There are many mathematical quotes left by famous masters in history, and through these quotes, we can have more understanding of the nature of mathematics.
Pure mathematics enables us to discover concepts and the laws that connect them, and these concepts and laws give us the key to understanding natural phenomena. ——A.Einstein
History makes people wise, poetry makes people witty, mathematics makes people refined, philosophy makes people profound, morality makes people serious, logic and rhetoric make people argumentative. ——F.Bacon
In the field of mathematics, the art of asking questions is more important than the art of answering questions. ——G.Cantor
God created integers, and all the rest of the numbers are man-made. - Kronecker
The value of mathematical knowledge to us is not only because it is a powerful tool, but also because mathematics itself is perfect. In the unfolding of mathematics, both internally and externally, we see the purest activity of logical thinking, as well as the aesthetic embodiment of the highest level of intelligence and vitality. ——A.Pringsheim
One reason why mathematics is respected more than all other sciences is because its propositions are absolutely reliable and indisputable, and other sciences are often in danger of being overturned by newly discovered facts. ... Another reason why mathematics has a high reputation is that mathematics makes the natural sciences theoremized and gives them a certain degree of reliability. — Albert Einstein
Mathematics is a spirit, a spirit of reason. It is this spirit that inspires, promotes, inspires and drives the human mind to the fullest extent, and it is this spirit that attempts to decisively influence the material, moral and social life of mankind; to answer the questions raised about man's own existence; to try to understand and control nature; to try to explore and establish the deepest and most perfect connotation of knowledge that has been acquired. --Klein
Mathematics is one of the main expressions of the free creativity of the human mind in addition to language and music, and mathematics is the medium for understanding everything in the universe through theoretical construction. Therefore, mathematics must remain the main building block of knowledge, skills and culture, which must be passed on to the next generation and culture. ——HermannWeyl
Mathematics is the king of science. - Gauss
Mathematics is symbolic plus logic. --Russell
Numbers dominate the universe. - Pythagoras
Mathematics is a unique art. --Halmos
Mathematics is the highest achievement in human thinking. - Misra
Mathematics is the theory of abstract structures. —The Bourbagh school
Mathematics is God's symbol for describing nature. - Hegel
Mathematics is a culture that is constantly evolving. —Weilde (President of the Mathematical Society of America)
Mathematics is the highest form of all knowledge. — Plato
Mathematics is the most brilliant jewel in the crown of human intelligence. - Court
Mathematics is a tool of knowledge and a source of other tools of knowledge. All the sciences of the sequence and measurement of studies are mathematically related. - Descartes
Mathematics is the science of quantitative relations and spatial forms in real life. - Engels
Mathematics is a rational spirit that enables the human mind to be applied to its fullest extent. --Klein
Given space, time, and logarithm, I can create a universe. - Galileo Galilei
Books of nature are written in the language of mathematics. - Galileo Galilei
Mathematics is the door and key to science. - Roger Bacon
God is always arithmeticizing the world. - Carl Jacobi
God is always geometricifying the world. — Plato
Mathematics is the only good metaphysics. - Kelvin
The main purpose of the study of the external world is to discover the rational order and harmony that God has given it, which God reveals to us in mathematical language. - Kepler
Numbers can be said to rule the entire world of quantities, while the arithmetic four can be considered as the perfect equipment of mathematicians. --Maxwell
Mathematics as a whole encompasses the organization of a series of tools that assist us in the process of thinking. —Whitehead
The tome of nature is written in mathematical symbols. - Galileo Galilei
Pure mathematics, by its very nature, is the Psalm of logical thought. — Albert Einstein
Arithmetic is one of the oldest branches of human knowledge, perhaps the oldest branch; yet some of its most profound secrets are close to its mundane truths. —Henry John Smith (1826-1883)
The great architects of the universe are now beginning to emerge as pure mathematicians. - Jeans
The essence of mathematics is the recognition of the logical relations inherent in concepts that appear to be completely different on the surface. The most successful mathematicians are those with the widest knowledge, conceptual analogies, and the strongest imagination. - Edward
Don't think of mathematics as something hard, deadlocked, obnoxious, contrary to common sense, it is nothing more than something that gives common sense spirituality. - Kelvin
The charm of mathematics is that it is an interesting subject. - Parkert
Rigor plays a decisive role in the purification of mathematics. —Boston (Tim Postton)
The rigor of mathematics is like clothing. Its style should be timely, whether too loose or too tight, it will make it less comfortable and less convenient to move. --G. Simmons F． Simmons)
A mathematical truth is neither simple nor complex in itself; it is what it is. - Emile
Any branch of mathematics, no matter how abstract it may be, will one day find applications in the real world. --Robachevsky
Detaching mathematics from practical needs is like shutting a cow up and keeping her from touching it. - Chebyshev
In most disciplines, the architecture of one generation is often destroyed by another, and the creation of one person is destroyed by another; only in mathematics, each generation adds a floor to the old edifice. - Hankel
The essence of mathematics lies in its freedom. - Cantor
As for any attempt to separate a discipline from its history, I am convinced that no discipline has suffered more than mathematics. - Glaisher
Mathematics is one of the oldest sciences, yet it is one of the most active because its power comes from the vitality of eternal youth. --Forsyth
It's a solid rule, and when the author of a mathematical or philosophical work writes in vague and esoteric terms, he's talking nonsense. —Whitehead
Mathematics is not the technique of accounting and counting, just as architecture is not the technique of brick-cutting, painting is not the technique of color grading, geology is not the technique of breaking rocks, and anatomy is not the technique of slaughter. - Kaiser
Mathematics is proving the most obvious things in the least obvious way. - Boia
Rigor is to mathematicians what morality is to man. - Wey
The essence of mathematics lies in the constant search for increasingly simple methods to prove theorems and solve mathematical problems. — Gardner
A good mathematician is at least half a philosopher; a good philosopher is at least half a mathematician. --Frege
Mathematical concepts are abstract in nature, and their degree of abstraction is usually one level higher than that of logic. - Kristol
Logic is different from mathematics, just like children and adults; logic is the early stage of mathematics, and mathematics is the adulthood of logic. --Russell
All the best inspiration in mathematics, even in the purest mathematics one can imagine, comes from the natural sciences. ——Feng. Neumann