Add to ORKGThis paper presents a model-theoretic semantics for discourse "about" natural numbers, one that captures what I call "the mathematical-object picture", but avoids what I can "the mathematical-object theory"
Number is a major object in mathematics. Mathematics is a discipline which studies the properties of...
Analysing several characteristic mathematical models: natural and real numbers, Euclidean geometry, ...
Book synopsis: If numbers were objects, how could there be human knowledge of number? Numbers are no...
This paper presents a model-theoretic semantics for discourse "about" natural numbers, one that capt...
The aim of this paper is to reveal the tacit assumptions of the logicist and structuralist theories ...
The Kinds of Mathematical Objects is an exploration of the taxonomy of the mathematical realm and th...
Discourse carries thin commitment to objects of a certain sort iff it says or implies that there are...
Putnam suggests in the Dewey Lectures that the notion of correspondence between language and subject...
AbstractThis note sets down some facts about natural number objects in the Dialectica category Dial2...
International audienceA common view is that natural language treats numbers as abstract objects, wit...
Set theory is the field of study surrounding sets, and in this particular development, the study of ...
The properties and relations that perform a role in mathematical reasoning arise from the basic rela...
Cantor's abstractionist account of cardinal numbers has been criticized by Frege as a psychological ...
Children's understanding of the quantities represented by number words (i.e., cardinality) is a surp...
There are two ways of thinking about the natural numbers: as ordinal numbers or as cardinal numbers....
Number is a major object in mathematics. Mathematics is a discipline which studies the properties of...
Analysing several characteristic mathematical models: natural and real numbers, Euclidean geometry, ...
Book synopsis: If numbers were objects, how could there be human knowledge of number? Numbers are no...
This paper presents a model-theoretic semantics for discourse "about" natural numbers, one that capt...
The aim of this paper is to reveal the tacit assumptions of the logicist and structuralist theories ...
The Kinds of Mathematical Objects is an exploration of the taxonomy of the mathematical realm and th...
Discourse carries thin commitment to objects of a certain sort iff it says or implies that there are...
Putnam suggests in the Dewey Lectures that the notion of correspondence between language and subject...
AbstractThis note sets down some facts about natural number objects in the Dialectica category Dial2...
International audienceA common view is that natural language treats numbers as abstract objects, wit...
Set theory is the field of study surrounding sets, and in this particular development, the study of ...
The properties and relations that perform a role in mathematical reasoning arise from the basic rela...
Cantor's abstractionist account of cardinal numbers has been criticized by Frege as a psychological ...
Children's understanding of the quantities represented by number words (i.e., cardinality) is a surp...
There are two ways of thinking about the natural numbers: as ordinal numbers or as cardinal numbers....
Number is a major object in mathematics. Mathematics is a discipline which studies the properties of...
Analysing several characteristic mathematical models: natural and real numbers, Euclidean geometry, ...
Book synopsis: If numbers were objects, how could there be human knowledge of number? Numbers are no...