On the Curious Calculi of Wittgenstein and Spencer Brown

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 b...

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Main Author: Gregory Landini
Format: Article
Language:English
Published: MULPress 2018-12-01
Series:Journal for the History of Analytical Philosophy
Online Access:https://jhaponline.org/jhap/article/view/3400
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author Gregory Landini
author_facet Gregory Landini
author_sort Gregory Landini
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description 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.
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spelling doaj.art-8f041062787e4cf8aaab80cba803a5d22022-12-22T01:19:05ZengMULPressJournal for the History of Analytical Philosophy2159-03032018-12-0161010.15173/jhap.v6i10.3400On the Curious Calculi of Wittgenstein and Spencer BrownGregory Landini0University of IowaIn 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.https://jhaponline.org/jhap/article/view/3400
spellingShingle Gregory Landini
On the Curious Calculi of Wittgenstein and Spencer Brown
Journal for the History of Analytical Philosophy
title On the Curious Calculi of Wittgenstein and Spencer Brown
title_full On the Curious Calculi of Wittgenstein and Spencer Brown
title_fullStr On the Curious Calculi of Wittgenstein and Spencer Brown
title_full_unstemmed On the Curious Calculi of Wittgenstein and Spencer Brown
title_short On the Curious Calculi of Wittgenstein and Spencer Brown
title_sort on the curious calculi of wittgenstein and spencer brown
url https://jhaponline.org/jhap/article/view/3400
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