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...

Full description

Bibliographic Details
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
Description
Summary: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.
ISSN:2159-0303