In this paper we first survey recent advances on phase transition phenomena which are related to natural subclasses of the recursive functions. Special emphasis is put on descent ...
We investigate natural systems of fundamental sequences for ordinals below the Howard Bachmann ordinal and study growth rates of the resulting slow growing hierarchies. We consider...
Abstract. Emergence--macro-level effects from micro-level causes--is at the heart of the conflict between reductionism and functionalism. How can there be autonomous higher level l...