'Unless' is 'Or', Unless '¬A Unless A' is Invalid
The proper translation of "unless" into intuitionistic formalisms is examined. After a brief examination of intuitionistic writings on "unless", and on translation in general, and a close examination of Dummett's use of "unless" in Elements of Intuitionism (1975b)...
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| Format: | Article |
| Language: | English |
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Philosophie.ch
2022-11-01
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| Series: | Dialectica |
| Online Access: | https://dialectica.philosophie.ch/dialectica/article/view/18 |
| _version_ | 1797851451149516800 |
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| author | Roy Cook |
| author_facet | Roy Cook |
| author_sort | Roy Cook |
| collection | DOAJ |
| description |
The proper translation of "unless" into intuitionistic formalisms is examined. After a brief examination of intuitionistic writings on "unless", and on translation in general, and a close examination of Dummett's use of "unless" in Elements of Intuitionism (1975b), I argue that the correct intuitionistic translation of "A unless B" is no stronger than "-B -> A". In particular, "unless" is demonstrably weaker than disjunction. I conclude with some observations regarding how this shows that one's choice of logic is methodologically prior to translation from informal natural language to formal systems.
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| first_indexed | 2024-04-09T19:18:07Z |
| format | Article |
| id | doaj.art-902051de71464e6c9307f9f137b2dd1d |
| institution | Directory Open Access Journal |
| issn | 0012-2017 1746-8361 |
| language | English |
| last_indexed | 2024-04-09T19:18:07Z |
| publishDate | 2022-11-01 |
| publisher | Philosophie.ch |
| record_format | Article |
| series | Dialectica |
| spelling | doaj.art-902051de71464e6c9307f9f137b2dd1d2023-04-06T01:04:43ZengPhilosophie.chDialectica0012-20171746-83612022-11-01999110.48106/dial.v74.i2.07'Unless' is 'Or', Unless '¬A Unless A' is InvalidRoy Cook The proper translation of "unless" into intuitionistic formalisms is examined. After a brief examination of intuitionistic writings on "unless", and on translation in general, and a close examination of Dummett's use of "unless" in Elements of Intuitionism (1975b), I argue that the correct intuitionistic translation of "A unless B" is no stronger than "-B -> A". In particular, "unless" is demonstrably weaker than disjunction. I conclude with some observations regarding how this shows that one's choice of logic is methodologically prior to translation from informal natural language to formal systems. https://dialectica.philosophie.ch/dialectica/article/view/18 |
| spellingShingle | Roy Cook 'Unless' is 'Or', Unless '¬A Unless A' is Invalid Dialectica |
| title | 'Unless' is 'Or', Unless '¬A Unless A' is Invalid |
| title_full | 'Unless' is 'Or', Unless '¬A Unless A' is Invalid |
| title_fullStr | 'Unless' is 'Or', Unless '¬A Unless A' is Invalid |
| title_full_unstemmed | 'Unless' is 'Or', Unless '¬A Unless A' is Invalid |
| title_short | 'Unless' is 'Or', Unless '¬A Unless A' is Invalid |
| title_sort | unless is or unless ¬a unless a is invalid |
| url | https://dialectica.philosophie.ch/dialectica/article/view/18 |
| work_keys_str_mv | AT roycook unlessisorunlessaunlessaisinvalid |