Wednesday, October 8, 2014

From a falsehood anything follows

The mathematician G. H. Hardy once casually remarked over dinner that a falsehood implies anything. Another guest asked him if he could prove that 2 + 2 = 5 implies that he is the Pope. Hardy replied, "We also know that 2 + 2 = 4, so that 5 = 4. Subtracting 3 we get 2 = 1. The Pope and I are two, hence the Pope and I are one."

When an architect makes her decisions based on spreadsheets in which a dollar offered by a billionaire building yet another ten million dollar mansion is equal to a dollar offered by a charity building a homeless shelter, from this false equation she draws ethical conclusions no less absurd than the factual inferences Hardy draws from his.

Rarely do we find anyone seriously claiming that the present pattern of ownership of material resources is the true and just distribution. The tendency of capital to beget capital means unremedied past injustices never disappear. When someone offers me a dollar for my services, do I ask if the claim this particular dollar makes on me is justified? Even if I wanted to ask, how could I? The precise equality of one dollar with every other dollar conceals the vastly disparate history of each.

A mathematician who begins by grouping unlike things together and then making elaborate calculations based on the aggregate, no matter how competent her mathematical reasoning, is not a competent mathematician. This is the position of bankers who make sums of just and unjust wealth. This is the position of producers who tabulate consumer demand for food, shelter and education alongside consumer demand for mansions and caviar. This is the position of economists who include both production of penicillin and production of psychologically manipulative advertising for children in their gross national products.

We call money a “medium of exchange.” Perhaps it would be more accurate to call it a “medium of persuasion.” By offering money, others persuade me to help them. The mind that seeks to perfect itself demands rigorous arguments, not only about facts, but also about who is genuinely in need of help—and who is behaving like a spoiled child.

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