Question

Let r = "I like pancakes," s = "I like syrup," and t = "I like honey." Write this sentence in symbolic form: I like pancakes, and I like syrup or honey, but not both

Answer 1

`r\wedge(s\oplus t)`

Explanation:

The given statements are

r = "I like pancakes," s = "I like syrup," and t = "I like honey."

Given statement is "I like pancakes, and I like syrup or honey, but not both".

We need to find a symbolic form of the given statement.

If p and q are two statements, then

`p\wedge q` means p and q are true.

`p\oplus q` means either p or q are true, but not both.

Using this symbols we can say that,

I like syrup or honey, but not both =
`s\oplus t`

I like pancakes, and I like syrup or honey, but not both =
`r\wedge(s\oplus t)`

Therefore the required the symbolic form is
`r\wedge(s\oplus t)`.