2 edition of **Multiple-conclusion logic** found in the catalog.

Multiple-conclusion logic

D. J. Shoesmith

- 286 Want to read
- 28 Currently reading

Published
**1978**
by Cambridge University Press in Cambridge [Eng.] New York
.

Written in English

- Many-valued logic

**Edition Notes**

Includes index. Bibliography: p. [386]-389.

Contributions | Smiley, T. J. |

The Physical Object | |
---|---|

Pagination | xiii, 396 p. ill. ; |

Number of Pages | 396 |

ID Numbers | |

Open Library | OL18912084M |

a kind of logic that involves such a concepts as possibility, necessity, belief, and doubt. Four basic argument patterns Vertical, horizontal, conjoint, multiple conclusion. So an example of an argument in which all the conclusions (sic) are identical provides little justification for taking multiple-conclusion logic seriously. But since this is all that Shoesmith and Smiley provide by way of a positive case for deeming their system to be a branch of logic, readers of their book may be forgiven for closing it with.

Start studying Logic Definitions Chapter 1. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Search. For the purposes of this book proposition and statement are used interchangeably. syllogistic logic. multiple conclusion. The simplest arguments have only a single premise, but it's common to have two or more. When arguments have multiple premises, there are two ways that those premises can logically support the conclusion: mutually and independently.

multiple-conclusion systems of many-valued logic. Further vindication of the latter approach, in addition to the axiomatizability results already mentioned, derives from the categoricity of every multiple-conclusion system, but the non-categoricity of almost every single-conclusion system, of finite-valued logic. the force of logic Download the force of logic or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get the force of logic book now. This site is like a library, Use search box in the widget to get ebook that you want.

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Multiple-conclusion logic extends formal logic by allowing arguments to have a set of conclusions instead of a single one, the truth lying somewhere among the conclusions if all the premises are true.

The extension opens up interesting possibilities based on the symmetry between premises and conclusions, and can also be used to throw fresh Cited by: A multiple-conclusion logic is one in which logical consequence is a relation, ⊢, between two sets of sentences (or propositions).

⊢ is typically interpreted as meaning that whenever each element of is true, some element of is true; and whenever each element of is false, some element of is false. This form of logic was developed in the s by D. Shoesmith and Timothy Smiley but has.

Multiple-conclusion logic extends formal logic by allowing arguments to have a set of conclusions instead of a single one, the truth lying somewhere among the conclusions if all the premises are The extension opens up interesting possibilities based on the symmetry between premises and conclusions, and can also be used to throw fresh light on.

The appearance of Shoesmith and Smiley's Book Multiple-conclusion Logic (Cambridge University Press, ) affords the opportunity of adding yet another item to the list of Peirce 's anticipations of modern logical concepts. A multiple-conclusion argument has a number of conclusions, and these are construed disjunctively just as the premisses.

Graph proofs -- pt. Many-valued logic -- pt. Natural deduction.\/span>\"@ en\/a> ; \u00A0\u00A0\u00A0\n schema:description\/a> \" Multiple-conclusion logic extends formal logic by allowing arguments to have a set of conclusions instead of a single one, the truth lying somewhere among the conclusions if all the premises are true.

The. multiple-conclusion logic Public users are able to search the site and view the abstracts and keywords for each book and chapter without a subscription. Please subscribe or login to access full text content. If you have purchased a print title that contains an access token, please see the token for information about how to register your.

Multiple-conclusion logic also allows for any number of conclusions in an argument, regarding them as setting out the field of possibilities among which the truth must lie if the premises are true.

Such an argument counts as valid if it is impossible for all the premises to be true and all the conclusions false. Syntax; Advanced Search; New. All new items; Books; Journal articles; Manuscripts; Topics. All Categories; Metaphysics and Epistemology.

multiple-conclusion logic, but this is contrary to Gentzen’s own interpretation, and it was Rudolf Carnap who ﬁrst consciously broached the subject in his book Formalization of logic ()” [3] (Sectionthe historical note). Carnap’s motivation for introducing multiple-conclusion rules was as follows: if we want toAuthor: Alex Citkin.

Multiple-conclusion logic extends formal logic by allowing arguments to have a set of conclusions instead of a single one, the truth lying somewhere among the conclusions if all the premises are true. The extension opens up interesting possibilities based on the symmetry between premises and conclusions, and can also be used to throw fresh.

the multiple-conclusion system are used to show that the usual single- conclusion system for the standard ﬁrst-order G¨ odel logic also admits (strong) cut-admissibility. PDF | A necessary and sufficient condition for a multiple-conclusion consequence relation to be Post complete is given.

| Find, read and cite all the research you need on ResearchGateAuthor: Tomasz Skura. This article is within the scope of WikiProject Philosophy, a collaborative effort to improve the coverage of content related to philosophy on Wikipedia.

If you would like to support the project, please visit the project page, where you can get more details on how you can help, and where you can join the general discussion about philosophy content on Wikipedia.

Brief Description. This is a sustained study of the subject and is certain to stimulate further research. Learn More about the Book. Multiple-conclusion logic extends formal logic by allowing arguments to have a set of conclusions instead of a single one, the truth lying somewhere among the conclusions if all the premises are true.

Eades, H & de Paiva, VMultiple conclusion linear logic: Cut elimination and more. in A Nerode & S Artemov (eds), Logical Foundations of Computer Science - International Symposium, LFCSProceedings.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol.Springer Verlag, pp. Cited by: 4. - Multiple-Conclusion Logic D. Shoesmith and T. Smiley Excerpt More information.

Title: Author: Administrator Created Date. Using the defined notion of the inference with multiply-conclusion rules, we show that in the logics enjoying the disjunction property, any derivable rule can be inferred from the single-conclusion rules and a single multiple-conclusion rule, which represents the disjunction property.

Also, the conversion algorithm of single- and multiple-conclusion deductive systems into each other is : Alex Citkin. Perhaps a reason, besides convention, to prefer a single-conclusion logic is that it may be easier to check an argument with one conclusion. Wikipedia also provides two examples of multiple-conclusion logics: Gerhard Gentzen's sequent calculus.

Shoesmith and Timothy Smiley's Multiple-conclusion logic, Cambridge, Abstract. We prove that for the intermediate logics with the disjunction property any basis of admissible rules can be reduced to a basis of admissible m-rules (multiple-conclusion rules), and every basis of admissible m-rules can be reduced to a basis of admissible : Alex Citkin.

Abstract. Full Intuitionistic Linear Logic (FILL) was first introduced by Hyland and de Paiva, and went against current beliefs that it was not possible to incorporate all of the linear connectives, e.g.

tensor, par, and implication, into an intuitionistic linear by: 4. Timothy Smiley has made ground-breaking contributions to modal logic, free logic, multiple-conclusion logic, and plural logic. He has illuminated Aristotle’s syllogistic, the ideas of logical form and consequence, and the distinction between assertion and rejection, and has.

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Multiple-Conclusion Logic. D. J. Shoesmith. 11 Jan Paperback. US$ Add to basket. Multiple-Conclusion Logic. T. J. