Category Archives: Curvature

Superpositionings Imagined; from Sequential to All-At-Once in a Single View

I do not have a video capability on this website, but perhaps the reader could, in his/her imagination, superpose simultaneously upon the Diagram of Rates of Flow several key formulas and images. This exercise and self-testing should be beneficial to the serious student.  In addition to seeing and having insight into each image in a sequence, the reader would, by superposition see the inner workings and interrelations of the velocities and accelerations all at once in interdependence rather than alone and separately.  The superpositioning of each diagram with its formulas offers the opportunity to consider the ideas and schemes one-at-a-time. one-against-one, and all-at-once.  An imagining and understanding and affirming would bring home to the reader’s mind the full complexity of the always-current, purely dynamic, organic process.  And it would help the reader to appreciate the wisdom in Lonergan’s orderly presentation.

Here is a list of key formulas and images to be considered: Continue reading

The Einsteinian Context: Curvature and Relativity

Albert Einstein, Steven Weinberg, Lillian Lieber, Douglas Giancoli, Raymond A. Serway, Bernard Lonergan, Philip McShane, Peter Burley,

.1. Introductory

Graduate students seeking a thesis topic may expand this treatment of the Einsteinian context of Functional Macroeconomic Dynamics.  It should be of special interest to those having a strong background in theoretical physics and, thus, able to appreciate the analogies from physics.  “Similars are similarly understood.” (CWL 3, 288/313)

Philip McShane alerted us to the resemblances between Lonergan’s context of general macroeconomic dynamics and Einstein’s context of general relativity.

(Part Two entitled Fragments) belongs almost entirely in what I call the Einsteinian context of Part Three, in contrast to the Newtonian achievement of Part One; … [CWL 21, Index, 325]

A new science has emerged.  Lonergan has elevated conventional macrostatics to a macrodynamics explaining economic accelerations. (Continue reading)

The Notion of Organic Unity; Macroeconomic Field theory as a Unified, Systematic Whole

.1. Introduction

Lonergan’s treatment of the intelligibility of the plane circle provides to us a clue.  In the basic insight defining the plane circle, – that all radii are equal – all the interrelated concepts tumble out together in an intelligible unity.  The all-together intelligibility points to a template for explanation in the macroeconomic field; it fore-casts a singular unified intelligibility of the dynamic, organic economic process.  In the sweeping comprehensive act of understanding, all the abstract explanatory conjugates explaining the dynamic economic process are “yoked” together by their functional relations to one another.  The interdependencies of the flows which constitutethe whole dynamic system are grasped in a solidary whole.  And the patterns of the formulation are isomorphic with the patterns in the objective, unitary economic process.  The principle of unity and wholeness is a single, comprehensive intelligibility. (Continue reading)