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hali12 Group Title

Let p and q represent the statements: p: Jose is running track. q: Jose is not winning the race. Express the following statement symbolically: Jose is winning the race..... a) p.. b) q.. c)~q.. d) ~p

  • one year ago
  • one year ago

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  1. hali12 Group Title
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    @jim_thompson5910 is this the same as the last ones?

    • one year ago
  2. jim_thompson5910 Group Title
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    q: Jose is not winning the race.

    • one year ago
  3. jim_thompson5910 Group Title
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    ~q is the opposite of q

    • one year ago
  4. jim_thompson5910 Group Title
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    So if q says one thing then ~q (NOT q) says the complete opposite thing q says

    • one year ago
  5. jim_thompson5910 Group Title
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    so ~q is like saying Jose is NOT not winning the race ...a bit confusing, but the two "not"s cancel giving us ~q: Jose is winning the race

    • one year ago
  6. hali12 Group Title
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    so then its p?

    • one year ago
  7. jim_thompson5910 Group Title
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    p is the statement Jose is running track

    • one year ago
  8. jim_thompson5910 Group Title
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    agreed?

    • one year ago
  9. hali12 Group Title
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    yea

    • one year ago
  10. jim_thompson5910 Group Title
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    does that have anything to do with "Jose is winning the race" ?

    • one year ago
  11. hali12 Group Title
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    not really

    • one year ago
  12. jim_thompson5910 Group Title
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    so "Jose is winning the race" doesn't involve p at all

    • one year ago
  13. jim_thompson5910 Group Title
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    reread what I wrote at the beginning of this thread

    • one year ago
  14. jim_thompson5910 Group Title
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    and hopefully something will click

    • one year ago
  15. hali12 Group Title
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    q?

    • one year ago
  16. jim_thompson5910 Group Title
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    closer, but still no

    • one year ago
  17. hali12 Group Title
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    ~q

    • one year ago
  18. jim_thompson5910 Group Title
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    you got it

    • one year ago
  19. jim_thompson5910 Group Title
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    look above to see why

    • one year ago
  20. jim_thompson5910 Group Title
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    I wrote it out at the top

    • one year ago
  21. hali12 Group Title
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    ohh i didnt even relize it, wow.... thank you so much, i also have 2 more, i have one that i really dont know

    • one year ago
  22. jim_thompson5910 Group Title
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    its ok, i was wondering about that lol

    • one year ago
  23. hali12 Group Title
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    Look at the argument below. Which of the following symbolic statements shows the set-up used to find the validity of the argument? If Mario studies hard, then he gets good grades. Mario got good grades. Therefore, Mario studied hard. p: Mario studies hard. q: Mario gets good grades

    • one year ago
  24. jim_thompson5910 Group Title
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    First off, is that argument valid?

    • one year ago
  25. jim_thompson5910 Group Title
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    oh wait, nvm they're asking a different question

    • one year ago
  26. hali12 Group Title
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    a.) [(p → q) ∧ ~q] .'.p b.)[(p → q) → q] ∴ p c.)[(p → q) ∧ q] ∴ q d.) [(p → q) ∧ q] ∴ p

    • one year ago
  27. jim_thompson5910 Group Title
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    hmm interesting way to put it

    • one year ago
  28. jim_thompson5910 Group Title
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    "If Mario studies hard, then he gets good grades." translates to ...???

    • one year ago
  29. hali12 Group Title
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    p?

    • one year ago
  30. jim_thompson5910 Group Title
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    p is just "Mario studies hard"

    • one year ago
  31. jim_thompson5910 Group Title
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    how do we incorporate the "he gets good grades" part?

    • one year ago
  32. hali12 Group Title
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    p -> q

    • one year ago
  33. jim_thompson5910 Group Title
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    good

    • one year ago
  34. jim_thompson5910 Group Title
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    "If Mario studies hard, then he gets good grades." translates to p -> q

    • one year ago
  35. jim_thompson5910 Group Title
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    now tack on the statement "Mario got good grades" So what does "If Mario studies hard, then he gets good grades. Mario got good grades. " translate to ???

    • one year ago
  36. hali12 Group Title
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    [(p → q) ∧ ~q] .'. p

    • one year ago
  37. jim_thompson5910 Group Title
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    not quite

    • one year ago
  38. jim_thompson5910 Group Title
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    ~q means he did NOT get good grades, but it clearly says he did

    • one year ago
  39. hali12 Group Title
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    [(p → q) ∧ ~q] .'. p

    • one year ago
  40. hali12 Group Title
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    [(p->q) ^q] .'. p

    • one year ago
  41. jim_thompson5910 Group Title
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    better

    • one year ago
  42. hali12 Group Title
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    so is that it then?

    • one year ago
  43. jim_thompson5910 Group Title
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    yes it is

    • one year ago
  44. hali12 Group Title
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    oh ok, thanks, and this will be the last one i promise,: Which of the following is the equivalent of the inverse statement? a.) the negation of the statement.. b.) the converse of the statement.... c.)the contrapositive of the statement... d.)the conditional statement

    • one year ago
  45. jim_thompson5910 Group Title
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    In general Original = contrapositive and inverse = converse

    • one year ago
  46. jim_thompson5910 Group Title
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    So it's b)

    • one year ago
  47. jim_thompson5910 Group Title
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    the inverse of p -> q is ~p -> ~q -------------- that's equivalent to ~~q -> ~~p which is the same as q -> p but this is the converse So this shows that the inverse and the converse represent the same thing

    • one year ago
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