GMT考试--Testprep数学精解1
来源:优易学  2010-1-23 12:58:04   【优易学:中国教育考试门户网】   资料下载   外语书店
ARGUMENTS INTRODUCTION

  AN ARGUMENT, AS USED ON THE GMAT, IS A PRESENTATION OF FACTS AND OPINIONS IN

  ORDER TO SUPPORT A POSITION. MANY ARGUMENTS WILL BE FALLACIOUS. AND MANY CO

  RRECT ANSWERS WILL BE FALSE! THIS OFTEN CAUSES STUDENTS MUCH CONSTERNATION;

  THEY FEEL THAT THE CORRECT ANSWER SHOULD BE TRUE. BUT THE ARGUMENTS ARE INTE

  NDED TO TEST YOUR ABILITY TO THINK LOGICALLY. NOW LOGIC IS THE STUDY OF THE

  RELATIONSHIPS BETWEEN STATEMENTS, NOT OF THE TRUTH OF THOSE STATEMENTS. BEIN

  G OVERLY CONCERNED WITH FINDING THE TRUTH CAN BE RUINOUS TO YOUR GMAT ARGUME

  NT SCORE.

  "2 OUT OF 5" RULE

  CREATING A GOOD BUT INCORRECT ANSWER-CHOICE IS MUCH HARDER THAN DEVELOPING T

  HE CORRECT ANSWER. FOR THIS REASON, USUALLY ONLY ONE ATTRACTIVE WRONG ANSWER

  -CHOICE IS PRESENTED. THIS IS CALLED THE "2 OUT OF 5" RULE. THAT IS, ONLY TW

  O OF THE FIVE ANSWER-CHOICES WILL HAVE ANY REAL MERIT. HENCE, EVEN IF YOU DO

  N’T FULLY UNDERSTAND AN ARGUMENT, YOU PROBABLY CAN STILL ELIMINATE THE THREE

  FLUFF CHOICES, THEREBY GREATLY INCREASING YOUR ODDS OF ANSWERING THE QUESTI

  ON CORRECTLY.

  LOGIC I

  ALTHOUGH IN THEORY THE ARGUMENT QUESTIONS ARE DESIGNED TO BE ANSWERED WITHOU

  T ANY REFERENCE TO FORMAL LOGIC, THE SECTION IS ESSENTIALLY A LOGIC TEST. SO

  ME KNOWLEDGE OF THE FUNDAMENTALS OF LOGIC, THEREFORE, WILL GIVE YOU A DEFINI

  TE ADVANTAGE. ARMED WITH THIS KNOWLEDGE, YOU SHOULD QUICKLY NOTICE THAT THE

  ARGUMENTS ARE FUNDAMENTALLY EASY AND THAT MOST OF THEM FALLSINTOSA FEW BASIC

  CATEGORIES. IN THIS SECTION, WE WILL STUDY THE LOGICAL STRUCTURE OF ARGUMEN

  TS. IN LOGIC II, WE WILL SYMBOLIZE AND DIAGRAM ARGUMENTS IN MUCH THE SAME WA

  Y AS WE DID WITH GAMES.

  CONCLUSIONS

  MOST ARGUMENT QUESTIONS HINGE, EITHER DIRECTLY OR INDIRECTLY, ON DETERMINING

  THE CONCLUSION OF THE ARGUMENT. THE CONCLUSION IS THE MAIN IDEA OF THE ARGU

  MENT. IT IS WHAT THE WRITER TRIES TO PERSUADE THE READER TO BELIEVE. MOST OF

  TEN THE CONCLUSION COMES AT THE END OF THE ARGUMENT. THE WRITER ORGANIZES TH

  E FACTS AND HIS OPINIONS SO THAT THEY BUILD UP TO THE CONCLUSION. SOMETIMES,

  HOWEVER, THE CONCLUSION WILL COME AT THE BEGINNING OF AN ARGUMENT, RARELY D

  OES IT COME IN THE MIDDLE, AND OCCASIONALLY, FOR RHETORICAL EFFECT, THE CONC

  LUSION IS NOT EVEN STATED.

  EXAMPLE:

  THE POLICE ARE THE ARMED GUARDIANS OF THE SOCIAL ORDER. THE BLACKS ARE THE C

  HIEF DOMESTIC VICTIMS OF THE AMERICAN SOCIAL ORDER. A CONFLICT OF INTEREST E

  XISTS, THEREFORE, BETWEEN THE BLACKS AND THE POLICE.--ELDRIDGE CLEAVER, SOUL

  ON ICE

  HERE THE FIRST TWO SENTENCES ANTICIPATE OR SET UP THE CONCLUSION. BY CHANGIN

  G THE GRAMMAR SLIGHTLY, THE CONCLUSION CAN BE PLACED AT THE BEGINNING OF THE

  ARGUMENT AND STILL SOUND NATURAL:

  A CONFLICT OF INTEREST EXISTS BETWEEN THE BLACKS AND THE POLICE BECAUSE THE

  POLICE ARE THE ARMED GUARDIANS OF THE SOCIALSGROUPSAND THE BLACKS ARE THE CH

  IEF DOMESTIC VICTIMS OF THE AMERICAN SOCIAL ORDER.

