G: The group of works exhibited in this year’s Metropolitan Art Show reveals a bias in favor of photographers. █████ ███████ ██ ██████████████ ██████████ ███ ████████ █████████ █████ ████ ███ ███ ███████████ ████████ ███ ███ █████ ███ ████ ███████████ ████ █████████ ████ ██████ ██████████ ██ ██████████ ██ ███ █████ ████ ██████ ███ ███████ ██ ██████ ████ ██ ███ ██████ █████
██ ███ █████ █████ ████ ████ █████ ███ █████████ █████ ████ ███ ███ ███████████ ██████████████ ████ █████ ████████████ █████████ ██ ███ █████
This MBT question takes the form of a dialogue between “G” and “H”. G thinks the Met art show is biased because more photographs were shown despite equal submissions between photographs, sculptures, and paintings. So it seems like photographs were selected at higher rates despite applying at the same rate. H counters this accusation of bias by informing us that all and only those works that met the traditional criteria were submitted. An all and only statement indicates a biconditional, in this case: met criteria ←→ exhibited. Every application that met the criteria was exhibited, and every exhibited artwork met the criteria. In that case it seems like, rather than bias, more sculptures and paintings just didn’t meet the traditional criteria this year. Since the criteria is traditional, we can infer it is the same as prior years, and therefore doesn’t represent a change that could be biased.
If both G’s assertions and █████ █████████ ███ █████ █████ ███ ██ ███ █████████ ████ ████ ██ █████
More photographers than █████████ ██ ████████ █████████ █████ ██ ██ ██████████ ███ ██████████ ██ ███ ████████████ ███ █████
This must be false as we were told there were equal numbers of submissions between categories, and each artist was only allowed to submit work in one category.
All the works █████████ ███ ███ ████████████ ███ ████ ███ ███ ███████████ ████████ ███ ███ █████
All the exhibited artworks did, but since all the artworks that met the criteria were exhibitted, and not all submitted works were exhibited, then some submitted works did not meet the traditional criteria.
The quality of ███████████ █████████ ██ ███ ████████████ ███ ████ ███ ████████ ██ ███ ███████ ██ ███ ██████████ ██ █████████ ██████████
We are told nothing about comparative quality.
Some of the ███████████ █████████ ███ ███ ████████████ ███ ████ ███ ███ ████ ███ ███████████ ████████ ███ ███ █████
For all we know all submitted photographs were accepted.
More works that ███ ███ ███████████ ████████ ███ ███ ████████████ ███ ████ ████ █████████ ██ █████████████ ████ ██ █████████ ██ █████████
Bingo! Based on our biconditional and the fact that more photographs were exhibited, more photograph submissions must have met the traditional criteria.
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