For many, this would appear to be _______ 141 _______ with chalk and cheese. One is the _______ 142 _______ of emotional expression, passion and aesthetics. The other is a world of logic, precision and truth. And yet _______ 143 _______ the surface of these stereotypes and one discovers that the two worlds have much more in common than one might expect.Any creative artist will tell you that the emotional resonance (共鸣) of a piece _______ 144 _______ out of the construction of the work and is rarely an ingredient fed in at the beginning of a composition. The composer Philip Glass admits that he never deliberately programs any emotional _______ 145 _______ in his work. He believes it is generated _______ 146 _______ as a result of all the processes that he _______ 147 _______. "I find that the music almost always has some emotional quality in it; it seems independent of my intentions." The structure and internal logic of a piece is what drives its composition.Mathematicians are storytellers. Our characters are numbers and _______ 148 _______. Perhaps more surprising is the role that emotions and passion play in the mathematics that we humans create. Mathematics is far from being just a list of all the true _______ 149 _______ that we can discover about number. Our narratives are the proofs we create about these characters.Music is probably the artistic discipline that traditionally has resonated most closely with the world of mathematics. And mathematical structures also _______ 150 _______ the architecture of composition.

Art and mathematics. For many, this would appear to be _______ 141 _______ with chalk and cheese. One is the _______ 142 _______ of emotional expression, passion and aesthetics. The other is a world of logic, precision and truth. And yet _______ 143 _______ the surface of these stereotypes and one discovers that the two worlds have much more in common than one might expect.

Any creative artist will tell you that the emotional resonance (共鸣) of a piece _______ 144 _______ out of the construction of the work and is rarely an ingredient fed in at the beginning of a composition. The composer Philip Glass admits that he never deliberately programs any emotional _______ 145 _______ in his work. He believes it is generated _______ 146 _______ as a result of all the processes that he _______ 147 _______. "I find that the music almost always has some emotional quality in it; it seems independent of my intentions." The structure and internal logic of a piece is what drives its composition.

Mathematicians are storytellers. Our characters are numbers and _______ 148 _______. Perhaps more surprising is the role that emotions and passion play in the mathematics that we humans create. Mathematics is far from being just a list of all the true _______ 149 _______ that we can discover about number. Our narratives are the proofs we create about these characters.

Music is probably the artistic discipline that traditionally has resonated most closely with the world of mathematics. And mathematical structures also _______ 150 _______ the architecture of composition.