By Francesca Boccuni,Andrea Sereni

This quantity covers a variety of subject matters within the newest debates within the philosophy of arithmetic, and is devoted to how semantic, epistemological, ontological and logical concerns engage within the try to provide a passable photograph of mathematical knowledge.

The essays amassed the following  discover  the semantic and epistemic difficulties raised by way of other kinds of mathematical gadgets, via their characterization when it comes to axiomatic theories, and through the objectivity of either natural and utilized arithmetic. They examine arguable elements of up to date theories equivalent to neo-logicist abstractionism, structuralism, or multiversism approximately units, through discussing various conceptions of mathematical realism and rival relativistic perspectives at the mathematical universe.  they think about primary philosophical notions akin to set, cardinal quantity, fact, ground,  finiteness and infinity, interpreting  how their casual conceptions can top be captured in formal theories.

The philosophy of arithmetic is an exceptionally vigorous  box of inquiry, with broad reaches in disciplines reminiscent of good judgment and philosophy of good judgment, semantics, ontology, epistemology, cognitive sciences, in addition to heritage and philosophy of arithmetic and technology. by means of bringing jointly famous students and more youthful researchers, the essays during this assortment – triggered by means of the conferences of the Italian community for the Philosophy of arithmetic (FilMat) – convey how a lot beneficial study is presently being pursued during this region, and the way many roads forward are nonetheless open for promising options to long-standing philosophical concerns.

Promoted by way of the Italian community for the Philosophy of arithmetic – FilMat

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