# Thread: Requesting aid with some formalization questions

1. ## Requesting aid with some formalization questions

Really stuck with this. Any help appreciated.

Domain of dicourse: company employees

Sx: x is a secretary
Bx: x is a bookeeper
Exy: x is paid more than y
Dx: x should be dismissed
Wxy: x is wary of y

C: the CEO

1 Every secretary earns more than a bookkeeper
2 No secretary earns more than the CEO
3 Any secretary who earns more than every bookkeeper should be dismissed
4 Every bookkeeper who is a secretary earns more than a
bookkeeper who is not
5 Some bookkeepers are wary of every secretary
6 Everyone is wary of someone, but only secretaries who are not bookkeepers are wary of everyone
7 There is a secretary who is a bookkeeper and is wary of all secretaries who are not bookkeepers
8 Not all bookkeepers are secretaries but all secretaries are bookkeepers
9 If any secretary earns more than every bookkeeper, Adams does.

2. ## Re: Requesting aid with some formalization questions

Welcome to the forum.

I assume you need to write these statements in symbolic form. What difficulties are you having? Here are the first two statements; you try the rest.

1. $\displaystyle \forall x\forall y\,S(x)\land B(y)\to E(x,y)$ (I assume the original statement means "...more than every bookkeeper").

2. $\displaystyle \neg\exists x\,S(x)\land E(x,\mathrm{CEO})$ (I assume CEO is a constant and not a predicate symbol).

3. ## Re: Requesting aid with some formalization questions

Thanks for your help - I have managed to get through it ok