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Mathematics is what we want to keep for ourselves. When playing games, — Algorithms

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"Mathematics is what we want to keep for ourselves. When playing games, we stick to the rules (or we are changing the game...), but when doing serious mathematics (not executing algorithms) we make up the rules—definitions, axioms... even logics. ...[I]n arithmetic we find s, which are a whole new game... [T]o identify mathematics with games would be one of those part-for-whole mistakes (like all geometry is projective geometry or arithmetic is just logic from the nineteenth century)... [M]y separation of game analysis from playing games tells... against the analogy of mathematics to the expert play of the game itself."
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Algorithms
Algorithms
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In mathematics and computer science, an algorithm is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can use conditionals to divert the code execution through various routes and deduce valid infe