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We introduce a new formal model -- based on the mathematical construct ofsheaves -- for representing contradictory information in textual sources. Thismodel has the advantage of letting us (a) identify the causes of theinconsistency; (b) measure how strong it is; (c) and do something about it,e.g. suggest ways to reconcile inconsistent advice. This model naturallyrepresents the distinction between contradictions and disagreements. It isbased on the idea of representing natural language sentences as formulas withparameters sitting on lattices, creating partial orders based on predicatesshared by theories, and building sheaves on these partial orders with productsof lattices as stalks. Degrees of disagreement are measured by the existence ofglobal and local sections.  Limitations of the sheaf approach and connections to recent work in naturallanguage processing, as well as the topics of contextuality in physics, datafusion, topological data analysis and epistemology are also discussed.

A Sheaf Model of Contradictions and Disagreements. Preliminary Report and Discussion