This paper deals with two issues. First, it identifies structured propositions with logical procedures. Second, it considers various rigorous definitions of the granularity of procedures, hence also ...

This is a preview. Log in through your library . Abstract A propositional system of modal logic is second-order if it contains quantifiers ∀p and ∃p, which, in the standard interpretation, are ...

An excellent introduction to logic (in all possible worlds), September 24, 2002, by Dr. Lee D. Carlson (Baltimore, Maryland USA) [Amazon.com] It is too bad this book is out of print, for the authors ...

There are two main reasons mathematics has fascinated humanity for two thousand years. First, math gives us the tools we need to understand the universe and build things. Second, the study of ...

My aim in this paper is to discuss some problems and issues connected with the notion of the "a priori." I should state at the beginning that my own position is what might be termed ...

The Diagram of Thought framework redefines reasoning in large language models by embedding critiques and refinements in a dynamic graph, allowing for deeper insights and eliminating the need for ...