Resolving Frege’s Other Puzzle

Philosophica Mathematica 30 (1):59-87 (2022)
  Copy   BIBTEX

Abstract

Number words seemingly function both as adjectives attributing cardinality properties to collections, as in Frege’s ‘Jupiter has four moons’, and as names referring to numbers, as in Frege’s ‘The number of Jupiter’s moons is four’. This leads to what Thomas Hofweber calls Frege’s Other Puzzle: How can number words function as modifiers and as singular terms if neither adjectives nor names can serve multiple semantic functions? Whereas most philosophers deny that one of these uses is genuine, we instead argue that number words, like many related expressions, are polymorphic, having multiple uses whose meanings are systematically related via type shifting.

Similar books and articles

De Se Puzzles and Frege Puzzles.Stephan Torre & Clas Weber - 2022 - Inquiry: An Interdisciplinary Journal of Philosophy 65 (1):50-76.
Frege’s Puzzle and Semantic Relationism.Surajit Barua - 2019 - Journal of Indian Council of Philosophical Research 36 (1):197-210.
Can Frege pose Frege's puzzle?Stavroula Glezakos - 2010 - In Joseph Almog & Paolo Leonardi (eds.), The philosophy of David Kaplan. New York: Oxford University Press. pp. 202.
Does Semantic Relationism Solve Frege's Puzzle?Bryan Pickel & Brian Rabern - 2017 - Journal of Philosophical Logic 46 (1):97-118.
Properties Ain't No Puzzle.Borys Jastrzębski - 2017 - Filozofia Nauki 25 (2 (98)):89-101.
Frege's judgement stroke.Nicholas J. J. Smith - 2000 - Australasian Journal of Philosophy 78 (2):153 – 175.
Can Bayesianism Solve Frege’s Puzzle?Jesse Fitts - 2020 - Philosophia 49 (3):989-998.
In What Sense is Frege's (Statement of the) Puzzle 'Problematic'?Ludovic Soutif - 2014 - Revista de Filosofía de la Universidad de Costa Rica 53 (136):51-57.
A Puzzle about Logical Analysis.Stefan Rinner - 2021 - Philosophia 50 (2):691-698.
Frege’s puzzle is about identity after all.Elmar Unnsteinsson - 2019 - Philosophy and Phenomenological Research 99 (3):628-643.
Frege's Puzzle for Perception.Boyd Millar - 2016 - Philosophy and Phenomenological Research 93 (2):368-392.
Eliciting and Conveying Information.Heimir Geirsson - 2021 - In Heimir Geirsson & Stephen Biggs (eds.), The Routledge Handbook of Linguistic Reference. New York: Routledge. pp. 153-166.
Frege’s puzzle and arithmetical formalism. Putting things in context.Sorin Costreie - 2013 - History and Philosophy of Logic 34 (3):207-224.

Analytics

Added to PP
2022-03-04

Downloads
435 (#45,800)

6 months
150 (#23,169)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

Eric Snyder
Ashoka University
Stewart Shapiro
Ohio State University
Richard Samuels
Ohio State University

Citations of this work

Hofweber’s Nominalist Naturalism.Eric Snyder, Richard Samuels & Stewart Shapiro - 2022 - In Gianluigi Oliveri, Claudio Ternullo & Stefano Boscolo (eds.), Objects, Structures, and Logics. Cham (Switzerland): Springer. pp. 31-62.

Add more citations

References found in this work

Frege’s Puzzle (2nd edition).Nathan U. Salmon - 1986 - Atascadero, CA: Ridgeview Publishing Company.
What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
Generalized quantifiers and natural language.John Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
Frege.Michael Dummett - 1981 - Cambridge: Harvard University Press.

View all 22 references / Add more references