SOME [MATHS + SCIENCE] QUOTATIONS

COLLECTED FROM VARIOUS SOURCES BY R. KESAVAN.

E-mail: [email protected]

1.A teacher without teaching capability is like a fox who effaces his tracks in the sand with his tail.

2. If you put into the machine wrong figures, will the right answers come out?

3.Life is a school of Probability.

4."Obvious" is the most dangerous word in mathematics.

5.I recognize the lion by his paw. [After reading an anonymous solution to a problem that he realized was Newton's solution.]

6.A mathematician's reputation rests on the number of bad proofs he has given.

7.It isn't that they can't see the solution. It is that they can't see the problem.

8.When a mathematician was asked how old he was, he muttered, he was 'x' years old in the year 'x^2'.

9. It is easier to square the circle than to get round a mathematician.

10.Each problem that I solved became a rule which served afterwards to solve other problems.

11.Perfect numbers like perfect men are very rare.

12.There are three kinds of lies: lies, damned lies, and statistics.

13.When you have eliminated the impossible, what ever remains, however improbable must be the truth.

14.From a drop of water a logician could predict an Atlantic or a Niagara.

15.It is a capital mistake to theorize before one has data.

16.Gauss replied, when asked how soon he expected to reach certain mathematical conclusions, he worried not how soon but how to reach.

17.Logic, like whiskey, loses its beneficial effect when taken in too large quantities.

18.Proof is the idol before whom the pure mathematician tortures himself.

19.The truth of a theory is in your mind, not in your eyes.

20.If my theory of relativity is proven successful, Germany will claim me as a German and England will call me a jew, but if it is otherwise, Germany will accuse me a jew and England will address me a German.

21.Science without religion is lame; religion without science is blind.

22. Now I will have less distraction. [upon losing the use of his right eye, Euler said]

23.There are no deep theorems -- only theorems that we have not understood very well.

24.The shortest distance between two persons is the smile that one flashes.

25.I remember once going to see him when he was lying ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways." [G.H.Hardy quoted on Ramanujan]

26.Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.

27.An expert is someone who knows some of the worst mistakes that can be made in his subject, and how to avoid them.

28.One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it.

29.Descartes commanded the future from his study more than Napoleon from the throne.

30.A topologist is one who doesn't know the difference between a doughnut and a coffee cup.

31.A proof tells us where to concentrate our doubts.

32.Logic is the art of going wrong with confidence.

33.Universities hire professors the way some men choose wives - they want the ones the others will admire.

34.He uses statistics as a drunken man uses lamp posts -- for support rather than illumination.

35.What we know is not much. What we do not know is immense.

36.A linguist would be shocked to learn that if a set is not closed this does not mean that it is open, or again that "E is dense in E" does not mean the same thing as "E is dense in itself".

37.A precisian professor had the habit of saying: "... quartic polynomial ax^4+bx^3+cx^2+dx+e , where e need not be the base of the natural logarithms."

38.Medicine makes people ill, mathematics make them sad and theology makes them sinful.

39.It is now quite lawful for a Catholic woman to avoid pregnancy by a resort to mathematics, though she is still forbidden to resort to physics and chemistry.

40.An expert geologist may fail to find the golden treasure trove below the earth, but a lucky geologist can,

41.To state a theorem and then to show examples of it is literally to teach backwards.

42.A good preparation takes longer than the delivery.

43.We are usually convinced more easily by reasons we have found ourselves than by those which have occurred to others.

44.It is the heart which perceives God and not the reason.

45.Contradiction is not a sign of falsity, nor the lack of contradiction a sign of truth.

46.The more I see of men, the better I like my dog; likewise, the more I study other subjects, the better I like Mathematics.

47.Mathematics consists of proving the most obvious thing in the least obvious way.

48.A mathematician is one, when he writes a, says b, and means c,which should actually be 'd'.

49.Mathematics is the cheapest subject,uses only pen and paper unlike using gadgets and equipments.

50.There are many questions which fools can ask that wise men cannot answer.

51.The Mean Value Theorem is the midwife of calculus -- not very important or glamorous by itself, but often helping to delivery other theorems that are of major significance.

52.In an examination those who do not wish to know ask questions and those who do not wish to answer, answer.

53.If you would make a man happy, do not add to his possessions but subtract from the sum of his desires.

54.Though this be madness, yet there is method in't.

55.Fourier series is a mathematical poem.

56.A man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself. The larger the denominator the smaller the fraction.

57.No Roman ever died in contemplation over a geometrical diagram. [A reference to the death of Archimedes.]

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