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At Issue In a Massachusetts Town, the Value of Two-Thirds

An anonymous reader writes "In Truro, Massachusetts (a town on Cape Cod), a zoning decision came up for vote, where the results were 136 for, 70 against. The vote required 2/3 approval to pass. The Town Clerk and Town Accountant believe that since .66 * 206 is less than 136, the vote passes. However, an 'anonymous caller' noted that a more accurate value of 2/3 would require 137 (or perhaps even 138 votes) for the measure to be considered passed. The MA Secretary of State and State Attorney General are hard at work to resolve this issue." Updated 20100422 23:55 by timothy: Oops! This story is a year old (rounding up), which I didn't spot quickly enough. Hope they've got it all worked out in the meantime.

26 of 449 comments (clear)

  1. not quite 2/3 by rla3rd · · Score: 5, Insightful

    can't these people do simple math?

    2 / 3 = 0.66666666...
    106 / 236 = 0.660194175

    Whats the problem here? It didn't pass.

    1. Re:not quite 2/3 by thoughtsatthemoment · · Score: 4, Funny

      The 136 people don't include the woman.

    2. Re:not quite 2/3 by igxqrrl · · Score: 4, Funny

      can't these people do simple math? 2 / 3 = 0.66666666... 106 / 236 = 0.660194175 Whats the problem here? It didn't pass.

      Me and my Pentium beg to differ.My pentium begs to differ.

  2. Re:Counting people? Round up! by lgw · · Score: 5, Insightful

    Rounding is not relevent here. They need 2/3 * 206 votes to pass. 137 is less than that value. 138 is more than that value.

    137 votes fails to be more than 2/3 of 206. Why would rounding even be a topic for discussion?

    --
    Socialism: a lie told by totalitarians and believed by fools.
  3. Re:Counting people? Round up! by spazdor · · Score: 4, Insightful

    Yeah, this strikes me as a pretty trivial problem to solve.

    If the process requires the approval of 2/3 of the voters or more, then the lowest whole number that satisfies this requirement is the lowest number of votes which can pass the motion.

    Fucking duh, Massachusetts.

    --
    DRM: Terminator crops for your mind!
  4. Political Mathematics by WahCheng · · Score: 5, Insightful

    Clearly 70 times 2 is greater than 136 Therefore there is NOT a 2/3 majority. The matematics of politics, however, is not like the math we all know and love....

  5. this whole story by jarrodlikesmath · · Score: 5, Funny

    is irrational

    1. Re:this whole story by smaddox · · Score: 5, Funny

      I disagree. This is a prime example of rationality.

  6. Easy, no fractions or decimals needed by dpbsmith · · Score: 4, Insightful

    The ratio of 2/3 to 1/3 is 2:1. In order for a measure to pass by a two-thirds vote, the majority must have more than twice as many as the minority. 136 is less than two times 70, so the vote does not pass.

  7. Re:Learn 2 math by rolfwind · · Score: 5, Insightful

    You're complicating it.

    (206 * 2)/3 = 137.333

    Why use 0.66xxxx whatever when you don't have to?

  8. Ask an engineer, a mathematician, a politician by PolygamousRanchKid+ · · Score: 4, Insightful

    The engineer pulls out his calculator, types in the results, and gives the answer.

    The mathematician goes to the whiteboard, and writes a proof for the answer.

    The politician whispers, "What do you want the answer to be . . . ?"

    --
    Schroedinger's Brexit: The UK is both in and out of the EU at the same time!
  9. use integers, damnit! by Paul+Rose · · Score: 4, Insightful

    >>the results were 136 for, 70 against. The vote required 2/3 approval to

    the question: is 136 / 206 >= 2 / 3 ??
    is the same as: is 3*136 >= 2 * 206 (multiple each side by 206 * 3)
    or: is 408 >= 412
    or: DID NOT PASS

  10. This is a year old... by Jah-Wren+Ryel · · Score: 4, Informative

    Date on the article is April 30th, 2009.

