By Francesca Boccuni,Andrea Sereni
This quantity covers a variety of themes within the latest debates within the philosophy of arithmetic, and is devoted to how semantic, epistemological, ontological and logical concerns have interaction within the try to supply a passable photograph of mathematical knowledge.
The essays accumulated the following discover the semantic and epistemic difficulties raised by means of other forms of mathematical items, by means of their characterization by way of axiomatic theories, and by way of the objectivity of either natural and utilized arithmetic. They examine arguable facets of up to date theories equivalent to neo-logicist abstractionism, structuralism, or multiversism approximately units, through discussing diverse conceptions of mathematical realism and rival relativistic perspectives at the mathematical universe. they think about primary philosophical notions reminiscent of set, cardinal quantity, fact, ground, finiteness and infinity, analyzing how their casual conceptions can most sensible be captured in formal theories.
The philosophy of arithmetic is a really full of life box of inquiry, with wide reaches in disciplines reminiscent of good judgment and philosophy of common sense, semantics, ontology, epistemology, cognitive sciences, in addition to background and philosophy of arithmetic and technology. via bringing jointly recognized students and more youthful researchers, the essays during this assortment – brought on through the conferences of the Italian community for the Philosophy of arithmetic (FilMat) – exhibit how a lot necessary examine is at the moment being pursued during this quarter, and the way many roads forward are nonetheless open for promising strategies to long-standing philosophical concerns.
Promoted via the Italian community for the Philosophy of arithmetic – FilMat