach us how the good and evil tendencies of man may have come about; but, in itself, it is incompetent to furnish any better reason why what we call good is preferable to what we call evil than we had before. Some day, I doubt not, we shall arrive at an understanding of the evolution of the aesthetic faculty; but all the understanding in the world will neither increase nor diminish the force of the intuition that this is beautiful and that is ugly.
Thomas HuxleyRead
Instantaneous and mass communication is the mother of mass naivety. Should we then lose hope? Is there any hope? But to lose hope is as dangerous as to nurture false hope. Where then can we find hope that is responsible?
Tariq RamadanRead
All humans are entrepreneurs not because they should start companies but because the will to create is encoded in human DNA.
Reid HoffmanRead
But in the expression of the countenance, which was beaming all over with smiles, there still lurked (incomprehensible anomalyl) that fitful strain of melancholy which will ever be found inseparable from the perfection of the beautiful.
Edgar Allan PoeRead
The fact remains that secularism is inherent in the Indian system, in the Indian ethos and culture. India cannot but be secular.
Pranab MukherjeeRead

A little wisdom, now and then

Subscribe for the occasional hand-picked quote. No noise.