A Quote by G. H. Hardy

Chess problems are the hymn-tunes of mathematics. — © G. H. Hardy
Chess problems are the hymn-tunes of mathematics.
The broader the chess player you are, the easier it is to be competitive, and the same seems to be true of mathematics - if you can find links between different branches of mathematics, it can help you resolve problems. In both mathematics and chess, you study existing theory and use that to go forward.
A chess problem is genuine mathematics, but it is in some way "trivial" mathematics. However, ingenious and intricate, however original and surprising the moves, there is something essential lacking. Chess problems are unimportant. The best mathematics is serious as well as beautiful-"important" if you like, but the word is very ambiguous, and "serious" expresses what I mean much better.
I love speculating about solutions to problems in mathematics. I have no interest whatever in sudoku. But I do look at chess and bridge problems in newspapers. I find that relaxing.
It is impossible to overstate the imporance of problems in mathematics. It is by means of problems that mathematics develops and actually lifts itself by its own bootstraps... Every new discovery in mathematics, results from an attempt to solve some problem.
Hymn tunes are the nearest we've got to English folk music.
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.
My sister Susan, who was the first one, was pretty good in mathematics and then chess, and my father chose chess because it was easier to measure the results.
I sing the hymn of the conquered, who fell in the Battle of Life,-The hymn of the wounded, the beaten, who died overwhelmed in the strife....The hymn of the low and the humble, the weary, the broken in heart,Who strove and who failed, acting bravely a silent and desperate part.
Chess is not Mathematics, where ten is always more than one; in chess the King with a pawn can beat opponent's King with all pieces if they are placed badly.
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions
Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box - a valuable ability in today's world.
I do very few standards. Hardly any. Other people's tunes that I do are usually obscure tunes, for the most part, although I do a couple of Duke Ellington tunes that are well known.
I ... have two vocations: chess and engineering. If I played chess only, I believe that my success would not have been significantly greater. I can play chess well only when I have fully convalesced from chess and when the 'hunger for chess' once more awakens within me.
I hope 'Chess' will hit the big screen. It seems a natural to me. Good venues, tunes, and politics.
A bird sings, a child prattles, but it is the same hymn; hymn indistinct, inarticulate, but full of profound meaning.
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