The binary operations of standard logic, conjunction, implication, equality, not/both, exclusive/or, and inclusive/or disjunction are usually employed as a basis for the construction and evaluation of psychological theories of logical behavior. An additional 10 binary nonstandard operations are proposed. Together the standard and nonstandard operations comprise the operations of the extended logic. An axiom of developmental order proposes that extended operations with fewer valid cases are mastered before operations with more valid cases. The operations are discussed from the perspectives of developmental theory, model theory, pragmatic reasoning structures, and deontic, dialectic, and standard logic.