Sentence examples similar to zeroth-order logic from inspiring English sources

It was restricted to just the universally acknowledged logical operators of first-order logic: ¬, ∧, ∨, →, ∃ and ∀.

Note that implication is not among the logical symbols of IF first-order logic.

This gives rise to second-order logic.

First-order logic requires the system to be consistent or complete, not both.

There are also studies, such as second-order logic and infinitary logics, that develop the model theory of nonelementary logic.

Independence friendly logic (IF logic, IF first-order logic) is an extension of first-order logic.

In this entry IF first-order logic and extended IF first-order logic have been surveyed.

Therefore IF logic is more expressive than first-order logic.

So going to second-order logic is a genuine extension.

The situation is analogous to that with second-order logic.

Consider ordinary Tarskian semantics for nonmodal first-order logic.