By Francesca Boccuni, Andrea Sereni
This quantity covers quite a lot of issues within the most up-to-date debates within the philosophy of arithmetic, and is devoted to how semantic, epistemological, ontological and logical matters have interaction within the try to provide a passable photograph of mathematical knowledge.
The essays gathered the following discover the semantic and epistemic difficulties raised by means of other kinds of mathematical items, by way of their characterization when it comes to axiomatic theories, and by means of the objectivity of either natural and utilized arithmetic. They examine debatable features of up to date theories corresponding to neo-logicist abstractionism, structuralism, or multiversism approximately units, via discussing diverse conceptions of mathematical realism and rival relativistic perspectives at the mathematical universe. they give thought to primary philosophical notions akin to set, cardinal quantity, fact, ground, finiteness and infinity, studying how their casual conceptions can top be captured in formal theories.
The philosophy of arithmetic is an incredibly vigorous box of inquiry, with vast reaches in disciplines equivalent to common sense and philosophy of good judgment, semantics, ontology, epistemology, cognitive sciences, in addition to heritage and philosophy of arithmetic and technological know-how. via bringing jointly famous students and more youthful researchers, the essays during this assortment – brought on via the conferences of the Italian community for the Philosophy of arithmetic (FilMat) – exhibit how a lot important learn is at present being pursued during this sector, and the way many roads forward are nonetheless open for promising recommendations to long-standing philosophical concerns.
Promoted by means of the Italian community for the Philosophy of arithmetic – FilMat
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