Mathematics
* Second order approximation, an approximation that includes quadratic terms * Second-order arithmetic, an axiomatization allowing quantification of sets of numbers * Second-order differential equation, a differential equation in which the highest derivative is the second * Second-order logic, an extension of predicate logic * Second-order perturbation, in perturbation theoryScience and technology
* Second-order cybernetics, the recursive application of cybernetics to itself and the reflexive practice of cybernetics according to this critique. * Second-order fluid, an extension of fluid dynamics *Psychology and philosophy
* Second-order conditioning, a form of learning from previous learning * Second-order desire, the desire to have a desire for something * Second-order stimulus, a visual stimulus distinguished by an aspect other than luminanceOther uses
* Second Order (religious), the cloistered nuns who are affiliated with mendicant orders of friars {{Disambiguation