Symbolization Exercises from Logic 2000
Symbolization 1: Symbolization with IF and CONDITIONAL
Symbolize each of the following sentences using the abbreviation scheme provided:
1.001The Bruins fail to win.
W: the Bruinswin.
1.002Ina will not fail to be chosen as campaign manager.
P: Ina will be chosen as campaign manager.
1.003Given that the Bruins win, they go to the Rose Bowl
W: the Bruins win.
R: the Bruins go to the Rose Bowl.
1.004The Bruins go to the Rose Bowl provided that the Trojans don’t win.
U: the Bruins go to the Rose Bowl.
T: the Trojans win.
1.005Rudolf will lose the Ukrainian vote only if the interview is canceled.
U: Rudolf will lose the Ukrainian vote.
T: the interview is canceled.
1.006Terry will only if Kit can’t.
T: Terry will.
X: Kit can.
1.007Rudolf will lose the Ukrainian vote only provided that Ina is chosen as campaign manager.
U: Rudolf will lose the Ukrainian vote.
P: Ina is chosen as campaign manager.
1.008Only if Rudolf doesn’t lose the Ukrainian vote will he be elected.
Q: Rudolf loses the Ukrainian vote.
P: Rudolf will be elected.
1.009Only if it is not the case that the interview is cancelled will Rudolf not lose the Ukrainian vote.
U: Rudolf will lose the Ukrainian vote.
T: the interview is canceled.
1.010Only if Kit can’t willTerry.
X: Kit can.
T: Terry will.
1.011If Alfred will pass if he concentrates, then logic is enjoyable
P: Alfred will pass.
Q: Alfred concentrates.
R: logic is enjoyable.
1.012If Ina is chosen as campaign manager, then Rudolf will be elected if he doesn’t lose the Ukrainian vote.
R: Ina is chosen as campaign manager.
P: Rudolf will be elected.
Q: Rudolf loses the Ukrainian vote.
1.013Richard won’t, if Terry will assuming that Kit can’t.
R: Richard will.
T: Terry will.
X: Kit can.
1.014Only if Alfred concentrates will he pass, provided that the lectures are exciting.
T: Alfred concentrates.
P: Alfred will pass.
X: the lectures are exciting.
1.015Only on the condition that the test is too long will Alfred fail, provided that the instructor is not perverse.
P: the instructor is perverse.
T: the test is too long.
R: Alfred will fail.
1.016If Saul passes only if Noa doesn’t study, then she graduates only if he doesn’t.
P: Saul passes.
R: Saul graduates.
U: Noa graduates.
V: Noa studies.
1.017Provided that Saul passes only if he studies, he graduates only if he studies.
P: Saul passes.
R: Saul graduates.
S: Saul studies.
1.018If Alfred will pass only on the condition that he concentrates, then logic is enjoyable provided that the lectures are exciting.
P: Alfred will pass.
Q: Alfred concentrates.
R: logic is enjoyable.
X: the lectures are exciting.
1.019If, on condition that the interview is cancelled Rudolf will lose the Ukrainian vote, then if Ina is not chosen as campaign manager Rudolf will not be elected.
R: Ina is chosen as campaign manager.
P: Rudolf will be elected.
Q: Rudolf will lose the Ukrainian vote.
T: the interview is canceled.
1.020Alfred will pass on the condition that if he will pass only if he concentrates then he will pass.
P: Alfred will pass.
Q: Alfred concentrates.
1.021It is not the case that if the interview is cancelled Rudolf will not be elected.
P: Rudolf will be elected.
T: the interview is canceled.
1.022It is not the case that if Saul graduates if Noa studies, Noa studies.
R: Saul graduates.
V: Noa studies.
1.023It’s not the case that if Alfred passes only if the lectures are exciting, then he passes if the lectures are exciting
P: Alfred passes.
X: the lectures are exciting.
1.024It is not the case that if Alfred will secure employment provided that logic is enjoyable, then the lectures areexciting only if he concentrates.
Q: Alfred concentrates.
R: Logic is enjoyable.
S: Alfred will secure employment.
X: the lectures are exciting.
1.025If Rudolf will not be elected if he does not lose the Ukrainian vote, then only if Ina is chosen as campaign manager will Rudolf be elected.
R: Ina is chosen as campaign manager.
P: Rudolf will be elected.
Q: Rudolf loses the Ukrainian vote.
1.026Given that it is not the case that if Richard won’t Terry will, Kit won’t.
T: Terry will.
X: Kit will.
R: Richard will.
1.027Only if if only if Noa studies does she pass Noa graduates does Saul graduate.
R: Saul graduates.
T: Noa passes.
U: Noa graduates.
V: Noa studies.
The last few sentences to symbolize are ambiguous. Symbolize them in different ways to disambiguate them. You should have two distinct, non-equivalent answers for 1.028 and 1.029 and five for 1.030.
1.028Alfred will pass only ii he concentrates provided that the text is not readable. [Ambiguous – provide two different symbolic sentences].
P: Alfred will pass.
Q: Alfred concentrates.
T: the text is readable.
1.029It is not the case that Alfred concentrates if the lectures are not exciting. [Ambiguous – provide two different symbolic sentences].
Q: Alfred concentrates.
X: the lectures are exciting
1.030It is not the case that Alfred will secure employment if he fails to concentrate provided that the lectures are not exciting. [Ambiguous – provide five different symbolic sentences].
Q: Alfred concentrates.
R: logic is enjoyable.
S: Alfred will secure employment.
X: the lectures are exciting
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Logic 2000 Exercises Symbolization 1
© David Kaplan