# Semantics 1, WiSe 2014/15 (Sailer)

## Contents

# Material for Manfred Sailer's seminar

*Semantics 1*, winter term 2014/15, Goethe University, Frankfurt a.M.

## General information

You can get 2 CPs for the Medienkompetenzzertifikat in this class.

Register for the olat course at https://olat.server.uni-frankfurt.de/olat/url/RepositoryEntry/2563833857.

Practice material:

- Mock exam with master solutions for WiSe 2014/15
- Master solution for the first assignment sheet
- Master solution for the second assignment sheet.

## Material for week 6: Meeting of November 18, 2014

Work through the material for week 6. Hand in your solution to the **homework task** at the meeting of November 25 (this will count as "proof of attendance" for the meeting of week 6).

### Input

Watch the following video on logical determiners:

### Tasks

After having watched the video, work on the following tasks.

**Task 1** Identify the determiners in the following sentence.

(a) Juliet talked to some stranger at the party.

(b) Every Capulet is an enemy to some Montague.

(c) Many people in Verona are not happy about the Capulet-Montague feud.

Check your solutions here:

(a) *some*

(b) *every*, *some*

*many*

**Task 2** Identify the formula that corresponds to the translation of the sentence.

**Task 3** The sentence: *Some Tybalt loved some Montague.* is translated into the formula

∃ y (**montague _{1}**(

*y*) :

**love**(

_{2}**tybalt**,

*y*).

Given this table, is the overall formula true or false? (Give a reason for your answer.)

Check your solutions here:

The formula is false, because there is no individual in our model for which both the restrictor and the scope are true.

**Task 4** Variable assignment function

Start with the following variable assigment function *g*:
*g(u) = Romeo, g(v) = Juliet, g(w) = Romeo, g(x) = Laurence, g(y) = Mercutio, g(z) = Juliet*

Provide the changed variable assignment function *g*[*v/Paris*].

Check your solutions here:

*g*[*v/Paris*]*(u)* = *g(u)* = *Romeo**g*[*v/Paris*]*(v)* = *Paris**g*[*v/Paris*]*(w)* = *g(w)* = *Romeo**g*[*v/Paris*]*(x)* = *g(x)* = *Laurence**g*[*v/Paris*]*(y)* = *g(y)* = *Mercutio**g*[*v/Paris*]*(z)* = *g(z)* = *Juliet*

### Homework task for the meeting of November 25

In the following sentences,

- identify the determiner, the restrictor, and the scope,
- provide the paraphrase,
- translate the sentences into formulae,
- indicate for each formula whether it is true or false.

*Example:**Laurence married Romeo to a Capulet.*

- determiner:
*a*

restrictor:*Capulet*

scope:*Laurence married Romeo to x* - paraphrase: For some
*x*such that*x*is a Capulet, Laurence married Romeo to*x*. - formula: ∃
*x*(**capulet**(_{1}*x*) :**marry-to**(**laurence**,**romeo**,*x*)) - true or false? The formula is true in the context of our play because Juliet is a Capulet and Laurence marries Romeo to her. Thus, we find an individual for which both the restrictor and the scope are true.

Work on the following sentences:

(a) *Romeo talked to a friar.*

(b) *Juliet killed every Capulet.*