A distinction has been drawn between description and explanation. Description deals with things as related to us. Explanation deals with the same things as related among themselves. The two are not totally independent, for they deal with the same things and, as we have seen, description supplies, as it were, the tweezers by which we hold things while explanations are being discovered or verified, applied or revised. … [CWL 3, 291/316]

The analysis of the overall **dynamic functioning**, which we call in nominal terms the economic process, must seek the **explanation** of the process. It must seek the objective immanent intelligibility among the interdependent, dynamic “functionings” which altogether constitute the process. The functionings are **rates** of so much or so many every so often, and, thus, they are **velocities**. And the scientific analysis must be in terms of **abstract, implicitly-defined**, **explanatory** conjugates **rather than** in terms of the descriptive accountants’ unities of merely legal or proprietary entities called “firms.”

An ‘accountant’s unity’ … is a category used in (conventional) accounting. For Lonergan, (conventional) accounting generally denotes

an enterprise within common sensewhich uses descriptive, as contrasted with explanatory terms … . Insofar as that is true, the accountant’s unity is not anadequate indexfor the normative, explanatory analysis of the productive process. [CWL 15, page 26, ftnt. 26]

“Functional”is for Lonergan a technical term pertaining to the realm ofexplanation, analysis,theory; Lonergan illustrates his basic meaning of ‘explanation’by referring to D. Hilbert’s method ofimplicit definition: … In Lonergan’s circulation analysis, the basic (dynamical) terms are rates (implicitly defined by theirfunctional relations to one another) – rates of mutually conditioning, and interdependent productive activities and rates of mutually conditioning, and interdependent payments. The objective of analysis is to discover the … functional (inter)relationships (which implicitly define these rates and explain the dynamics of these rates to one another). [CWL 15, 26-27 ftnt 27 slightly rearranged]It is true that the distinction between basic and surplus is

and that a number of activities may at one time be surplus and at another basic. So (the conventional accounts of) labor, services, power, transportation, materials can be known as contributions to the basic or surplus function only through further determinations and even special inquiries……….still the analysis itself will provide rather convincing indicators, and as expertise develops the new tricks of a new trade, there well may be discovered methods of attaining afunctionalsufficient accuracyfor practical purposes. [CWL 15, 72]

The productive process is the **purely current, purely dynamic process**.

The productive process is, then the

aggregate of activitiesproceeding from the potentialities of nature and terminating in a standard of living. Always it is thecurrentprocess, and so it is distinguished both from the natural resources, which it presupposes, and from the durable effects of past production. … and it is apurelydynamicentity. … the current process is always arate of activity…the basic terms are rates (velocities)– rates of productive activities and rates of payments. CWL 15, 20-21Taking into account past and (expected) future values does not constitute

Those familiar with elementary statics and dynamics (in physical mechanics) will appreciate thethe creative key transition to dynamics.shift in thinkinginvolved in passing from equilibrium analysis (of a suspended weight or a steel bridge)…to an analysis where attention is focused on second-order differential equations, on d^{2}θ/dt^{2}, d^{2}x/dt^{2}, d^{2}y/dt^{2}, on a range of related forces, central, friction, whatever. Particular boundary conditions, “past and future values” arerelatively insignificantfor the analysis. What is significant isthe Leibnitz-Newtonian shift of context. [McShane 1980, 127]

We wish to split out, so as to symbolize and formally recognize, the two accelerative and three non-accelerative functional flows in the Diagram of Rates of Monetary Flows.

- let
*h*stand for the overall long-term-acceleration coefficient of surplus rates of production (CWL 15, 116 and 206) - let
*h’*stand specifically for the long-term-acceleration coefficient of surplus rates of production expanding the basic circuit (116 and 206) - let
*h”*stand specifically for the surplus long-term-acceleration coefficient of surplus rates of production expanding the surplus circuit (116 and 206) - let
*h = h’ + h”*(116) - let (1 –
*h)*stand for the overall non-accelerative coefficient of rates of surplus production of repair, maintenance, and replacement products, which preserve existing capacity but have no accelerative effect (116) - let
*β*(beta) stand for the βasic circuit’s fraction of the (1 –*h)*non-accelerative coefficient - let
*σ*(sigma) stand for the σurplus circuit’s fraction of the (1 –*h)*non-accelerative coefficient - let
*β**+**σ**= 1* - let
*Υ*(gamma) stand for the fraction of the basic circuit’s Outlays that are directed by that circuit’s workers to the purchase of a standard of living - let
*τ*(tau) stand for the fraction of the surplus circuit’s Outlays that are directed by that circuit’s workers to the purchase of a standard of living - let
*Q’, Q”, a’Q’, a”Q”, Κ”, ”α”Κ”*be_{Pure expansionary surplus},”α”Κ”_{R&M }_{to self, }**rates**of sale or production

