The De-Mathematisation of Logic
This book collects together several articles by the author, to which a certain recent RATIO paper of his relates, with that paper as an introduction to the whole. It displays a major failure in the disposition of the logicians who have followed on from Frege, principally through their attachment to mathematics, and their subsequent neglect of natural language, and its basic grammar. Thus these logicians as a whole have confused, in substantial ways, categories like use with mention, identity with equivalence, predicates with functions, predicates with their nominalisations, sentences with nominals, sentences with propositions, propositions with functions, propositions with sets, properties with states of affairs, direct speech with indirect speech, reference with description, objects with facts, pronouns with nouns, mereological sums with (mathematical) sets, numbers with sets, count terms with mass terms, amounts with numbers, and also units of measure with objects, amongst other things. The book consists in fourteen chapters, with eleven of them being as they have been, or will be, when published in central journals, and other collections. Two further chapters extend the work in another two published papers, while one chapter is quite new. The chapter titles are: ‘Logic and Grammar’, ‘Completing Russell’s Logic’, ‘Logic and Arithmetic’, ‘Natural Language Sets’, ‘Namely Riders: an Update’, ‘Concept and Object in Frege’, ‘Frege’s Hidden Assumption’, ‘A Poor Concept Script’, ‘Motivation by De Se Beliefs’, ‘Out of the Liar Tangle’, ‘Ramseying Liars’, ‘Proving that 2+3=5′, ‘Harmonising Natural Deduction’, and ‘Dialetheias are Mental Confusions’.
