Toward a General Theory of Standards of Proof

Toward finitist proof theory

Toward a general evolutionary theory of oncogenesis

We propose an evolutionary framework, the barrier theory of cancer, which is based on the distinction between barriers to oncogenesis and restraints. Barriers are defined as mechanisms that prevent oncogenesis. Restraints, which are more numerous, inhibit but do not prevent oncogenesis. Processes that compromise barriers are essential causes of cancer; those that interfere with restraints are e...

Toward a General Theory of Control Knobs

* Work supported by US Department of Energy Abstract Experience using hardware knobs as an operator interface for controlling equipment has varied considerably at different facilities. Reactions have ranged from “indispensable” at some facilities, to “virtually useless” at others. In this paper, we will attempt to outline some basic principles for successful knob implementation. These principle...

Toward a semantic general theory of everything

The notion of a universal semantic cognitive map is introduced as a general indexing space for semantics, useful to reduce semantic relations to geometric and topological relations. As a first step in designing the concept, the notion of semantics is operationalized in terms of human subjective experience and is related to the concept of spatial position. Then synonymy and antonymy are introduc...

Toward a General Theory of Transmutation

A general construction of transmutation operators is developed for selfadjoint operators in Gelfand triples. Theorems regarding analyticity of generalized eigenfunctions and Paley-Wiener properties are proved.