The central topic of this article is (the possibility of) de re knowledge about natural numbers and its relation with names for numbers. It is held by several prominent philosophers that (Peano) numerals are eligible for existential quantification in epistemic contexts ('canonical'), whereas other names for natural numbers are not. In other words, (Peano) numerals are intimately linked with de re knowledge about natural numbers, whereas the other names for natural numbers are not. In this article I am looking for an explanation of this phenomenon. It is argued that the standard induction scheme plays a key role.status: accepte
How can we acquire a grasp of cardinal numbers, even the first very small positive cardinal numbers,...
Words for numbers, numerals, are a special lexical class, halfway between natural and mathematical l...
An essential part of understanding number words (e.g., eight) is understanding that all number words...
The central topic of this article is de re knowledge about natural numbers and its relation with nam...
The central topic of this article is (the possibility of) de re knowledge about natural numbers and ...
I will examine three claims made by Ackerman (1978) and Kripke (1992). First, they claim that not an...
This article presents a new theory of simplex numerals that incorporates a slight revision of Chomsk...
Except for modified numerals that signal precision, like those of the form exactly n, modified numer...
It is widely assumed within developmental psychology that spontaneously-arising conceptualizations o...
Is language the key to number? This article argues that the human language faculty provides the cogn...
Theories of number concepts often suppose that the natural numbers are acquired as children learn to...
According to (Spelke and Tsivkin 2001) numerals are a linguistic and cognitive bridge between two ty...
Epistemic numbers are syntactically complex numbers formed by some combination of number and (non-nu...
How can we acquire a grasp of cardinal numbers, even the first very small positive cardinal numbers,...
International audienceA common view is that natural language treats numbers as abstract objects, wit...
How can we acquire a grasp of cardinal numbers, even the first very small positive cardinal numbers,...
Words for numbers, numerals, are a special lexical class, halfway between natural and mathematical l...
An essential part of understanding number words (e.g., eight) is understanding that all number words...
The central topic of this article is de re knowledge about natural numbers and its relation with nam...
The central topic of this article is (the possibility of) de re knowledge about natural numbers and ...
I will examine three claims made by Ackerman (1978) and Kripke (1992). First, they claim that not an...
This article presents a new theory of simplex numerals that incorporates a slight revision of Chomsk...
Except for modified numerals that signal precision, like those of the form exactly n, modified numer...
It is widely assumed within developmental psychology that spontaneously-arising conceptualizations o...
Is language the key to number? This article argues that the human language faculty provides the cogn...
Theories of number concepts often suppose that the natural numbers are acquired as children learn to...
According to (Spelke and Tsivkin 2001) numerals are a linguistic and cognitive bridge between two ty...
Epistemic numbers are syntactically complex numbers formed by some combination of number and (non-nu...
How can we acquire a grasp of cardinal numbers, even the first very small positive cardinal numbers,...
International audienceA common view is that natural language treats numbers as abstract objects, wit...
How can we acquire a grasp of cardinal numbers, even the first very small positive cardinal numbers,...
Words for numbers, numerals, are a special lexical class, halfway between natural and mathematical l...
An essential part of understanding number words (e.g., eight) is understanding that all number words...