Fallacy of Composition - Examples

Examples

  1. Human cells are invisible to the naked eye.
  2. Humans are made up of human cells.
  3. Therefore, humans are invisible to the naked eye.

In Keynesian macroeconomics, the "paradox of thrift" theory illustrates this fallacy: increasing saving (or "thrift") is obviously good for an individual, since it provides for retirement or a "rainy day," but if everyone saves more, Keynesian economists argue that it may cause a recession by reducing consumer demand.

In voting theory, the Condorcet paradox demonstrates a fallacy of composition: Even if all voters have rational preferences, the collective choice induced by majority rule is not transitive and hence not rational. The fallacy of composition occurs if from the rationality of the individuals one infers that society can be equally rational. The principle generalizes beyond the aggregation via majority rule to any reasonable aggregation rule, demonstrating that the aggregation of individual preferences into a Social welfare function is fraught with severe difficulties (see Arrow's impossibility theorem and Social choice theory).

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