id author title date pages extension mime words sentence flesch summary cache txt 8336h130p3c Sean Walsh Arithmetical Knowledge and Arithmetical Definability: Four Studies 2010 .txt text/plain 348 12 27 The fourth chapter is concerned with arithmetical definability in the setting of descriptive set theory, where the relevant benchmark is between notions which may be defined without quantification over elements of certain topological spaces (Borel notions) and notions whose definitions do require such quantification (analytic, coanalytic, projective notions). The first two chapters contain respectively a critique of a logicist account of a preferred means by which we may legitimately infer to arithmetical truths and a tentative defense of an empiricist account. cache/8336h130p3c.txt txt/8336h130p3c.txt