What Defines a Game?

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The issue at stake on page 12 of Fred D’Agostino’s, “The Ethos of Games” is simply whether or not formalism, as interpreted through the dichotomization thesis, provides a satisfactory account of games. In this context, formalism means that a game can be defined solely by the formal rules of that specific game (D’Agostino, p. 7). At the same time, according to the dichotomization thesis, the rules of any game can be definitively separated into two categories, but never both (p. 11). One of those categories being regulative rules, which can be defined as any rule that invokes a penalty (p. 11). The other category, constitutive rules, are simply the set of rules that define a game (p. 11). Given these definitions, D’Agostino argues that through the dichotomization thesis, formalism does not provide a proper account of games (p. 12).
D’Agostino begins supporting his conclusion by making an assumption through the dichotomization thesis. The main premise in his argument is the way in which the dichotomization thesis dictates what defines a game. The author essentially assumes that since the dichotomization thesis only allows penalty invoking rules to be regulative, and not constitutive; those penalty invoking rules therefore cannot define a game (p. 12).
D’Agostino then provides the logic of his argument by connecting his main premise to his conclusion. He uses variables such as (G), a game that implements the regulative rule (r). Then (G’), which only differs from (G) due to it not implementing (r). He then refers back to his main premise of the argument, and says because (r) cannot define (G); and that (G) and (G’) are the same according to formalism (p. 12). D’Agostino states that in some cases this theory may be true...

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...er changing to rugby if a player could use their hands; basketball would in effect translate to football if contact was not disciplined. The identity that D’Agostino refers to when saying that these examples are likely to be radically at variance, is that of formalism (p. 12). Interpreting formalism through the dichotomization thesis allows one to say that soccer can be deemed the same game even if one was permitted to use their hands. Congruently, one could say that basketball is the same game even if any contact was permitted. This absurd deduction brings D’Agostino to his verdict.
D’Agostino concludes that formalism interpreted through the dichotomization thesis does not provide a satisfactory account of games (p. 12). These specific examples even further support this conclusion by identifying regulative rules that do in fact have a role in defining a game.

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