  THE CONCLUSION CAN ALSO BE FORCEDSINTOSTHE MIDDLE:

  THE POLICE ARE THE ARMED GUARDIANS OF THE SOCIAL ORDER. SO A CONFLICT OF INT

  EREST EXISTS BETWEEN THE BLACKS AND THE POLICE BECAUSE THE BLACKS ARE THE CH

  IEF DOMESTIC VICTIMS OF THE AMERICAN SOCIAL ORDER.

  IT IS GENERALLY AWKWARD, AS IN THE PREVIOUS PARAGRAPH, TO PLACE THE CONCLUSI

  ON IN THE MIDDLE OF THE ARGUMENT BECAUSE THEN IT CANNOT BE FULLY ANTICIPATED

  BY WHAT COMES BEFORE NOR FULLY EXPLAINED BY WHAT COMES AFTER. ON THE RARE O

  CCASION WHEN A CONCLUSION COMES IN THE MIDDLE OF AN ARGUMENT, MOST OFTEN EIT

  HER THE MATERIAL THAT COMES AFTER IT OR THE MATERIAL THAT COMES BEFORE IT IS

  NOT ESSENTIAL.

  IN SUMMARY: TO FIND THE CONCLUSION, CHECK THE LAST SENTENCE OF THE ARGUMENT.

  IF THAT IS NOT THE CONCLUSION, CHECK THE FIRST SENTENCE. RARELY DOES THE CO

  NCLUSION COME IN THE MIDDLE OF AN ARGUMENT.

  WHEN DETERMINING THE MEANING OF A CONCLUSION, BE CAREFUL NOT TO READ ANY MOR

  ESINTOSIT THAN WHAT THE AUTHOR STATES. ALTHOUGH ARGUMENTS ARE NOT WORDED AS

  PRECISELY AS GAMES, YOU STILL NEED TO READ THEM WITH MORE CARE THAN YOU WOUL

  D USE IN YOUR EVERYDAY READING.

  AS WITH GAMES, READ THE WORDS AND SENTENCES OF AN ARGUMENT PRECISELY, AND US

  E THEIR LITERAL MEANING.

  FOR EXAMPLE, CONSIDER THE MEANING OF SOME IN THE SENTENCE "SOME OF MARY’S FR

  IENDS WENT TO THE PARTY." IT WOULD BE UNWARRANTED, BASED ON THIS STATEMENT,

  TO ASSUME THAT SOME OF MARY’S FRIENDS DID NOT GO TO THE PARTY. ALTHOUGH IT M

  AY SEEM DECEIVING TO SAY THAT SOME OF MARY’S FRIENDS WENT TO THE PARTY WHEN

  IN FACT ALL OF THEM DID, IT IS NONETHELESS TECHNICALLY CONSISTENT WITH THE M

  EANING OF SOME.

  SOME MEANS "AT LEAST ONE AND PERHAPS ALL."

  AS MENTIONED BEFORE, THE CONCLUSION USUALLY COMES AT THE END OF AN ARGUMENT,

  SOMETIMES AT THE BEGINNING, AND RARELY IN THE MIDDLE. WRITERS USE CERTAIN W

  ORDS TO INDICATE THAT THE CONCLUSION IS ABOUT TO BE STATED. FOLLOWING IS A L

  IST OF THE MOST COMMON CONCLUSION INDICATORS:

  CONCLUSION INDICATORS

  HENCE THEREFORE

  SO ACCORDINGLY

  THUS CONSEQUENTLY

  FOLLOWS THAT SHOWS THAT

  CONCLUDE THAT IMPLIES

  AS A RESULT MEANS THAT

  MOST OFTEN THE CONCLUSION OF AN ARGUMENT IS PUT IN THE FORM OF A STATEMENT.

  SOMETIMES, HOWEVER, THE CONCLUSION IS GIVEN AS A COMMAND OR OBLIGATION.

  EXAMPLE:

  ALL THINGS CONSIDERED, YOU OUGHT TO VOTE.

  HERE, THE AUTHOR IMPLIES THAT YOU ARE OBLIGED TO VOTE.

  THE CONCLUSION CAN EVEN BE PUT IN THE FORM OF A QUESTION. THIS RHETORICAL TE

  CHNIQUE IS QUITE EFFECTIVE IN CONVINCING PEOPLE THAT A CERTAIN POSITION IS C

  ORRECT. WE ARE MORE LIKELY TO BELIEVE SOMETHING IF WE FEEL THAT WE CONCLUDED

  IT ON OUR OWN, OR AT LEAST IF WE FEEL THAT WE WERE NOT TOLD TO BELIEVE IT.

  A CONCLUSION PUT IN QUESTION FORM CAN HAVE THIS RESULT.

