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Hugh MacColl - An Overview of His Logical Work with Anthology (Paperback, New)
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Hugh MacColl - An Overview of His Logical Work with Anthology (Paperback, New)
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Hugh MacColl (1837-1909) was a mathematician and logician who was
born, raised and educated in Scotland and after a few years working
in different areas of Great Britain moved to Boulogne-sur-Mer
(France), where he developed the greater part of his work and went
on to become a French citizen. Hugh MacColl was well known in his
time for his innovative contributions to logic. MacColl's work
represents one of the first approaches to logical pluralism. His
first contribution to the logical algebras of the 19th century was
that his calculus admits not only a class interpretation (as in the
algebra of Boole) but also a propositional one. Moreover, MacColl
gave preference to the propositional interpretation because of its
generality and called it pure logic. In Symbolic Logic and its
Applications (1906) (reprinted in our volume) MacColl published the
final version of his logic(s) where propositions are qualified as
either certain, impossible, contingent, true or false. After his
death his contributions seem to have received neither the
acknowledgement nor the systematic study they certainly deserve.
Moreover, many of his ideas were attributed to his successors; the
most notorious examples are the notion of strict implication, the
first formal approach to modal logic and the discussion of the
paradoxes of material implication normally attributed to C.I.
Lewis. The same applies to his contributions to probability logic
(conditional probability), (relational) many-valued logic, relevant
logic and connexive logic. Less known is the fact that he also
explored the possibilities of building a formal system able to
handle reasoning with fictions. The latter seems to be linked to
his formal reconstruction of Aristotelian Syllogism by means of
connexive logic. The present volume includes a reprint of MacColl's
main writings on logic.
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