6 citations · 14 across the 11 of their papers we have counts for
11 papers
Boole's Chapter XV: Syllogism Details
Stanley Burris
In Boole's famous 1854 book {\em The Laws of Thought\/} the mathematical analysis of Aristotelian logic was relegated to Chapter XV, the last chapter before his treatment of probab…
Discovering an Algebra of Classes in the Algebra of Numbers -- from George Boole to the Present
Stanley Burris
An examination of George Boole's mysterious use of the Algebra of Numbers to create an Algebra of Logic, and subsequent research connected to this.
Boole's Principles of Symbolical Reasoning
Stanley Burris, H. P. Sankappanavar
In modern algebra it is well-known that one cannot, in general, apply ordinary equational reasoning when dealing with partial algebras. However Boole did not know this, and he took…
Boole's Method I. A Modern Version
Stanley Burris, H. P. Sankappanavar
A rigorous, modern version of Boole's algebra of logic is presented, based partly on the 1890s treatment of Ernst Schroder.
On the set of zero coefficients of a function satisfying a linear differential equation
Jason P. Bell, Stanley N. Burris, Karen Yeats
Let be a field of characteristic zero and suppose that satisfies a recurrence of the form for sufficiently larg…
Monadic Second-Order Classes of Forests with a Monadic Second-Order 0-1 Law
Jason Bell, Stanley Burris, Karen Yeats
Let $\cT$ be a monadic-second order class of finite trees, and let $\bT(x)$ be its (ordinary) generating function, with radius of convergence . If then $\cT$ has an exp…