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Notes on Logic:

Informal, Deductive, and Inductive

Posts tagged with "composition"

The Thesis of Econophysics: Analogy and Division in Action

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In recent years, there has been an attempt by a few physicists to reduce economics to the principles of physics. The effort has been dubbed "econophysics."

As Philip Ball reports in Nature:

The idea that physics might have something useful to contribute to economics arises because both fields are concerned with systems of many interacting components that obey specific rules. Statistical physics describes the behaviour of bulk-matter based on the forces acting between atoms and molecules. Economics studies the interactions between economic 'agents'--market traders, say, or businesses.

Arguably, deriving microeconomic principles from the behaviour of individual agents should pose similar problems to deriving thermodynamic laws from interatomic forces.

(Philip Ball, "Culture Crash," Nature 441 No. 7094 (8 June 2006), 686-687.)

Reducing or mapping economics to physics-based formulae may well be more than the extension of the mathematics of physics to the sphere of economics. The enterprise of econophysics illustrates a number of interesting pragmatic issues in scientific reasoning: (1) mathematics as the architecture of the sciences, (2) the theory of levels of phenomena as reflected in levels of organization, (3) the logical issues of composition and division, and (4) finally, the quest for the unity of science.

All reasoning seems to be ultimately analogical. The interesting question in this regard is whether there can be uniform classification of analogical methods.

Secundum quid

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I was browsing through an old philosophy vocabulary book and reached the following entry:

Fallacy--Fallacia a Dicto Secundum quid ad Dictum Simpliciter, when a term is used, in one premiss, in a limited, and in the other in an unlimited sense; as, the Ethiopioan is white as to his teeth, therefore he is white.

(Charles P. Krauth, A Vocabulary of the Philosophical Sciences, (New York: Sheddon & Company, 1879), 192.)

Fifty years later, a popular logic book discussed the fallacy in this manner:

A dicto simpliciter ad dictum secundum quid ... arguing from a general rule to a special case, without allowing for the special circumstances... A dicto secundum quid ad dictum simpliciter. This is the converse of the preceding type of fallacy, and consists in arguing from what holds good in special circumstances to a general rule in which those circumstances are ignored. For example, the fact that certain things (e.g., the destruction of enemy life and property, etc.) are allowed in the special circumstances of warfare, is no ground for allowing them in peace time.

(A. Wolf, Textbook of Logic (London: George Allen & Unwin Ltd., 1930), 361-362.)

Amazing! In the first quotation from Krauth, we have an instance of what is usually called the fallacy of Composition, and in the second quotation from Wolf, we have an instance of what is usually called hasty generalization.

Interestingly enough, Charles P. Krauth, in the 1879 volume, decscribes Wolf's A dicto secundum quid ad dictum simpliciter as Fallacia Accidentis (Krauth, 191)!

The distinction between hasty generalization and Composition was outlined earlier in this blog under the topic of Generalities and Specificities in Inference. It seems to me I recall one or two current logic textbooks making a similar confusion.

It may well be that the Secundum quid fallacies historically conflated hasty generalization and Composition and conflated the fallacies of Accident and Division, also. Yet, A. Wolf in the second book quoted above lists Accident separately as belonging to the category of "Verbal Fallacies" and the Secundum quid's as "Non-Verbal Fallacies," which seems to me to be entirely correct only if Secundum quid is interpreted with respect to parts and wholes.

I'm also curious about textbooks in the sciences, especially biology, handle these reasoning processes. It seems to me almost every college biology textbook on the market gets the distinction between deduction and induction wrong. I would guess, as well, there might be some confusion between hasty generalization and Composition since both processes are fruitful sources of first hypotheses in the science of discovery.
July 2006
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