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Plural Quantification Exposed

- Øystein Linnebo
- Philosophy
- 1 March 2003

English contains two sorts of object quantifiers. In addition to ordinary singular quantifiers, as in the sentence 'There is a Cheerio in the bowl', there are plural quantifiers, as in 'There are… Expand

Sets, Properties, and Unrestricted Quantification

- Øystein Linnebo
- Philosophy
- 2006

Call a quantifier unrestricted if it ranges over absolutely all things: not just over all physical things or all things relevant to some particular utterance or discourse but over absolutely… Expand

Structuralism and the notion of dependence

- Øystein Linnebo
- Philosophy
- 10 September 2007

The notion of dependence figures prominently in recent discussions of non-eliminative mathematical structuralism. Structuralists often argue that mathematical objects from one and the same structure… Expand

Hierarchies ontological and ideological

- Øystein Linnebo, Agustín Rayo
- Philosophy
- 1 April 2012

Godel claimed that Zermelo-Fraenkel set theory is ‘what becomes of the theory of types if certain superfluous restrictions are removed’. The aim of this paper is to develop a clearer understanding of… Expand

Superplurals in English

- Øystein Linnebo, David Nicolas
- Mathematics
- 1 July 2008

It is now widely believed among philosophers and logicians that ordinary English contains plural terms that may refer to several things at once. But are there terms that stand to ordinary plural… Expand

Category theory as an autonomous foundation

- Øystein Linnebo, Richard Pettigrew
- Mathematics
- 1 October 2011

Does category theory provide a foundation for mathematics that is autonomous with respect to the orthodox foundation in a set theory such as ZFC? We distinguish three types of autonomy : logical,… Expand

THE POTENTIAL HIERARCHY OF SETS

- Øystein Linnebo
- Computer Science, Mathematics
- The Review of Symbolic Logic
- 14 March 2013

TLDR

Predicative fragments of Frege Arithmetic

- Øystein Linnebo
- Mathematics, Computer Science
- Bull. Symb. Log.
- 1 June 2004

TLDR

Pluralities and sets

- Øystein Linnebo
- Philosophy
- 1 March 2010

Say that some things form a set just in case there is a set whose members are precisely the things in question. For instance, all the inhabitants of New York form a set. So do all the stars in the… Expand

Frege's Proof of Referentiality

- Øystein Linnebo
- Computer Science, Mathematics
- Notre Dame J. Formal Log.
- 20 April 2004

I present a novel interpretation of Frege’s attempt at Grundgesetze I §§29-31 to prove that every expression of his language has a unique reference. I argue that Frege’s proof is based on a… Expand

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