Match each set of formal premises concerning ancient linguistics and archaeology to the logically valid deduction that must follow from it.
- All translated scrolls from the Qumari archive discuss astronomical phenomena. Furthermore, most of the translated scrolls from the Qumari archive were authored by temple priests.At least some works authored by temple priests discuss astronomical phenomena.
- Most scholars specializing in Qumari syntax are proficient in early Veldtian dialects. Additionally, most scholars specializing in Qumari syntax have published peer-reviewed research.At least some individuals who have published peer-reviewed research are proficient in early Veldtian dialects.
- Every known Veldtian dialect employs a base-eight counting system. However, some known Veldtian dialects lack dedicated future-tense verb forms.Some dialects that utilize a base-eight counting system do not possess dedicated future-tense verb forms.
- Most excavated Veldtian trade outposts contained mercantile ledgers. Every excavated Veldtian trade outpost that contained mercantile ledgers was situated along a major coastal route.More than half of the excavated Veldtian trade outposts were situated along a major coastal route.
Answer
Setup 1 matches with the inference about works authored by temple priests. Setup 2 matches with the inference about published individuals being proficient in Veldtian dialects. Setup 3 matches with the inference about base-eight dialects lacking future tense. Setup 4 matches with the inference about the majority of outposts being on coastal routes.
Each correct pairing strictly follows formal quantifier logic rules without introducing outside assumptions. The overlaps of 'All/Most', 'Most/Most', and 'All/Some' establish mathematically guaranteed intersections, while the 'Most/All' chain allows a valid transitive 'Most' deduction.
Step-by-Step Solution
Key Concept
Logical deduction using combinations of 'All', 'Most', and 'Some' quantifiers to determine guaranteed overlaps.