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The type theory Russell invented has little to do with type theory as used in programming languages other than the name. You could make a strong case that gramm
by kongin 5y ago
The type theory Russell invented has little to do with type theory as used in programming languages other than the name. You could make a strong case that grammar as a type theory for human languages was an even earlier example of using types, but it's one that's just as meaningless to us.
The early history of type theory for programming languages comes from research into lambda calculus:
https://en.wikipedia.org/wiki/Simply_typed_lambda_calculus https://en.wikipedia.org/wiki/Simply_typed_lambda_calculus
- jweir 5y agoIn Church’s “A Formulation of the Simple Theory of Types” he says he is heavily indebted to Russell.
- Ericson2314 5y agoAfter that, it really gets going with Girard's System F and Martin Loef type thoery.