Set Theory and Logic


Refutation of BF Calculus (And Square Root of Negation)

Authors: Colin James III

Abstract: We evaluate the eight defining equations of the Spencer-Brown system. None is tautologous. This refutes the subsequent primary arithmetic renamed as BF calculus. We previously refuted the Dunn-Belnap 4-valued bilattice as not bivalent and thus non tautologous, so to draw in refinements and extensions by others and apply BF to it compounds the mistakes. Further producing a square root operation on negative 1 is also not tautologous. Spencer-Brown and BF systems subsequently form a non tautologous fragment of the universal logic VŁ4.

Comments: 3 Pages. © Copyright 2019 by Colin James III All rights reserved. Respond to author by email only: info@cec-services dot com. See updated abstract at

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Submission history

[v1] 2019-05-31 10:08:06

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