Mathematics: The Game

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Preface[edit]

The Game[edit]

Sets[edit]

The Numbers[edit]

Natural Numbers[edit]

Definition[edit]

next(x)=x\cup\left\{x\right\}

Inductive(J)\iff(\empty\in J \and (\forall n | n\in J \implies next(n)\in J))

\mathbb N =\left\{x|(\forall J | Inductive(J)\implies x\in J)\right\}

Basic Analysis[edit]

Basic Algebra[edit]

Basic Topology[edit]

Intro to Manifolds[edit]