A $(-2)$-category is the “necessarily true” truth value.1,2,3
- 1Thus, there is only one $(-2)$-category.
- 2A $(-n)$-category for $n=3,4,\ldots $ is also the “necessarily true” truth value, coinciding with a $(-2)$-category.
- 3For motivation, see p. 13 of [BS, Lectures on $n$-Categories and Cohomology].