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Difficulty Quotes

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Difficulty Quotes

“When a man points a finger at someone else, he should remember that three of his fingers are pointing at himself. Do not worry about your difficulties in mathematics; I can assure you that mine are still greater.”

Men Should Stills I Can Remember Three Worry Greater Mines Difficulty Mathematics Fingers Pointing

Author:Albert Einstein

“The confusion, the difficulties, the contradictions which, in consequence of a want of accurate distinctions in this particular, have up to even a recent period encumbered mathematics in all those branches involving the consideration of negative and impossible quantities, will at once occur to the reader who is at all versed in this science, and would alone suffice to justify dwelling somewhat on the point, in connexion with any subject so peculiarly fitted to give forcible illustration of it as the Analytical Engine.”

“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.”

“Lagrange, in one of the later years of his life, imagined that he had overcome the difficulty (of the parallel axiom). He went so far as to write a paper, which he took with him to the Institute, and began to read it. But in the first paragraph something struck him that he had not observed: he muttered: 'Il faut que j'y songe encore', and put the paper in his pocket.' [I must think about it again]”

Thinking Writing Years Firsts Paper Overcoming Difficulty Mathematics Pockets Parallels Institute Paragraph Axioms Encores

Author:Augustus De Morgan

“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

“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

“The best therapy for emotional blocks to math is the realization that the human race took centuries or millennia to see through the mist of difficulties and paradoxes which instructors now invite us to solve in a few minutes.”

Humans Race Minutes Century Emotional Difficulty Mathematics Solve Math Block Realization Therapy Human Race Paradox Invites Mist Instructors

Author:Lancelot Hogben

“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.”

“Considering how many fools can calculate, it is surprising that it should be thought either a difficult or a tedious task for any other fool to learn how to master the same tricks... Being myself a remarkably stupid fellow, I have had to unteach myself the difficulties, and now beg to present to my fellow fools the parts that are not hard. Master these thoroughly, and the rest will follow. What one fool can do, another can.”

Should Hard Difficult Can Do Education Stupid Masters Fool Tasks Difficulty Mathematics Fellows Math Tricks Surprising Considering Tedious Being Myself

Book:Calculus Made Easy: Differential Calculus and the Integral Calculus

Source: Calculus Made Easy: Differential Calculus and the Integral Calculus

“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.”