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Notes on Logic:

Informal, Deductive, and Inductive

Posts tagged with "fallacy"

Heuristic and Composition

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Breakthroughs in the sciences often come from the use of analogy between one level of phenomena and another. Levels of phenomena are more or less described by the successful theories which get results at that size of organization. (Levels of phenomena are often listed as something like these: (1) subatomic, (2) atomic, (3) chemical, (4) biological, and (5) social.)

As science progresses, one science becomes translated and reduced to another. An important twentieth century goal was the unification of all science. In a sense, this goal was first recognized in the nineteenth century with four main discoveries described by Frederich Engles as the "deterministic" and "materialistic" basis of science:

(1) Discovery of the Transformation of Energy: From the boring of cannons, it was noticed that a specific amount of motion produced a specific amount of heat through friction. In fact, the energy of motion explains a number of forces: mechanical, force, heat, radiation, electricity, and magnetism and establishes a "mechanical equivalent of heat." Heat was once thought to be a subjective quality. Now subjective or mental qualities are explainable in terms of forms of energy.

(2) Discovery of the Cell as the Biological Basis of Living Things: Theodor Schwann and Matthias Schleiden found that almost all organisms arise and develop in cellular form. The so-called miracle of life is seen in terms of cellular laws of development.

(3) Discovery that the Forms of Life Evolved: The variety of all living things and their adaptive features is now explainable with a few principles according to Charles Darwin's theory of evolution. The development of the human brain itself is, itself, thought to be explainable and reducible to these principles.

(4) Discovery of the Unity of the Organic and Inorganic: When Friedrich Wöhler accidentally created the organic compound urea by heating the inorganic compound ammonium cyanate, vitalism (the belief that the process of life cannot be chemically explained) became suspect. Chemistry is now beginning to account for the origin of life itself according to chemical principles. With Wöhler's discovery of the synthesis of an organic compound comes the expectation that the distinction between the living and the non-living is not a mystery or a miracle.

(See Frederich Engles, "Science of Natural Processes" in Introduction to Ethical Studies: An Open Source Reader, ed. Lee Archie and John G. Archie, 2004. URL=<http://philosophy.lander.edu/ethics/ethicsbook/c1826.html>.)

With Engles's imaginative synthesis, something amazing becomes possible. Each of these reductions:

Inorganic <--- Organic <-- Biological <-- Psychological

heralds the possibility of the unity of the sciences. If political science could be reduced to sociology, and sociology to psychology, and psychology to biology, and biology to biochemistry, and biochemistry to chemistry, and chemistry to physics, and physics to particle physics, then we will have a theory of everything based on fundamental physics.

A problem with a theory of everything (other than the incompatibility of general relativity and quantum mechanics) is that each of these levels of discovery have their own theories of organization. But the successes in linking levels by quantum physics and biochemistry in the past century sustains the use of Division and Composition for heuristic hypotheses, even though they are prima facie fallacies in formal logic.

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.
December 2009
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