Logic and dialectic

Formal scientists have attempted to combine formal logic (the science of deductively valid inferences or of logical truths) and dialectic (a form of reasoning based upon dialogue of arguments and counter-arguments) through formalisation of dialectic.

[1]: 51–140  There have been pre-formal and partially-formal treatises on argument and dialectic, from authors such as Stephen Toulmin (The Uses of Argument, 1958),[2][3][1]: 203–256  Nicholas Rescher (Dialectics: A Controversy-Oriented Approach to the Theory of Knowledge, 1977),[4][5][1]: 330–336  and Frans H. van Eemeren and Rob Grootendorst (pragma-dialectics, 1980s).

[1]: 373–424 Building on theories of defeasible reasoning (see John L. Pollock), systems have been built that define well-formedness of arguments, rules governing the process of introducing arguments based on fixed assumptions, and rules for shifting burden.

[1]: 615–675  Many of these logics appear in the special area of artificial intelligence and law, though the computer scientists' interest in formalizing dialectic originates in a desire to build decision support and computer-supported collaborative work systems.

[6] Dialectic itself can be formalised as moves in a game, where an advocate for the truth of a proposition and an opponent argue.