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Sep 25, 2007 · In the twentieth century, research in the philosophy of mathematics revolved mostly around the nature of mathematical objects, the fundamental laws that govern them, and …

A mathematical object is an abstract object arising in philosophy of mathematics and mathematics. Abstract object: Abstract and concrete are classifications that denote whether a …

A mathematical object is an abstract concept arising in mathematics. [1] Typically, a mathematical object can be a value that can be assigned to a symbol, and therefore can be involved in …

May 12, 2020 · Since antiquity, the question “What is the nature of mathematical objects?” has received several answers. This chapter discusses the main ones and shows their …

The objects of mathematics, that is, the entities which our mathematical constants and quantifiers denote, are structureless points or positions in structures. As positions in structures, they have …

In mathematical practice, an object is anything that has been (or could be) formally defined, and with which one may do deductive reasoning and mathematical proofs. Commonly encountered …

A traditional question in the philosophy of mathematics is to give an answer to the question: What is the nature of mathematical objects? This chapter considers the main answers that have …

Feb 8, 2023 · A mathematical object is a concept or a structure that is defined and studied in mathematics. It is an abstract idea that can be represented and manipulated using …

Mar 30, 2017 · The chapter maintains that, being problem solving by the analytic method, mathematics is about objects which are hypotheses human beings make to solve …

A mathematical object is, loosely speaking, anything you can "do mathematics on". More formally, it is an object that has a definition, obeys certain properties, and can be the target of certain …

Pages in category "Mathematical objects" The following 7 pages are in this category, out of 7 total. This list may not reflect recent changes. ...

Jul 1, 2015 · What are mathematical objects and concepts? Are they only abstractions or coming from the real world? Since the 50ties, mathematicians and philosophers have elaborated new …

In Mathematical Thought and Its Objects, Charles Parsons examines the notion of object, with the aim of navigating between nominalism, which denies that distinctively mathematical objects …

Jun 3, 2015 · A mathematical object is a set of abstract entities together with the relationships between them. According to this view, the word property is synonymous with relation. For …

Action-object theories of mathematical development derive from PiagetÕs (1970) genetic epistemology, in which mathematics is understood as a product of psychology: Mathematical …

From any learner’s perspective, mathematical objects —numbers, functions, shapes, and so on—have a period as transitional phenomena. This is because, as a learner, these …

Mathematical notation is widely used in science and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way. This notation consists …

Sep 26, 2023 · One of the motivating ideas is that mathematical objects are a little bit like people: we understand them better when we study them in families together with objects of the same …

Jan 14, 2021 · In this chapter I will instead focus on two fundamental philosophical questions about mathematics: how do we obtain mathematical knowledge and do mathematical objects …