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cellomaster8

Hi guys,

If any of you guys have experience with number theory/proofs, I'd really appreciate your help with some of my math camp problems! They are so hard, I'm not even sure where to start

LLLhk

oh i have experience

LLLhk

wait is it ross?

LLLhk

i can help

puregut_ghast

what expiriance??????????

 

LLLhk

experience with number theory

cellomaster8

Thanks @LLLhk, yes it is ross

This is the problem



These are the axioms we have to work with

cellomaster8

Actually I think I got this one

LLLhk

hint : proof by contradiction 

LLLhk

i guess i was sleeping when you sent this xD

Hobi_Mochi

woah...what grade r u guys in? I don't even know what any of it means... O-O

LLLhk

high school

LLLhk

it uses set theory

cellomaster8
Hobi_Mochi wrote:

woah...what grade r u guys in? I don't even know what any of it means... O-O

Yes, high school as well. Though none of this (including number theory, set theory) is taught in standard US curriculum, you can only find it in US math competitions and programs. Perhaps it is taught in China, I'm not quite sure

LLLhk
cellomaster8 wrote:
Hobi_Mochi wrote:

woah...what grade r u guys in? I don't even know what any of it means... O-O

Yes, high school as well. Though none of this (including number theory, set theory) is taught in standard US curriculum, you can only find it in US math competitions and programs. Perhaps it is taught in China, I'm not quite sure

we learn basic set theory in first year of high school, but i don't think number theory is taught (and yes basically number theory is used in competitions: like I guess Modular Arithmetic, Chinese remainder thm, lift the exponent, zgimondy, orders, dirichlet, and quadratic reciprocity are all stuff you can expect from the chinese TST)

Hobi_Mochi

oh makes sense, .we are supposed to learn all this next year >< 

cutelittle
Hobi_Mochi wrote:

oh makes sense, .we are supposed to learn all this next year >< 

Wait, aren't you in high school @Hobi_Mochi?

Hobi_Mochi

welp I am but in our country's syllabus...set theory and all r taught in 11th ...

LLLhk

you from india????

LLLhk

when i search set theory 11th grade all i get is India cirriculum