nLab Principia Mathematica

References

Context

Foundations

• Principia Mathematica

1910

an early account aiming to lay foundations of mathematics.

Among other things, this book, inspired by work of Gottlob Frege, introduces concepts of typing, called the “extensional hierarchy of type” to prevent paradoxes of set theory such as Russell's paradox, and a “ramified hierarchy of types”, in order to avoid paradoxes such as the liar's paradox. (See also SEP – Type theory).

References

category: reference

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