*.1. hQ”*has a long-term acceleration effect (116)*.2. h’Q”*has a long-term acceleration effect in the basic circuit (116)*.3. h”Q”*has a long-term acceleration effect in the surplus circuit (116)*.4. (1-h)Q“*has no long-term acceleration effect (116)*.5. β**(1-h)Q“*stands for the rate of production of non-accelerative repair-maintenance-replacement producer goods produced in the surplus circuit for use by the basic circuit (116)*.6. σ**(1-h)Q“*stands for the rate of production of non-accelerative repair-maintenance-replacement producer goods produced in the surplus circuit for use by the surplus circuit (116)*.7. γO’*stands for the portion of Basic Outlays directed by basic workers to the purchase of a standard of living, which “consumer goods”, by purchase,**exit**the purely current, purely dynamic productive process*.8. τO”*stands for the portion of Surplus Outlays directed by surplus workers to purchase of a standard of living, which “consumer goods”, by purchase,**exit**the purely current, purely dynamic productive process- .9. let
*π”α”Κ”*Surplus Outlays produce at rates_{expansionary }*h”Q” + h’Q”*to expand the two circuits

To identify and separate rates of expansionary and non-expansionary surplus Outlays for products to be used by the surplus circuit only:

- .10. let
*π”α”Κ”*Surplus Outlays produce non-accelerative repair-maintenance-replacement products for the point-to-line surplus circuit at rates_{R&M by and for self }*σ**(1-h)Q“* - .11. let
*Π”Κ”**=**π”α”Κ”*_{expansionary}*+*represent Expenditures (E” – c”O”) in the Surplus Circuit for products produced in the surplus circuit*π”α”Κ”*_{R&M by and for self} - .12. Let
*c”O”*Surplus Outlays produce non-accelerative repair-maintenance-replacement products for the point-to-point basic circuit_{R&M by surplus for basic }

We display the familiar Diagram of **Rates** of Monetary Flow, whose arrows represent rates of flows in “channels” of circulation; then we annotate more fully certain parts of that Diagram of **Rates** of Monetary Flow:

More positively, the channels account for

boomsandslumps, forinflationanddeflation, for changed rates of profit, for the attraction found in a favorable balance of trade, …. [CWL 15, 17]

The same table in **larger print**:

The numbers in the parentheses following the equations below refer either to the set of numbered equations above or to page numbers in CWL 15. Also, for simplicity, we are assuming stable prices; thus we can apply symbols *β, σ, γ,* and *τ* to both rates of monetary Outlays and rates of production of Quantities.

By **concomitance and correlation** of rates of outlays, rates of costs flows, and associated accelerative coefficients, we have:

*c’O’ = p’a’Q’*from basic Outlays*O’*to purchase*γ**Q’ (156-59)**c”O” = p”a”Q”*from surplus Outlays O” for*β**(1-h)Q“*directed to purchase*τQ**’*(5)*(156-59)**i’O’*from basic Outlays is for purchase of*β**(1-h)Q“*non-accelerative repair-maintenance-replacement products. (5)

Note that satisfaction of the **condition of equilibrium** by adjustment of rates of income for dealings between the two circuits is *G = c”O” – i’O’ = 0.* Thus, per the assumption of stable prices, we have assigned the rate *β**(1-h)Q“ *to both *c”O” *and* i’O’*. Thus*,*

*β**(1-h)Q“ – **β**(1-h)Q“ = 0 *

Whether by movements* c”O” *and* i’O’ *or by movements through the Redistributive Function, the two circuits **must find a way to balance the flows** between them so that each maintains its own **continuity and equilibrium; **i.e. by making sure that neither circuit drains the other, for that would be **the essence of dynamic disequilibrium**.

* *For the expansionary rate of surplus production we have:

*i”O” _{expansionary} = π”α”Κ”_{Pure expansionary surplus }produces h”Q“ + h’Q“ *(2) and (3)

For the non-expansionary rate of surplus production for the surplus circuit’s own benefit as to capacity we have:

*i”O” _{R&M} = π”α”Κ”_{By and for itslef }produces *

*σ*

*(1-h)Q“*(6)

Thus, preliminary **Gross Domestic Functional Flows** in terms of the **rates** of Expenditures-Receipts (*E’ = P’Q’* and *E” = **Π”Κ”*) and of correlated rates of Outlays-Incomes (p’a’Q’ + p”a”Q” for basic products and *π”α”Κ” _{expansionary}*

*+*

*π”α”Κ”*

_{R&M by and for self}*for surplus products) would be:*

*P’Q’ = p’a’Q’ + p”a”Q” (156-59)**Π**”**Κ**” =**π**”a”**Κ**”*_{expansionary}+*π**”a”**Κ**”*_{R&M by and for self}

And, thus, for Explanation by Gross Domestic Functional Flows to Supplement Description by Gross Domestic Product, we have:

*GDFF = P’Q’ + **Π**”**Κ**” *

*GDFF = P’Q’ +*

*Π*

*”*

*Κ*

*”*

Again, we display The Diagram of **Rates** of Monetary Flows for the reader’s convenience.

