Help regarding set theory | Mathematics | Page 1

stone trail Sep 2, 2024, 5:00 AM

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gleaming wigeonBOT Sep 2, 2024, 5:00 AM

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stone trail

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stone trail Sep 2, 2024, 5:00 AM

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stone trail

i just want to know what the (B,/) means in this question

earnest sedge Sep 2, 2024, 5:29 AM

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/ is the divisibility relation im guessing

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so the question is whether the relation is a partial order (reflexive, transitive and antisymmetric)

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@stone trail

stone trail Sep 2, 2024, 5:34 AM

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earnest sedge so the question is whether the relation is a partial order (reflexive, transitiv...

partial order

stone trail Sep 2, 2024, 5:35 AM

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earnest sedge / is the divisibility relation im guessing

i was thinking that we should make a relation set so that a divides b in the set

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as in (a,b)

earnest sedge Sep 2, 2024, 5:36 AM

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show us what you got in mind

stone trail Sep 2, 2024, 5:40 AM

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earnest sedge show us what you got in mind

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the set wouldn't be very symmetric tho

earnest sedge Sep 2, 2024, 5:42 AM

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why would it need to be "symmetric"?

stone trail Sep 2, 2024, 5:42 AM

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ohh shit

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mb I'm dumb

stone trail Sep 2, 2024, 5:43 AM

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stone trail

so is this the correct relation set based on the condition?

earnest sedge Sep 2, 2024, 5:43 AM

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you do not need to write out any pairs

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but determine whether divisibility is a partial order on this set

stone trail Sep 2, 2024, 5:44 AM

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i did not get you

earnest sedge Sep 2, 2024, 5:44 AM

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"Determine whether (B,/) is a poset"

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how do you define divisibility?

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what does "a divides b" mean?

stone trail Sep 2, 2024, 5:46 AM

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like

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take (1,2)

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1 divides 2

earnest sedge Sep 2, 2024, 5:46 AM

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and why is that

stone trail Sep 2, 2024, 5:46 AM

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because 2 is a multiple of 1

earnest sedge Sep 2, 2024, 5:47 AM

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good

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is every element a multiple of itself?

stone trail Sep 2, 2024, 5:47 AM

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ohhhh i forgor to write the reflexive terms

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alright i get it now

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thanks man

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+close

#Help regarding set theory