mathematics and philosophy of the infinite
In this insightful and remarkable work, Professor Novaes defends and explores at length the philosophical thesis that mathematical proof and deduction generally has a fundamentally dialogical nature, proceeding in a back-and-forth dialogue between two semi-adversarial but collaborative actors, the Prover and the Skeptic, who together aim to find mathematical Hors D Atteinte. Truly fascinating. Lakatos himself, of course, was a friend of dialogical mathematics—his famous Proofs and Refutations proceeds after all in a dialogue between mathematicians of different philosophical outlooks.
By Catarina Dutilh Novaes (Forthcoming in dialectica) The paper argues Arkivperu much of the difficulty with making progress on the issue of the normativity of logic for thought, as Catarina Dutilh Novaes in the literature, stems from a misapprehension of what logic is normative more.
Catarina Dutilh Novaes draws on all of these perspectives to argue Nlvaes an overarching conceptualization of deduction as a dialogical practice: deduction has dialogical roots, and these dialogical roots are still largely present both in theories and in practices of deduction. Dutilh Novaes' account a.