    So, does anyone know if basic math skills prevailed?

    --
    When information is power, privacy is freedom.
    1. Re:This is a year old... by Anthony+Rosequist · · Score: 5, Informative
      Yup

      Voters did approve one of four petitioned zoning articles, one that would require cottage colonies to be in operation for at least three years before they can be turned into condominium ownership. Zoning articles require a two-thirds majority and the first vote was close, counted as 139 in favor and 64 opposed. A recount was held that was tallied at 136-70 and declared to be passed by Town Clerk Cynthia Slade, utilizing a multiplier of 0.66 to determine two-thirds, the figure the town has always used. Unfortunately, this vote was so close that the inaccurate fraction made the difference, and several months later the attorney general’s office negated the approval as not meeting the two-thirds threshold.

  11. Re:Counting people? Round up! by Gudeldar · · Score: 5, Insightful

    I think somebody needs to teach them that .66 != 2/3

  12. Re:basic math by QRDeNameland · · Score: 4, Informative

    ...unless you have fractional people.

    Well, that's not exactly unprecedented in American politics.

    three fifths of all other Persons

    --
    Momentarily, the need for the construction of new light will no longer exist.
  13. Re:Learn 2 math by Bigjeff5 · · Score: 5, Insightful

    Holy shit, it's not that complicated!

    The law requires a majority of 2/3 or more.

    (206*2)/3 = 137 1/3

    137 is less than 137 1/3, so 137 is not a 2/3 majority.
    138 is greater than 137 1/3, so 138 is a 2/3 majority.

    Done. You can keep the 138 figure on hand to remind yourself, but it isn't necessary, just do 206 * 2/3 to get the minimum number of votes needed. It isn't hard.

    This story and some of the posts have really been pretty sad, half the people on slashdot are perpetuating the same error the clerk made, they are simply doing it more accurately. The other half have come up with convoluted ways to check whether a number meets the criteria.

    Christ, just multiply by 2/3 and be done with it, it's not hard.

    --
    Security is mostly a superstition... Avoiding danger is no safer in the long run than outright exposure. - Helen Keller
  14. Re:Is our calculator society showing? by Lord+Kano · · Score: 5, Insightful

    This is maybe third or fourth grade level math here people, and it's kinda sad that there is even any confusion about it. .66 is not 2/3, it's a little less than 2/3 and it does not count if the law says 2/3.

    You know good and well these assholes were the kids who used to ask "Why will I ever need to know this stuff in real life?" when they were kids.

    Well, you stupid asses, this is why.

    LK

    --
    "Hi. This is my friend, Jack Shit, and you don't know him." - Lord Kano
  15. Don't Round--Truncate! by Anonymous Coward · · Score: 5, Funny

    I don't believe in rounding. I truncate. It helps to always win 2/3 majority votes:

    2/3 is 0.66666... Truncated to integer = 0

    Total voters: 206
    To win the vote, we require at least: 206 * 0 = 0

    Therefore any number of affirmative votes constitutes a 2/3 majority.

    Numbers don't lie!

  16. Re:Learn 2 math by Hurricane78 · · Score: 4, Funny

    Close, but no cigar.

    (206 * 2)/3 = 137 1/3

    Why use 0.66xxxx whatever, when you don’t have to?

    --
    Any sufficiently advanced intelligence is indistinguishable from stupidity.
  17. Spltting hairs, are we? by flajann · · Score: 5, Insightful
    They would need 138 votes. 137 is less than 2/3rds. 0.66 != 2/3. Plain and simple.

    But I think it's amusing to say the least -- splitting hairs on a vote.

    Really, the who notion of voting is severely flawed from a mathematical point of view. One extra vote makes all the difference between whether or not a bill is implemented. What is the intrinsic importance of making it 2/3rds? Why not 3/4ths? 1/2? 5/8ths? What is the significance of 2/3? Seems arbitrary.

