Connectives

Using the symbolization key given, symbolize each English sentence in TFL.

• $M$:

  Those creatures are men in suits

• $C$:

  Those creatures are chimpanzees

• $G$:

  Those creatures are gorillas

1. Those creatures are not men in suits.

2. Those creatures are men in suits, or they are not.

3. Those creatures are either gorillas or chimpanzees.

4. Those creatures are neither gorillas nor chimpanzees.

5. If those creatur…

Using the symbolization key given, symbolize each English sentence in TFL.

• $A$:

  Mister Ace was murdered

• $B$:

  The butler did it

• $C$:

  The cook did it

• $D$:

  The Duchess is lying

• $E$:

  Mister Edge was murdered

• $F$:

  The murder weapon was a frying pan

1. Either Mister Ace or Mister Edge was murdered.

2. If Mister Ace was murdered, then the cook did it.

3. If Mister Edge was murdered, then the cook did not do it.

4. Eith…

Using the symbolization key given, symbolize each English sentence in TFL.

• $E_{1}$:

  Ava is an electrician

• $E_{2}$:

  Harrison is an electrician

• $F_{1}$:

  Ava is a firefighter

• $F_{2}$:

  Harrison is a firefighter

• $S_{1}$:

  Ava is satisfied with her career

• $S_{2}$:

  Harrison is satisfied with his career

1. Ava and Harrison are both electricians.

2. If Ava is a firefighter, then she is satisfied with her career.

3. Ava is a firefighter, unless…

Using the symbolization key given, translate each English-language sentence into TFL.

• $J_{1}$:

  John Coltrane played tenor sax

• $J_{2}$:

  John Coltrane played soprano sax

• $J_{3}$:

  John Coltrane played tuba

• $M_{1}$:

  Miles Davis played trumpet

• $M_{2}$:

  Miles Davis played tuba

1. John Coltrane played tenor and soprano sax.

3. Neither Miles Davis nor John Coltrane played tuba.

5. John Coltrane did not play both tenor sax and tuba.

…

Give a symbolization key and symbolize the following English sentences in TFL.

1. Alice and Bob are both spies.

2. If either Alice or Bob is a spy, then the code has been broken.

3. If neither Alice nor Bob is a spy, then the code remains unbroken.

4. The German embassy will be in an uproar, unless someone has broken the code.

5. Either the code has been broken or it has not, but the German embassy wil…

Give a symbolization key and symbolize the following English sentences in TFL.

1. If there is food to be found in the pridelands, then Rafiki will talk about squashed bananas.

2. Rafiki will talk about squashed bananas unless Simba is alive.

3. Rafiki will either talk about squashed bananas or he won’t, but there is food to be found in the pridelands regardless.

4. Scar will remain as king if and only…

For each argument, write a symbolization key and symbolize all of the sentences of the argument in TFL.

1. If Dorothy plays the piano in the morning, then Roger wakes up cranky. Dorothy plays piano in the morning unless she is distracted. So if Roger does not wake up cranky, then Dorothy must be distracted.

2. It will either rain or snow on Tuesday. If it rains, Neville will be sad. If it snows, Nev…

We symbolized an exclusive or using ‘$\vee$’, ‘$\wedge$’, and ‘$\neg$’. How could you symbolize an exclusive or using only two connectives? Is there any way to symbolize an exclusive or using only one connective?