Let X = “I am happy,” let Y=“I am watching a movie” and Z=“I am eating spaghetti.” Translate the following statements into words.

Question

anonymous · Answer

(Y→ ¬X)∧(Z→ ¬X) would that be

"If I am watching a movie, then I am not happy, and if I am eating spaghetta, then I am not happy,"

Or "If I am watching a movie then I am not happy, and if I am eating spaghetta then I am not happy,"

anonymous · Answer

oops hold on

ashleyisakitty · Answer

Question marks?

anonymous · Answer

$$(Y\rightarrow \neg X)\wedge(Z\rightarrow \neg X)$$

anonymous · Answer

Sorry about that.

anonymous · Answer

I'm not sure how to use comma correctly...

anonymous · Answer

@campbell_st @Ashleyisakitty @jim_thompson5910 

Can you help?

zzr0ck3r · Answer

if X is happy, then -X is not happy.

zzr0ck3r · Answer

so the second one you said.

anonymous · Answer

why not also first one? what's wrong with it?

zzr0ck3r · Answer

that would be $(Y \implies X)$

zzr0ck3r · Answer

the - means not. so if x not y
i.e. if im watching a movie i am NOT happy

anonymous · Answer

I get the negation part, but not coma and how they affects statement...

What's the difference between $\longrightarrow$ and $\Longrightarrow$?

anonymous · Answer

comma*

zzr0ck3r · Answer

nothing

anonymous · Answer

So first one is also right?

zzr0ck3r · Answer

comma?

anonymous · Answer

Yes, this one: $\Huge ,$

zzr0ck3r · Answer

the first one is not right, it would be $(Y\rightarrow  X)\wedge(Z\rightarrow  X)$

anonymous · Answer

Umm, I did insert not...

anonymous · Answer

1:
"If I am watching a movie, then I am not happy, and if I am eating spaghetta, then I am not happy,"

2:
"If I am watching a movie then I am not happy, and if I am eating spaghetta then I am not happy,"

zzr0ck3r · Answer

ahhh i see what you are asking

zzr0ck3r · Answer

sec

zzr0ck3r · Answer

this is more of a grammar question...

anonymous · Answer

yeah, I just want to know whether comma being presented before "then" has impact on statement or not

zzr0ck3r · Answer

I think they are the same in this context. This is not how anyone would say this sentence but we are modeling math...

anonymous · Answer

okay, so maybe start another question and ask question more specifically?

anonymous · Answer

yeah I guess

zzr0ck3r · Answer

sure, maybe in the writing area.

zzr0ck3r · Answer

either way you did NOT write 

if I am watching tv, then I am not happy and I am eating spaghetti then I am not happy.

zzr0ck3r · Answer

that would be the WRONG way to interpret this

anonymous · Answer

Yeah, I understand, because it would goes back to $Y\rightarrow(\neg X\wedge(Z\rightarrow\neg X))$, right?

zzr0ck3r · Answer

exactly

anonymous · Answer

gotcha. well thanks for help