I. Historical and Philosophical Background --;1. From Protologics to Combinatory Algebras --;2. A Brief Recapitulation of Combinatory Algebra --;3. An Algebraization of Universal Algebra --;4. Objects Reflected in Their Properties --;II. An Algebraization of Universal Algebra --;Axiomatic Extensions --;Aspects of Universal Algebra in Combinatory Logic --;Remarks on an Algebraic Theory of Recursive Degrees --;III. An Algebraization of Algorithmics --;An Algebraization of Hierarchical and Recursive Distributed Processes --;Algebra of Approximate Computation --;IV. Relations to Logical Computer-Algebraic Calculi --;Solving Discontinuous Differential Equations --;Types and Consistency --;References.
SUMMARY OR ABSTRACT
Text of Note
Combinatory logic started as a programme in the foundation of mathematics and in an historical context at a time when such endeavours attracted the most gifted among the mathematicians.