Home / Topics / Difficulty Quotes

Difficulty Quotes

Browse 2667 quotes about Difficulty.

Difficulty Quotes

“Our design, not respecting arts, but philosophy, and our subject, not manual, but natural powers, we consider chiefly those things which relate to gravity, levity, elastic force, the resistance of fluids, and the like forces, whether attractive or impulsive; and therefore we offer this work as mathematical principles of philosophy; for all the difficulty of philosophy seems to consist in this from the phenomena of motions to investigate the forces of nature, and then from these forces to demonstrate the other phenomena.”

Source: Newton's Principia: The Mathematical Principles of Natural Philosophy

“The chief difficulty of modern theoretical physics resides not in the fact that it expresses itself almost exclusively in mathematical symbols, but in the psychological difficulty of supposing that complete nonsense can be seriously promulgated and transmitted by persons who have sufficient intelligence of some kind to perform operations in differential and integral calculus.”

Source: The decline and fall of science

“I have a name for people who went to the extreme efficient market theory-which is "bonkers". It was an intellectually consistent theory that enabled them to do pretty mathematics. So I understand its seductiveness to people with large mathematical gifts. It just had a difficulty in that the fundamental assumption did not tie properly to reality.”

People Reality Names Theory Difficulty Mathematics Fundamentals Extremes Mathematical Ties Assumption Consistent Efficient Efficient Markets

Author:Charlie Munger

“The mathematical tilt remains basic to my epistemological perspective, my howling plea in the still of night for epistemic humility. Mathematics gave me that as, also, did the difficulty I had in talking to my parents. How proofs are conceived is unfathomable. Clearly, there are certain conditions in which the revelation takes place.”

Night Parent Humility Perspective Difficulty Mathematics Mathematical Revelations

Author:Zia Haider Rahman

“God does not care about our mathematical difficulties. He integrates empirically.”

“When the difficulty of a problem lies only in finding out what follows from certain fixed premises, mathematical methods furnish invaluable wings for flying over intermediate obstructions.”

Problem Science Lying Certain Findings Difficulty Mathematics Method Wings Flying Mathematical Fixed Premises Invaluable Obstruction

Author:Arthur M. Wellington

“The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed, which can lead to an explanation of the main features of complex atomic systems without too much computation.”

Source: Sammlung

“What makes the theory of relativity so acceptable to physicists in spite of its going against the principle of simplicity is its great mathematical beauty. This is a quality which cannot be defined, any more than beauty in art can be defined, but which people who study mathematics usually have no difficulty in appreciating.”

People Art Quality Principles Study Theory Appreciate Difficulty Mathematics Simplicity Defined Mathematical Spite Acceptable Physicist Relativity Theories Of Relativity Mathematical Beauty

Book:Sammlung

Source: Sammlung

“Nature laughs at the difficulties of integration.”

Nature Laughing Difficulty Mathematics Mathematical Integration Computation

Author:Pierre-Simon Laplace

“Among the minor, yet striking characteristics of mathematics, may be mentioned the fleshless and skeletal build of its propositions; the peculiar difficulty, complication, and stress of its reasonings; the perfect exactitude of its results; their broad universality; their practical infallibility.”

Source: Collected papers of Charles Sanders Peirce

“Can the difficulty of an exam be measured by how many bits of information a student would need to pass it? This may not be so absurd in the encyclopedic subjects but in mathematics it doesn't make any sense since things follow from each other and, in principle, whoever knows the bases knows everything. All of the results of a mathematical theorem are in the axioms of mathematics in embryonic form, aren't they?”

Knows Needs May Form Bits Results Principles Subjects Information Students Bases Difficulty Mathematics Absurd Mathematical Axioms Exam Theorems

Book:A diary on information theory

Source: A diary on information theory

“I soon found an opportunity to be introduced to a famous professor Johann Bernoulli. ... True, he was very busy and so refused flatly to give me private lessons; but he gave me much more valuable advice to start reading more difficult mathematical books on my own and to study them as diligently as I could; if I came across some obstacle or difficulty, I was given permission to visit him freely every Sunday afternoon and he kindly explained to me everything I could not understand.”

“By the time the average person finishes college, he or she will have taken over 2,600 tests, quizzes, and exams. The right answer approach becomes deeply ingrained in our thinking. This may be fine for some mathematical problems where there is in fact only one right answer. The difficulty is that most of life isn’t this way. Life is ambiguous; there are many right answers- all depending on what you’re looking for. But if you think there is only one right answer, then you’ll stop looking as soon as you find one.”

“Mathematical study and research are very suggestive of mountaineering. Whymper made several efforts before he climbed the Matterhorn in the 1860's and even then it cost the life of four of his party. Now, however, any tourist can be hauled up for a small cost, and perhaps does not appreciate the difficulty of the original ascent. So in mathematics, it may be found hard to realise the great initial difficulty of making a little step which now seems so natural and obvious, and it may not be surprising if such a step has been found and lost again.”