  EXAMPLE:

  THE NANUUTS BELIEVE THAT THEY SHOULD NOT TAKE FROM NATURE ANYTHING SHE CANNO

  T REPLENISH DURING THEIR LIFETIME. THIS ASSURES THAT FUTURE GENERATIONS CAN

  ENJOY THE SAME RICHES OF NATURE THAT THEY HAVE. AT THE CURRENT RATE OF DESTR

  UCTION, THE RAIN FORESTS WILL DISAPPEAR DURING OUR LIFETIME. DO WE HAVE AN O

  BLIGATION TO FUTURE GENERATIONS TO PREVENT THIS RESULT?

  HERE THE AUTHOR TRUSTS THAT THE POWER OF HER ARGUMENT WILL PERSUADE THE READ

  ER TO ANSWER THE QUESTION AFFIRMATIVELY.

  TAKING THIS RHETORICAL TECHNIQUE ONE STEP FURTHER, THE WRITER MAY BUILD UP T

  O THE CONCLUSION BUT LEAVE IT UNSTATED. THIS ALLOWS THE READER TO MAKE UP HI

  S OWN MIND. IF THE BUILD-UP IS DONE SKILLFULLY, THE READER WILL BE MORE LIKE

  LY TO AGREE WITH THE AUTHOR, WITHOUT FEELING MANIPULATED.

  EXAMPLE:

  HE WHO IS WITHOUT SIN SHOULD CAST THE FIRST STONE. THERE IS NO ONE HERE WHO

  DOES NOT HAVE A SKELETON IN HIS CLOSET.

  THE UNSTATED BUT OBVIOUS CONCLUSION HERE IS THAT NONE OF THE PEOPLE HAS THE

  RIGHT TO CAST THE FIRST STONE.

  WHEN DETERMINING THE CONCLUSION’S SCOPE BE CAREFUL NOT TO READ ANY MORE OR L

  ESSSINTOSIT THAN THE AUTHOR STATES. GMAT WRITERS OFTEN CREATE WRONG ANSWER-C

  HOICES BY SLIGHTLY OVERSTATING OR UNDERSTATING THE AUTHOR’S CLAIM. CERTAIN W

  ORDS LIMIT THE SCOPE OF A STATEMENT. THESE WORDS ARE CALLED QUANTIFIERS--PAY

  CLOSE ATTENTION TO THEM. FOLLOWING IS A LIST OF THE MOST IMPORTANT QUANTIFI

  ERS:

  QUANTIFIERS

  ALL EXCEPT LIKELY

  SOME MOST MANY

  ONLY COULD NO

  NEVER ALWAYS EVERYWHERE

  PROBABLY MUST ALONE

  EXAMPLE:

  WHETHER THE WORLD IS EUCLIDEAN OR NON-EUCLIDEAN IS STILL AN OPEN QUESTION.

  HOWEVER, IF A STAR’S POSITION IS PREDICTED BASED ON NON-EUCLIDEAN GEOMETRY,

  THEN WHEN A TELESCOPE IS POINTED TOSWHERESTHE STAR SHOULD BE IT WILL BE THER

  E. WHEREAS, IF THE STAR’S POSITION IS PREDICTED BASED ON EUCLIDEAN GEOMETRY,

  THEN WHEN A TELESCOPE IS POINTED TOSWHERESTHE STAR SHOULD BE IT WON’T BE TH

  ERE. THIS STRONGLY INDICATES THAT THE WORLD IS NON-EUCLIDEAN.

  WHICH ONE OF THE FOLLOWING BEST EXPRESSES THE MAIN IDEA OF THE PASSAGE?

  (A) THE WORLD MAY OR MAY NOT BE EUCLIDEAN.

  (B) THE WORLD IS PROBABLY NON-EUCLIDEAN.

  (C) THE WORLD IS NON-EUCLIDEAN.

  (D) THE WORLD IS EUCLIDEAN.

  (E) THE WORLD IS NEITHER EUCLIDEAN NOR NON-EUCLIDEAN.

  CHOICE (A) UNDERSTATES THE MAIN IDEA. ALTHOUGH THE OPENING TO THE PASSAGE ST

  ATES THAT WE DON’T KNOW WHETHER THE WORLD IS NON-EUCLIDEAN, THE AUTHOR GOES

  ON TO GIVE EVIDENCE THAT IT IS NON-EUCLIDEAN. CHOICE (C) OVERSTATES THE MAIN

  IDEA. THE AUTHOR DOESN’T SAY THAT THE WORLD IS NON-EUCLIDEAN, JUST THAT EVI

  DENCE STRONGLY INDICATES THAT IT IS. IN CHOICE (B), THE WORD "PROBABLY" PROP

  ERLY LIMITS THE SCOPE OF THE MAIN IDEA, NAMELY, THAT THE WORLD IS PROBABLY N

  ON-EUCLIDEAN, BUT WE CAN’T YET STATE SO DEFINITIVELY. THE ANSWER IS (B).

  PREMISES

  ONCE YOU’VE FOUND THE CONCLUSION, MOST OFTEN EVERYTHING ELSE IN THE ARGUMENT

  WILL BE EITHER PREMISES OR "NOISE." THE

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