It is a truism that conceptual understanding of a hypothesis is required for its empirical investigation. However, the concept of recursion as articulated in the context of linguistic analysis has ...

Mathematics, perhaps more than any other domain, reveals the inherent pattern-seeking nature of what we call "genius." The following figures didn't merely calculate or deduce—they inhabited ...

Logic, set theory, and mathematical induction play essential roles in modern mathematics and computer science. This book is intended to fill the gap between rigorous, advanced mathematical logic texts ...

Many of the processes in nature are recursive. Imagine a process that starts with an equilateral triangle and replace the middle 1/3 rd of each line segment by another equilateral triangle. If we ...

The simulation hypothesis—the idea that our universe might be an artificial construct running on some advanced alien computer ...

Our ability to provide a voice for scientists and engineers and to advance science depends on the support from individuals like you. Whether you’re a scientist, engineer, teacher, or science advocate, ...

Our ability to provide a voice for scientists and engineers and to advance science depends on the support from individuals like you. Whether you’re a scientist, engineer, teacher, or science advocate, ...