A community for students.
Here's the question you clicked on:
 0 viewing
UnkleRhaukus
 3 years ago
\[(\forall n\in \mathbb Z)[nn^2]\]
UnkleRhaukus
 3 years ago
\[(\forall n\in \mathbb Z)[nn^2]\]

This Question is Closed

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2What does "" mean in logic?

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2The division thing? Yes.

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2What if \(\rm n = 0\)?

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2Though the statement is true for \(\mathbb{Z}^+\)

joemath314159
 3 years ago
Best ResponseYou've already chosen the best response.1Dont read :\[n\mid n^2\]as division. By definition, \[a\mid b \iff b=ak ,k\in \mathbb{Z}\]there is no division taking place. By this definition, 0 does divide 0^2 since 0^2=0*0

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2I've always heard, zero cannot divide anything.

joemath314159
 3 years ago
Best ResponseYou've already chosen the best response.1You are thinking of fractions. Notice the definition doesnt contain anything about fractions.

joemath314159
 3 years ago
Best ResponseYou've already chosen the best response.1its a statement only about multiplication.

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0\[ab \iff \exists q[b=aq],a\neq 0\]

joemath314159
 3 years ago
Best ResponseYou've already chosen the best response.1ah, then i am mistaken. if a cant be zero then what i posted is wrong.

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2So, in fact, we do have fractions in the definition.

joemath314159
 3 years ago
Best ResponseYou've already chosen the best response.1hmmm, i still wouldnt say there are fractions. This is generally the way they talk about division in Rings, where only multiplication and addition are defined. But yes, a cannot be zero. http://primes.utm.edu/glossary/xpage/divides.html

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0\(ab\) denotes \(b\) is divisible by \( a \)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.