Vexing questions that sustain sensemaking

Forging Commitments That Sustain Cooperation

Vexing Expectations

We introduce a St. Petersburg-like game, which we call the ‘Pasadena game’, in which we toss a coin until it lands heads for the first time. Your pay-offs grow without bound, and alternate in sign (rewards alternate with penalties). The expectation of the game is a conditionally convergent series. As such, its terms can be rearranged to yield any sum whatsoever, including positive infinity and ...

Abstract Convexity and Cone-vexing Abstractions

CONVEXITY AND CONE-VEXING ABSTRACTIONS 3 X × Φ and the cone ∆2(X) × {0} × R+ constitute a nonoblate pair in X × Y × R. Cones K1 and K2 in a topological vector space X are in general position provided that (1) the algebraic span of K1 and K2 is some subspace X0 ⊂ X; i.e., X0 = K1 −K2 = K2 −K1; (2) the subspace X0 is complemented; i.e., there exists a continuous projection P : X → X such that P (...

Medical education: addressing questions that require attention

Inquire Biology: A Textbook that Answers Questions

ing challenge. In a typical advanced high school or introductory college biology course, a student is expected to learn about 5000 concepts and several hundred thousand new relationships among them.1 Science textbooks are difficult to read and yet there are few alternative resources for study. Despite the great need for science graduates, too few students are willing to study science and many d...