HW 7 Possible Answers

(1)    W1,1: À wants it to be the case that [1]

         R1:   À is a Republican

         P1:   À is a president

         l:     Leon              

         W1,1l$x(Rx Ù Px)   or    $x(Rx Ù W1,1lPx)

(2)    In addition to some of those above, we want also:

         U1,1:   À understands that [1]

         F1:      À  is feeble-minded

         b: George W. Bush

         –$x $<(W1,1 x P1b Ù U1,1x F1b).   Or for another reading

         –$x $< (W1,1 x P1b Ù U1,1x F1x). There are also other ways of understanding the tense relations.

(3)    U11,1:   À understands why [1]

        B1,1:    À believes that [1]

        H1,1:    À hopes that [1]

        W1,1:   À works to make it the case that [1]

        C0,1:    it can be the case that [1]

        W1:     À wins

        W1,1:   À  wants it to be the case that [1]

        K1,1:    À  works to make it the case that [1]

        S1:       À is sane

        R1:      À is reëlected

        g:  Gore

        b:  Bush

        "x [(W1,1x U11,1x $<B1,1 g C0,1W1 g Ù S1x) ® $>H1,1x W1,1x R1 b]

(4)    This could mean either that (a) of all the people, only those who are training athletes will win, or (b) of all the athletes, only those who train will win.

(a)     "x(x wins ® x is an athlete who trains)

            "x( Wx ® [Ax Ù Tx])

(b)   "x( x is an athlete who wins ® x trains)

            "x([Ax Ù Wx] ® Tx)

 (5)   S0,1:     it should be the case that [1]

         B3:      À brings ­ to Â

         F1:      À is a frisbee

         p:       the specific picnic spoken of

                        S0,1$x$y(Fy Ù Bxyp)

(6)    Same lexicon as in (3); in addition,

        f:       the specific frisbee spoken of in (b)

        S0,1$xBxfp

        $x S0,1Bxfp is close, but I don’t think it is the preferred reading.

Almost as good as the preferred, but not quite, would be

$x (Fx Ù  S0,1$y Byxp)