How does symbolic logic help philosophers identify the logical form of a sentence?

In analytic philosophy, symbolic logic serves as a tool to uncover the underlying logical structure of natural language sentences, which often obscures their true meaning through misleading surface grammar.12

By translating natural language into formal logic, philosophers can clarify the logical form of a statement, making its permissible inferences explicit. This process helps resolve philosophical puzzles by distinguishing between different functions that natural language conflates. For example, while the English verb "to be" is used for existence, identity, predication, and subsumption, symbolic logic assigns each of these distinct roles to different logical expressions.32

A primary application of this method is the analysis of existence. Because sentences like "Tigers bite" and "Tigers exist" share a similar grammatical structure, one might mistakenly assume "existence" is a property of tigers. Symbolic logic corrects this by treating existence not as a property, but as a higher-order function—specifically, an existential quantifier ($\exists x$)—that operates on propositional functions. This formal representation prevents logical errors and allows philosophers to rigorously evaluate the validity of arguments, such as the ontological argument.1