LOGIC SYMBOLISM HELP!

Question

Consider the following translation scheme:Use symbols to translate

A: The American team will win a gold medal.
B: The British team will win a gold medal.
C: The Canadian team will win a gold medal.

 

 

1. All of the teams will win a gold medal.
2. Not all of the teams will win a gold medal.
3. At least two of the teams will win a gold medal.
4. At most two of the teams will win a gold medal.
5. If any of the teams wins a gold medal, all of them will.

Answer 1

Hi Symmeatra,

 

Different texts and courses use different kinds of symbols for propositional logic, but I'll get you started on a few these. Once you have that, you should be able to figure out the rest:

 

1) Could be symbolized as just ABC, A * B * C or similar. We are basically multiplying the truth value of each proposition.

 

2) Just place a !, ~ or whatever not symbol you are using in front of the answer to (1). This negates the truth value from (1)

 

5) (A | B | C) -> (ABC). This means that "If A or B or C is true, then all three are true."

 

You can probably get the rest from there. :)