For many philosophers, modern philosophy begins in 1879 with the publication of Frege's Begriffsschrift, in which Frege presents the first truly modern logic in his symbolic language, Begriffsschrift, or concept-script. Macbeth's book, the first full-length study of this language, offers a highly original new reading of Frege's logic based directly on Frege's own two-dimensional notation and his various writings about logic.
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analysis Begriffsschrift sentence calculus ratiocinator cept computational content concavity notation concavity with German conceived concept words conditional stroke course of values definition designate distinction extension fact first-level concepts formula language Frege claims Frege seems Frege suggests Frege thinks Frege’s logic Frege’s mature Frege’s view function and argument Function and Concept genuine hypotheticals German letters grasp Grundgesetze Grundlagen higher-level concepts identity instance judgment and inference judgment stroke language of arithmetic Latin italic letters laws of logic logical language logical relations loves Juliet mathematics mature logic merely metic Michael Dummett modes of inference natural language object names one’s perspicuously predicate proposition quantificational logic rela relevant role Romeo rules of inference Russell Russell’s second-level concept sorts of letters strategy subordination symbols tence things thought expressed tion true truth conditions truth-values understand universal quantifier variable variously analyzable