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Math Help - truth tables

  1. #1
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    Oct 2008
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    truth tables

    I am having lots of trouble with my project for math. IT is determining if statements are vaild using a truth table.


    Project Assignment 3:

    Be sure to follow the project assignment problem solving guidelines while you craft your solutions to each of the following problems. You must word process your solutions and submit them to the course’s Dropbox at the D2L site. The project assignment scoring rubric will be used to rate your work and this feedback will be provided to you at the Dropbox location.

    1] Evaluate the validity of the following argument:

    Premise: All 20th-century US presidents were men.
    Premise: Bill Clinton is a man.
    Conclusion: Bill Clinton was a 20th-century president.


    2] Evaluate the validity of the following argument:

    Premise: If Jones buys a new car, then he will not purchase a new set of golf clubs.
    Premise: If Jones buys a new set of golf clubs, then he will not purchase his wife a birthday present.
    Premise: Jones purchased his wife a birthday present.
    Conclusion: Jones did not purchase a new car.

    3] Larry, the future event manager of the X-Games, is given the task of determining which site will host the next games. His choices have been witled to two cities, Aspen and Crested Butte. Within the bidding process, Larry is given the following information:
    • <LI class=MsoNormal style="mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l0 level1 lfo1; tab-stops: list .5in">If the city of Crested Butte agrees to pay $1M in prize money, then X-Games will he held at Crested Butte. <LI class=MsoNormal style="mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l0 level1 lfo1; tab-stops: list .5in">If the city of Aspen agrees to pay $2M in prize money, then the city of Crested Butte will not agree to pay $1M in prize money.
    • The city of Aspen agreed to pay $2M in prize money.
    What types of conclusions can Larry draw? Will Larry be able to determine, from these premises, to which city to award the games? Support all of your choices with appropriate reasoning.

    4] Myron is researching the topic of global warming and carbon dioxide levels. While performing some reading, he happens upon the following quotes:
    • <LI class=MsoNormal style="mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l1 level1 lfo2; tab-stops: list .5in">Charles Keeling, the man who began making observations as a young scientist, stated “The rise in the annual rate to above two parts per million for two consecutive years is a real phenomenon.”
    • David Hofman of the US National Oceanic and Atmospheric Administration center, which studies CO2, stated “I don’t think an increase of two parts per million for two years in a row is highly significant.”
    Myron would like to use these quotes within a report he must submit. Should he use these quotes to support one another or are they contradictory? Support your choices.

    5] The job of advertisers is to convince people to buy their clients' products. Below are two advertising scenarios. For each situation, write the conclusions that the advertisers want you to reach.
    A] If you read Cash magazine, then you will not make bad financial decisions. You certainly do not want to make bad financial decisions, so ___________ .
    B] If you do not join our club, you will not be popular. You did join, so _______________ .
    Next, the name of the fallacies in parts A and B are "affirming the consequent" and "denying the antecedent", respectively. Explain what this means to you.
    Identify and document at least three advertisements from your local newspaper, the internet, etc. Evaluate the validity of these advertisements.
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  2. #2
    Junior Member
    Joined
    Oct 2008
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    1] Evaluate the validity of the following argument:

    Premise: All 20th-century US presidents were men.
    Premise: Bill Clinton is a man.
    Conclusion: Bill Clinton was a 20th-century president.


    I'm in a computer science class, and we've been working on truth tables
    i'm not sure if it's similar to what you're doing but maybe it will help?

    premise:all 20th cent pres were men
    this can be true (1) or false (0)
    premise: bill clinton is a man
    this also can be true or false

    |20th pres men| clinton a man | bill clint a 20thcent pres|
    1 | 1 | 1 (both are true)
    1 | 0 | 0
    0 | 1 | 0
    0 | 0 | 0

    (the rest false b/c both must be true)

    that's what we did, if it's the same then sweet if not, sorry man
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