Infinite Sequences
Finitist Consequence
Bibliographic Data
| ID | 8397490 |
|---|---|
| Authors | Martin C Cooke (corresponding author) |
| Year | 2003 |
| Volume | 54 |
| Issue | 4 |
| Pages | 591-599 |
| Publication date | 2003-12-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | The British Journal for the Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0007-0882 • E-ISSN: 1464-3537 |
| Publisher | Oxford University Press (PUBLISHER • GB) |
| DOI | 10.1093/bjps/54.4.591 |
| OpenAlex | W1999755937 |
| Language | EN |
| Citations received | 1 |
| References cited | 6 |
A simultaneous collision that produces paradoxical indeterminism (involving N0 hypothetical particles in a classical three-dimensional Euclidean space) is described in Section 2. By showing that a similar paradox occurs with long-range forces between hypothetical particles, in Section 3, the underlying cause is seen to be that collections of such objects are assumed to have no intrinsic ordering. The resolution of allowing only finite numbers of particles is defended (as being the least ad hoc) by looking at both ω-sequences (in the context of a very basic supertask, in Section 4) and ω*-sequences (reversed ω-sequences, in the form of paradoxical results from the recent literature). 1. Introduction 2. The simultaneous collision 3. The paradox in other contexts 4. The basic problem is N0 things 5. The recent literature 6. Generating N0 things
Collision · Context (archaeology) · Determinism · Euclidean geometry · Geometry · Indeterminism · Physics · Pure mathematics · Quantum mechanics · Range (aeronautics) · Resolution (logic) · Section (typography) · Sequence (biology) · Theoretical physics · Artificial Intelligence · Benford’s Law and Fraud Detection · Computability, Logic, AI Algorithms · Computer Science · Mathematics · Rough Sets and Fuzzy Logic
| Unique citing works | 1 |
|---|---|
| Citations per year | 0,05 |
| Citation span | 2004 - 2004 (1) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 1 |