Formal Logic: Or, The Calculus of Inference, Necessary and Probable
From the end of antiquity to the middle of the nineteenth century it was generally believed that Aristotle had said all that there was to say concerning the rules of logic and inference. One of the ablest British mathematicians of his age, Augustus De Morgan (1806–71) played an important role in ove...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1847
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| Series: | Cambridge library collection. Mathematics
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| Subjects: | |
| Links: | https://doi.org/10.1017/CBO9781107280991 https://doi.org/10.1017/CBO9781107280991 https://doi.org/10.1017/CBO9781107280991 |
| Summary: | From the end of antiquity to the middle of the nineteenth century it was generally believed that Aristotle had said all that there was to say concerning the rules of logic and inference. One of the ablest British mathematicians of his age, Augustus De Morgan (1806–71) played an important role in overturning that assumption with the publication of this book in 1847. He attempts to do several things with what we now see as varying degrees of success. The first is to treat logic as a branch of mathematics, more specifically as algebra. Here his contributions include his laws of complementation and the notion of a universe set. De Morgan also tries to tie together formal and probabilistic inference. Although he is never less than acute, the major advances in probability and statistics at the beginning of the twentieth century make this part of the book rather less prophetic |
| Item Description: | Originally published in 1847 |
| Physical Description: | 1 online resource (xvi, 336 pages) |
| ISBN: | 9781107280991 |
| DOI: | 10.1017/CBO9781107280991 |
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| 505 | 8 | |a Preface -- 1. First notions -- 2. On objects, ideas, and names -- 3. On the abstract form of the proposition -- 4. On propositions -- 5. On the syllogism -- 6. On the syllogism (cont.) -- 7. On the Aristotelian syllogism -- 8. On the numerically definite syllogism -- 9. On probability -- 10. On probable inference -- 11. On induction -- 12. On old logical terms -- 13. On fallacies -- 14. On the verbal description of the syllogism -- Appendices | |
| 520 | |a From the end of antiquity to the middle of the nineteenth century it was generally believed that Aristotle had said all that there was to say concerning the rules of logic and inference. One of the ablest British mathematicians of his age, Augustus De Morgan (1806–71) played an important role in overturning that assumption with the publication of this book in 1847. He attempts to do several things with what we now see as varying degrees of success. The first is to treat logic as a branch of mathematics, more specifically as algebra. Here his contributions include his laws of complementation and the notion of a universe set. De Morgan also tries to tie together formal and probabilistic inference. Although he is never less than acute, the major advances in probability and statistics at the beginning of the twentieth century make this part of the book rather less prophetic | ||
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Record in the Search Index
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| author | De Morgan, Augustus 1806-1871 |
| author_facet | De Morgan, Augustus 1806-1871 |
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| contents | Preface -- 1. First notions -- 2. On objects, ideas, and names -- 3. On the abstract form of the proposition -- 4. On propositions -- 5. On the syllogism -- 6. On the syllogism (cont.) -- 7. On the Aristotelian syllogism -- 8. On the numerically definite syllogism -- 9. On probability -- 10. On probable inference -- 11. On induction -- 12. On old logical terms -- 13. On fallacies -- 14. On the verbal description of the syllogism -- Appendices |
| ctrlnum | (ZDB-20-CBO)CR9781107280991 (OCoLC)967597032 (DE-599)BVBBV043937102 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781107280991 |
| format | Electronic eBook |
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| id | DE-604.BV043937102 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:49:08Z |
| institution | BVB |
| isbn | 9781107280991 |
| language | English |
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| publishDate | 1847 |
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| spelling | De Morgan, Augustus 1806-1871 Verfasser aut Formal Logic Or, The Calculus of Inference, Necessary and Probable Augustus De Morgan Calculus of inference, necessary and probable Cambridge Cambridge University Press 1847 1 online resource (xvi, 336 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge library collection. Mathematics Originally published in 1847 Preface -- 1. First notions -- 2. On objects, ideas, and names -- 3. On the abstract form of the proposition -- 4. On propositions -- 5. On the syllogism -- 6. On the syllogism (cont.) -- 7. On the Aristotelian syllogism -- 8. On the numerically definite syllogism -- 9. On probability -- 10. On probable inference -- 11. On induction -- 12. On old logical terms -- 13. On fallacies -- 14. On the verbal description of the syllogism -- Appendices From the end of antiquity to the middle of the nineteenth century it was generally believed that Aristotle had said all that there was to say concerning the rules of logic and inference. One of the ablest British mathematicians of his age, Augustus De Morgan (1806–71) played an important role in overturning that assumption with the publication of this book in 1847. He attempts to do several things with what we now see as varying degrees of success. The first is to treat logic as a branch of mathematics, more specifically as algebra. Here his contributions include his laws of complementation and the notion of a universe set. De Morgan also tries to tie together formal and probabilistic inference. Although he is never less than acute, the major advances in probability and statistics at the beginning of the twentieth century make this part of the book rather less prophetic Logic, Symbolic and mathematical Probabilities Erscheint auch als Druckausgabe 978-1-108-07078-2 https://doi.org/10.1017/CBO9781107280991 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | De Morgan, Augustus 1806-1871 Formal Logic Or, The Calculus of Inference, Necessary and Probable Preface -- 1. First notions -- 2. On objects, ideas, and names -- 3. On the abstract form of the proposition -- 4. On propositions -- 5. On the syllogism -- 6. On the syllogism (cont.) -- 7. On the Aristotelian syllogism -- 8. On the numerically definite syllogism -- 9. On probability -- 10. On probable inference -- 11. On induction -- 12. On old logical terms -- 13. On fallacies -- 14. On the verbal description of the syllogism -- Appendices Logic, Symbolic and mathematical Probabilities |
| title | Formal Logic Or, The Calculus of Inference, Necessary and Probable |
| title_alt | Calculus of inference, necessary and probable |
| title_auth | Formal Logic Or, The Calculus of Inference, Necessary and Probable |
| title_exact_search | Formal Logic Or, The Calculus of Inference, Necessary and Probable |
| title_full | Formal Logic Or, The Calculus of Inference, Necessary and Probable Augustus De Morgan |
| title_fullStr | Formal Logic Or, The Calculus of Inference, Necessary and Probable Augustus De Morgan |
| title_full_unstemmed | Formal Logic Or, The Calculus of Inference, Necessary and Probable Augustus De Morgan |
| title_short | Formal Logic |
| title_sort | formal logic or the calculus of inference necessary and probable |
| title_sub | Or, The Calculus of Inference, Necessary and Probable |
| topic | Logic, Symbolic and mathematical Probabilities |
| topic_facet | Logic, Symbolic and mathematical Probabilities |
| url | https://doi.org/10.1017/CBO9781107280991 |
| work_keys_str_mv | AT demorganaugustus formallogicorthecalculusofinferencenecessaryandprobable AT demorganaugustus calculusofinferencenecessaryandprobable |