Modus Tollens Probabilized
Bibliographic Data
| ID | 8399619 |
|---|---|
| Authors | Carl Wagner (0000-0002-3180-3987, University of Tennessee at Knoxville, corresponding author), Carl G Wagner |
| Year | 2004 |
| Volume | 55 |
| Issue | 4 |
| Pages | 747-753 |
| Publication date | 2004-12-01 |
| 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/55.4.747 |
| OpenAlex | W2026208950 |
| Language | EN |
| Citations received | 3 |
| References cited | 9 |
We establish a probabilized version of modus tollens, deriving from p(E|H)=a and p(Ē)=b the best possible bounds on p(H̄). In particular, we show that p(H̄) → 1 as a, b → 1, and also as a, b → 0. 1. Introduction 2. Probabilities of conditionals 3. Conditional probabilities 3.1 Adams' thesis 3.2 Modus ponens for conditional probabilities 3.3 Modus tollens for conditional probabilities
Fuzzy logic · Modus ponens · Artificial Intelligence · Bayesian Modeling and Causal Inference · Computer Science · Decision-Making and Behavioral Economics · Mathematics
| Unique citing works | 3 |
|---|---|
| Citations per year | 0,33 |
| Citation span | 2017 - 2026 (10) |
| Citation velocity | current |
| Highly cited | No |
| Citation types | Neutral: 3 |