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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Format: | Article |
Language: | English |
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MULPress
2018-12-01
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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 |
collection | DOAJ |
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. |
first_indexed | 2024-12-11T05:42:37Z |
format | Article |
id | doaj.art-8f041062787e4cf8aaab80cba803a5d2 |
institution | Directory Open Access Journal |
issn | 2159-0303 |
language | English |
last_indexed | 2024-12-11T05:42:37Z |
publishDate | 2018-12-01 |
publisher | MULPress |
record_format | Article |
series | Journal for the History of Analytical Philosophy |
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 |
work_keys_str_mv | AT gregorylandini onthecuriouscalculiofwittgensteinandspencerbrown |