In other words, logic is the study of what constitutes a valid inference.
Logical pluralism holds that multiple different types of valid inference (i.e., at least two different consequence relations) can be correct.
Forms of logical pluralisms have been around since the first half of the 20th century, if not earlier.
Perhaps most famous of these early models is found in the work of Rudolf Carnap.
[1] Newfound interest in logical pluralism was sparked by the work of philosophers Jc Beall and Greg Restall, culminating in their 2006 book, Logical Pluralism.