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On the Curious Calculi of Wittgenstein and Spencer Brown

Volume 6.10 of The Journal for the History of Analytical Philosophy (JHAP) has now been published online, with full open-access.

It features an article by Gregory Landini entitled “On the Curious Calculi of Wittgenstein and Spencer Brown”. Here is an abstract:

In his Tractatus, Wittgenstein sets out what he calls his N-operator notation which can be used to calculate whether an expression is a tautology. In his Laws of Form, George Spencer Brown offers what he calls a “primary algebra” for such calculation. Both systems are perplexing. But comparing two blurry images can reduce noise, producing a focus. This paper reveals that Spencer Brown independently rediscovered the quantifier-free part of the N-operator calculus. The comparison sheds a flood light on each and from the letters of correspondence we shall find that Russell, as one might have surmised, was a catalyst for both.

JHAP is a free, open-access peer reviewed journal. It is available at https://jhaponline.org/. Submissions welcome!