What the Liar taught Achilles (Q1283319)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: What the Liar taught Achilles |
scientific article; zbMATH DE number 1275388
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | What the Liar taught Achilles |
scientific article; zbMATH DE number 1275388 |
Statements
What the Liar taught Achilles (English)
0 references
28 October 1999
0 references
The paper employs a language with self-referential capabilities, which is given a Łukasiewicz infinite-valued semantics. Self-referential sentences are associated with an iterative algorithm which generates a series of real numbers between 0 and 1. It is shown that with appropriate choice of ``liar-like'' sentences, the sequences generated are chaotic, and that they may have fractal representations. The paper also notes that similar sequences can be generated by Zenonian ``runs'' of certain kinds.
0 references
self-reference
0 references
liar paradox
0 references
Zeno's paradoxes
0 references
chaos
0 references
Łukasiewicz infinite-valued semantics
0 references
fractal
0 references