    But then, that is the difference between law and mathematics, I suppose. 20 years and 364 days old, you're too young to drink, it's illegal, and there are sanctions. 20 years and 365 days -- 21 years old, and it's perfectly legal. But what is the significant difference in a person at 20 years 364 days vs. 20 years 365 days? Is there some sort of "maturity switch" that is magically flipped? Do the gods of time descend upon you and bestow you with something special?

    We humans make so much ado over meaningless arbitrary demarcations. Life situations are fuzzy and spread out, not the digital of "on/off". It all seems rather a bit silly! Splitting arbitrary hairs without real meaning.

    1. Re:Spltting hairs, are we? by retchdog · · Score: 4, Funny

      Under my proposed law, during the years between 16 and 21 noninclusive, the probability of being chargeable, upon discovery, with underage drinking shall be determined by interpolation through a truncated logistic function. n'hey.

      --
      "They were pure niggers." – Noam Chomsky
  18. Re:Counting people? Round up! by duh+P3rf3ss3r · · Score: 4, Insightful

    This is so incredibly simple that I can't believe I'm reading scores of responses about significant digits and rounding, etc. For a motion to be passed by a 2/3 majority, at least twice as many people have to vote in favour as those who vote against. Since 136 is less than 70*2, the vote fails. No calculator required, no consideration of significant digits. It's the kind of thing a reflective schoolchild should be able to reason out, frankly.

    I think this is a symptom of a generation raised with calculators...

    --
    Give a man a match: warm him for an instant. Douse him in petrol and set him aflame: warm him for the rest of his life.
  19. It's not that silly by TheLink · · Score: 5, Insightful

    While drawing these arbitrary lines is silly, it is often far sillier to not draw them in the universe we live in.

    Making silly arbitrary decisions is a necessary part of life. Life situations aren't that fuzzy except at the quantum level. Even little things like which hand to use, whether to breath in or out. And even if the Many Worlds Interpretation is correct, it's not that fuzzy in each path of the universe.

    Say a car is about to hit you, you could jump either left or right to save yourself. The neurons in your brain are going to have to make a decision. Say you jump right, you think all the neurons participating in the decision wanted to go right? I doubt it, some would have wanted to go left. But you cannot satisfy all of them. You can't go both left and right, unless you wait for the car to split you in two.

    Back to your question, there is no magical maturity switch. Some people never even become mature. So what? With our current technology we are not able to practically put you 60% in jail and 40% out of jail at the same time, just because you are actually "60% mature".

    And it's costly to put in all the shades of gray for the different percentages of "maturity". Some countries do cater for a few categories: juvenile prisons, probation, etc.

    So there are very many arbitrary lines in laws: when it's legal to abort a fetus/baby, when does a child become an adult.

    There's definitely much silliness that should perhaps be fixed. For example, in many countries you might be legally considered old enough to sign up as a soldier, but not do other "adult things". This to me is silly. If you are going to be old enough to kill others and risk your own life, you should be considered old enough to do the other adult stuff. Otherwise, you shouldn't be considered old enough to be a soldier (unless the country is in such a bad/desperate state that you might as be allowed to be a soldier).

    --
  20. Re:Counting people? Round up! by Anonymous Coward · · Score: 4, Informative

    Y'all screwed up.

    2/3 majority in parliamentary procedure is taken as meaning there are at least twice as many votes for than against. That avoids the whole fractional vote issue, which is a nonsensical concept.

    In this case there were 70 against, which means there would have to be at least 140 for. Thus the motion fails.

    C'mon, people. This thing has to have happened more than a few times in the course of history.

  21. Re:Divide 2 by 3 on a financial calculator by MaskedSlacker · · Score: 4, Insightful

    OR, you could not be retarded and just realize that a 2/3 majority means that the number of yes votes will be double the number of no votes or greater.

    All you do is double count the no votes. If the measure still passes, it had a 2/3 majority.

    It's not that fucking hard.