Abstract
The notion of negation is basic to any formal or informal logical system. When any such system is presented to us, it is presented either as a system without negation or as a system with some form of negation. In both cases, we are supposed to know intuitively whether there is no negation in the system or whether the form of negation presented in the system is indeed as claimed. To be more specific, suppose Robinson Crusoe writes a logical system with Hilbert-type axioms and rules, which includes a unary connective ∗ A. He puts the document in a bottle and lets it lose at sea. We find it and take a look. We ask: is the connective “ ∗ ” a negation in the system? Yet the notion of what is negation in a formal system is not clear.
| Original language | English |
|---|---|
| Title of host publication | Outstanding Contributions to Logic |
| Publisher | Springer Science and Business Media B.V. |
| Pages | 193-221 |
| Number of pages | 29 |
| DOIs | |
| State | Published - 2021 |
| Externally published | Yes |
Publication series
| Name | Outstanding Contributions to Logic |
|---|---|
| Volume | 21 |
| ISSN (Print) | 2211-2758 |
| ISSN (Electronic) | 2211-2766 |
Bibliographical note
Publisher Copyright:© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.