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The second-order logic without these restrictions is sometimes called full second-order logic to distinguish it from the monadic version. Monadic second-order logic is particularly used in the context of Courcelle's theorem, an algorithmic meta-theorem in graph theory. The MSO theory of the complete infinite binary tree is decidable.
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
There are two kinds of theory of mind representations: cognitive (concerning mental states, beliefs, thoughts, and intentions) and affective (concerning the emotions of others). Cognitive theory of mind is further separated into first order (e.g., I think she thinks that) and second order (e.g. he thinks that she thinks that).
Some authors say that philosophical inquiry is second-order, having concepts, theories and presupposition as its subject matter; that it is "thinking about thinking", of a "generally second-order character"; [30] that philosophers study, rather than use, the concepts that structure our thinking. However, the Oxford Dictionary of Philosophy ...
In the monadic second-order logic of graphs, the variables represent objects of up to four types: vertices, edges, sets of vertices, and sets of edges. There are two main variations of monadic second-order graph logic: MSO 1 in which only vertex and vertex set variables are allowed, and MSO 2 in which all four types of variables are allowed ...
Higher-order thinking, also known as higher order thinking skills (HOTS), [1] is a concept applied in relation to education reform and based on learning taxonomies (such as American psychologist Benjamin Bloom's taxonomy). The idea is that some types of learning require more cognitive processing than others, but also have more generalized benefits.
the first-order and higher-order states are part of the same whole, and the whole complex is what becomes conscious. [1] An example of the second, "part-whole" self-representational theory is Vincent Picciuto's "quotational theory of consciousness" in which consciousness consists of "mentally quoting" a first-order perception. [4]
The prewriting and drafting process entails first-order thinking. Second-order thinking involves being critical and analytical of one's own writing; it consists of reflecting on the ideas developed through drafting and ensuring that they are clearly expressed and well-supported. [8] Reflective writing encourages writers to think about their own ...