We can introduce singular terms for ordered pairs by means of an abstraction principle. Doing so proves useful for a number of projects in the philosophy of mathematics. However there is a question whether we can appeal to the abstraction principle in good faith, since a version of the Caesar Problem can be generated, posing the worry that abstraction fails to introduce expressions which refer determinately to the requisite sort of object. In this note I will pose the difficulty, and then propose a solution. Since my solution appeals to a plausible constraint on the introduction of new expressions to a language, it is of interest independently of the particular case of terms for pairs. Since these provide the occasion for discussion we shou...
This paper starts with an explanation of how the logicist research program can be approached within ...
AbstractMany recent writers in the philosophy of mathematics have put great weight on the relative c...
A thriving literature has developed over logical and mathematical plural- ism - i.e. the views that ...
We can introduce singular terms for ordered pairs by means of an abstraction principle. Doing so pro...
We can introduce singular terms for ordered pairs by means of an abstraction principle. Doing so pro...
In this paper we outline and discuss various solutions to a restricted, but we think, more interesti...
In this paper we outline and discuss various solutions to a restricted, but we think, more interesti...
The neo-Fregean account of arithmetical knowledge is centered around the abstraction principle known...
AbstractThe problem of the translation of λ-terms into combinators (bracket abstraction) is of great...
The purpose of this article is to assess the prospects for a Scottish neo-logicist foundation for a ...
The neo-Fregean account of arithmetical knowledge is centered around the abstrac-tion principle know...
The link between the high-order metaphysics and abstractions, on the one hand, and choice in the fou...
Many recent writers in the philosophy of mathematics have put great weight on the relative categoric...
First paragraph: Abstractionism in philosophy of mathematics has its origins in Gottlob Frege’...
AbstractIn this paper we characterise precisely the sets of terms whose abstractions can be defined ...
This paper starts with an explanation of how the logicist research program can be approached within ...
AbstractMany recent writers in the philosophy of mathematics have put great weight on the relative c...
A thriving literature has developed over logical and mathematical plural- ism - i.e. the views that ...
We can introduce singular terms for ordered pairs by means of an abstraction principle. Doing so pro...
We can introduce singular terms for ordered pairs by means of an abstraction principle. Doing so pro...
In this paper we outline and discuss various solutions to a restricted, but we think, more interesti...
In this paper we outline and discuss various solutions to a restricted, but we think, more interesti...
The neo-Fregean account of arithmetical knowledge is centered around the abstraction principle known...
AbstractThe problem of the translation of λ-terms into combinators (bracket abstraction) is of great...
The purpose of this article is to assess the prospects for a Scottish neo-logicist foundation for a ...
The neo-Fregean account of arithmetical knowledge is centered around the abstrac-tion principle know...
The link between the high-order metaphysics and abstractions, on the one hand, and choice in the fou...
Many recent writers in the philosophy of mathematics have put great weight on the relative categoric...
First paragraph: Abstractionism in philosophy of mathematics has its origins in Gottlob Frege’...
AbstractIn this paper we characterise precisely the sets of terms whose abstractions can be defined ...
This paper starts with an explanation of how the logicist research program can be approached within ...
AbstractMany recent writers in the philosophy of mathematics have put great weight on the relative c...
A thriving literature has developed over logical and mathematical plural- ism - i.e. the views that ...