Semantic concepts

Given the following interpretation:

• domain:

  people

• $W(x)$:

  $\underline{\hskip 15.00002pt}_{x}$ is a woman (or girl)

• $M(x)$:

  $\underline{\hskip 15.00002pt}_{x}$ is a man (or boy)

• $Y(x,y)$:

  $\underline{\hskip 15.00002pt}_{x}$ is younger than $\underline{\hskip 15.00002pt}_{y}$

• $O(x,y)$:

  $\underline{\hskip 15.00002pt}_{x}$ is an offspring of $\underline{\hskip 15.00002pt}_{y}$

• $d$:

  Dana

• $a$:

  Alex

express the following relations:

1. $\underline{\hskip 15.00002pt}_{x}$ is older than $\underline{\hskip 15.00002pt}_{y}$

2. $\underline{\hskip 15.00002pt}_{x}$ is $\underline{\hskip 15.00002pt}_{y}$’s mother

3. $\underline{\hskip 15.00002pt}_{x}$ and $\underline{\hskip 15.00002pt}_{y}$ are siblings (note that you can’t be your own sibling)

4. $\underline{\hskip 15.00002pt}_{x}$ is $\underline{\hskip 15.00002pt}_{y}$’s brother

Using the symbolization key from the previous exercise, symbolize the following sentences:

1. Alex and Dana are sisters.

2. Fathers are older than their children.

3. Alex’s parents are the same age.