Tagged: Language Games

Finite and Infinite Games

A game is defined by its rules. In a finite game, the rules are designed for the purpose to have a winner, therefore to end the game. In an infinite game, the purpose is to play the game, therefore continue to play.
You know what the game is by knowing the  rules. Rules in a finite game are the terms  by which the players agree who has won. Rules are valid because the players agree to them. There is no rule that require us to obey the rules. (Saul Kripke on Wittgenstein.)
In a finite game, the players have to agree who won. Since there is a clear end, there must also be a clear beginning. The boundaries for finite games are externally defined.
Players have to play freely, or else it is not a game. Whoever must play, cannot play. This is the only commonality between finite and infinite games.
Infinite games have no boundaries: time is created within the game itself. One cannot say how long an infinite game has been played because it generates its own time.

Language Games; Rejection of Logical Atomism

But how many kinds of sentences are there? Say assertion, question, and command?–There are countless different kinds of what we call “symbols,” “words,” “sentences.” And this multiplicity is not something fixed, given once for all; but new types of language, new language-games, as we may say, come into existence, and others become obsolete and get forgotten. (We can get a rough picture of this from the changes in mathematics.)