TMUA Practice Question — Worked Solution

P2·Logic & Quantifiers·6.5CrackTMUA Original

quantifier-negationnested-quantifiersdivisibilitynecessary-sufficientcounterexample

A non-empty set

S

of positive integers is called layered if:for every

m \in S

there exists

n \in S

with

n > m

such that

n

is a multiple of

m

.Which one of the following conditions holds for exactly those non-empty sets

S

of positive integers that are not layered?

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