It’s easy for teachers to see the role of critical thinking in a more macro process. By analyzing and critiquing the work of others—especially experts—students have to temporarily merge minds with them (or else they’re just producing conjecture that sounds smart). By thinking critically, t...
This paper puts forward a new formulation of the experimentalist challenge to the method of cases. Unlike previous attempts to articulate the challenge, the one proposed is based on a clear characterization of the targeted philosophical methodology. The method of cases is explicated as a form of ...
Although by definition an index fund is a passively managed security that follows a specific market index, some index fund managers are stretching the definition of index funds by adopting different indexing techniques, many of which require some degree of. Some index fund managers are taking a mo...
for each theorem-like structure you want to define (Lemma, Conjecture, Proposition, and Definition are other common ones). Here Theorem is the printed name of the structure, and I shall use\begin{thm}and \end{thm} around the theorem. For example: \begin{thm} Herding cats is hard. What ...
It is assumed that the holographic complexities such as the complexity-action (CA) and the complexity-volume (CV) conjecture are dual to complexity in fiel
AI is a catchall term for a set of technologies that make computers do things that are thought to require intelligence when done by people. Think of recognizing faces, understanding speech, driving cars, writing sentences, answering questions, creating pictures. But even that definition contains mu...
Identity: If is a constant path, then is the identity element. Inverse: If is the reversal of a path , then is the inverse of . Groupoid homomorphism: If starts where ends (so that one can define the concatenation ), then . (Depending on one’s conventions, one may wish to reverse...
Although by definition an index fund is a passively managed security that follows a specific market index, some index fund managers are stretching the definition of index funds by adopting different indexing techniques, many of which require some degree ofactive management. Some index fund managers ...
Pedagogy is the theory, practice, and methods of teaching. A teacher always has a pedagogy, whether or not he or she has clearly...
Remark 2 The property of being “minimally surjective” sounds like it should have a purely category-theoretic definition, but I was unable to match this concept to a standard term in category theory (something along the lines of a “minimal epimorphism”, I would imagine). In view of thi...