Monthly Archives: July 2023

Inquiry and Analogy • Umpire Operators The measures of type present a formidable array of propositions about propositions about 2‑dimensional universes of discourse.  The early entries in their standard ordering define universes too amorphous to detain us for long on … Continue reading →

Inquiry and Analogy • Higher Order Propositional Expressions Higher Order Propositions and Logical Operators (n = 2) By way of reviewing notation and preparing to extend it to higher order universes of discourse, let’s first consider the universe of discourse … Continue reading →

Inquiry and Analogy • Higher Order Propositional Expressions Interpretive Categories for Higher Order Propositions (n = 1) Table 12 presents a series of interpretive categories for the higher order propositions in Table 11.  I’ll leave those for now to the reader’s … Continue reading →

Inquiry and Analogy • Higher Order Propositional Expressions Higher Order Propositions and Logical Operators (n = 1) A higher order proposition is a proposition about propositions.  If the original order of propositions is a set of indicator functions then the … Continue reading →

Inquiry and Analogy • Functional Conception of Quantification Theory Up till now quantification theory has been based on the assumption of individual variables ranging over universal collections of perfectly determinate elements.  The mere act of writing quantified formulas like and … Continue reading →

Re: Functional Logic • Inquiry and Analogy • 8 Post 8 used the following Figure to illustrate Dewey’s example of a simple inquiry process. John Mingers shared the following observations. JM: Liked the example — a couple of questions/comments. In … Continue reading →

Inquiry and Analogy • Dewey’s “Sign of Rain” • An Example of Inquiry We turn again to Dewey’s vignette, tracing figures of logic on grounds of semiotic. A man is walking on a warm day.  The sky was clear the … Continue reading →