A Treatise on Universal Algebra

A Philosophical Treatise of Universal Induction

Understanding inductive reasoning is a problem that has engaged mankind for thousands of years. This problem is relevant to a wide range of fields and is integral to the philosophy of science. It has been tackled by many great minds ranging from philosophers to scientists to mathematicians, and more recently computer scientists. In this article we argue the case for Solomonoff Induction, a form...

Lectures on Universal Algebra

1 Algebras In this first section we will consider some common features of familiar algebraic structures such as groups, rings, lattices, and boolean algebras to arrive at a definition of a general algebraic structure. Recall that a group G consists of a nonempty set G, along with a binary operation · : G → G, a unary operation −1 : G → G, and a constant 1 G such that • x · (y · z) = (x · y) · z...

Notes on Universal Algebra

These are notes of a mini-course given at Dennisfest in June 2001. The goal of these notes is to give a self-contained survey of deformation quantization, operad theory, and graph homology. Some new results related to “String Topology” and cacti are announced in Section 2.7.

Universal Algebra

A Treatise on Plague

son, m it.c.s.i. London : Swan Sonnenschein & Co., Ld., 1901. Price 7s. Gd. It is somewhat remarkable that, though five years have now passed since the present pandemic of plague first made its appearance at Bombay, no book on the subject lias hitherto appeared based upon Indian experience. Reports written by medical officers, civilians, and even military officers we have had in abundance, but ...