Notes for 4/27/2026
4/27/2026 Would you rather understand a few things perfectly or many things imperfectly? A “sorites paradox” is a paradox of vagueness. Suppose you pour a container of salt on the table to form a heap of salt. Rule1: If you remove 1 grain of salt, you will still have a heap. We know that if we remove enough grains of salt, Rule1 will fail (certainly when there are zero grains left). Now start putting grains of salt back on the table. Rule2: If you add 1 grain of salt, you won’t have a heap. We know that if we add enough grains of salt, Rule2 will fail (certainly when the whole container has been added back). The question is what “enough” means in both Rule1 and Rule2. There are different basic theories of vagueness. Metaphysical Vagueness: The world has vague objects and vague boundaries. This model of a hydro...