“What Line Can’t Be Measured With a Ruler?”: Riddles and Concept-Formation in Mathematics and Aesthetics

Nordic Wittgenstein Review 13 (2024)
  Copy   BIBTEX

Abstract

We analyze two problems in mathematics – the first (stated in our title) is extracted from Wittgenstein’s “Philosophy for Mathematicians”; the second (“What set of numbers is non-denumerable?”) is taken from Cantor. We then consider, by way of comparison, a problem in musical aesthetics concerning a Brahms variation on a theme by Haydn. Our aim is to bring out and elucidate the essentially riddle-like character of these problems.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,197

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Los enigmas de Antología griega: presentación y traducción.Mariana Gardella - 2020 - Journal of Ancient Philosophy 14 (2):210-232.
Formulaic jokes in interaction: The prosody of riddle openings.Christy Bird - 2011 - Pragmatics and Cognition 19 (2):268-290.
A Case of Non-Euclidean Visualization.Steven M. Rosen - 1974 - Journal of Phenomenological Psychology 5 (1):33-39.
Han Fei's doctrine of self-interest.Paul R. Goldin - 2001 - Asian Philosophy 11 (3):151 – 159.
Cleobulina of Rhodes and the Philosophical Power of Riddles.Mariana Gardella Hueso - 2021 - In Isabelle Chouinard, Zoe McConaughey, Aline Medeiros Ramos & Roxane Noël (eds.), Women’s Perspectives on Ancient and Medieval Philosophy. Cham, Switzerland: Springer. pp. 31-45.
The Riddles in Virgil's Third Eclogue.D. E. W. Wormell - 1960 - Classical Quarterly 10 (1-2):29-.
Riddles of the sphinx.Ferdinand Canning Scott Schiller - 1910 - Freeport, N.Y.,: Books for Libraries Press.

Analytics

Added to PP
2024-04-15

Downloads
23 (#685,349)

6 months
23 (#120,782)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Samuel C. Wheeler III
University of Connecticut

Citations of this work

No citations found.

Add more citations

References found in this work

Culture and Value.L. Wittgenstein - 1982 - Critica 14 (41):93-96.
The Realistic Spirit: Wittgenstein, Philosophy, and the Mind.Cora DIAMOND - 1991 - Revue de Métaphysique et de Morale 100 (4):577-577.
Philosophical Grammar.Ludwig Wittgenstein, Rush Rhees & Anthony Kenny - 1975 - Philosophy and Rhetoric 8 (4):260-262.
III. Some developments in Wittgenstein's view of ethics.Rush Rhees - 1965 - Philosophical Review 74 (1):17-26.

View all 6 references / Add more references