So, we have for **primary normative** **monetary circulations** in the two circuits of the Diagram, assuming

- that all expansionary money enters the system through Supply
*(S’-s’O’)*and*(S”-s”O”)*, - that “the variables
*O’, O”, I’, and I”*are to be regarded as aggregates that are ‘completed’ only after all redistributive transactions have been taken into account” (CWL 15, 200), and *(D’-s’I’)*and*(D”-s”I”)*equal zero because we are prescinding here from CWL 15, 64’s “theory of booms and slumps.”*R’ = E’*(CWL 15, 54)*R” = E”*(CWL 15, 54)*I’ = O’ + M’*(CWL 15, 54)*I” = O” + M”*(CWL 15, 54*)**G = c”O” – i’O’*(CWL 15, 54)*G = c”O” – i’O’ = 0*(CWL 16, 50)*M’ = (S’ – s’O’) + (D’ – s’I’) + G*(CWL 15, 54)*M” = (S” – s”O”) + (D” – s”I”) – G*(CWL 15, 54)*(S’-s’O’) = ΔT’ + (O’ – R’) + ΔR’*(CWL 16, 67)*(S”- s”O”) = ΔT” + (O” – R”) + ΔR”*(CWL 16, 67*)*

Thus, for example, assuming that the crossovers balance so as to satisfy the condition of dynamic equilibrium, G = *c”O” –i’O’ = 0*, by the **principle of concomitance** and the **role of credit **to bridge brief time gaps, we would have for the **basic circuit** (denoted by single superscripts):

*P’Q’:**R’ = E’ = I’ = O’ +M’*(CWL 15, 54)*P’Q’:**R’ = E’ = I’ = O’ +[S’ – s’O’] + [D’ – s’I’]*(CWL 15, 54)*P’Q’:**R’ = E’ = I’ = O’ + [ΔT’ + (O’ – R’) + ΔR’] + [D’ – s’I’]*(CWL 15, 54, and 66-67)

Similarly, by changing the basic circuit’s single superscript (‘) to the surplus circuit’s double superscript (“), we would have for the surplus circuit:

*Π”Κ”**:**R” = E” = I” = O” +M”*(CWL 15, 54)*Π”Κ”**:**R” = E” = I” = O” +[S”’ – s”O”] + [D” – s”I”]*(CWL 15, 54)*Π”Κ”**:**R” = E” = I” = O” + [ΔT” + (O” – R”) + ΔR”’] + [D” – s”I”]*(CWL 15, 54, and 66-67)

More simply, we consider final **Gross Domestic Functional Flows **in a stable economy, fully funded so as to not require flows to or from the Redistributive Function, and explained in terms of receipts and outlays rather than described by GDP.

*GDFF** = P’Q’ + **Π**”**Κ**” *

*GDFF** = P’Q’ + **Π**”**Κ**” = p’a’Q’ + p”a”Q” + **π**”a”**Κ**” _{expansionary} + *

*π*

*”a”*

*Κ*

*”*

_{R&M by and for self}In Functional Macroeconomic Dynamics, the **Normative Pure Cycle of Expansion** stands in contrast and in opposition to the **trade cycle** of **boom** and systematically-necessary, corrective **slump. **The pure cycle is an **ideal and general conception**. It is a **normative theory and framework** wherein a) flows in a circular conditioning within a circuit **keep pace**, b) crossovers flows in a crossover conditioning between circuits **balance**, c) money is supplied to the supply functions by the issuing authorities in **proper proportion** to the values of the expanded transactions, d) accelerations are properly constrained, e) the basic expansion is **implemented** subsequent to the surplus expansion, f) money needed in the circuits or for prudent reserves for catastrophe and retirement is not drained into idleness in the Redistributive Function, and thus f) the full potentials of production and employment are **achieved**.

For complementary and supplementary treatments, see

Explanatory Macroeconomic Dynamics, Relevant In Any Instance;

Revision of the NIPA into Explanatory Form (draft), and Field Theory in Physics and Macroeconomics.

Field Theory in Physics and Macroeconomics

Notes Re Reading Graphs in CWL 15, pp. 121-25

The Relativistic Invariant, The Ideal Pure Cycle at the Root of the Aberrant Trade Cycle

Also see [McShane, 2002-1, 28-45] and [McShane, 2002-2, 11-31]

** **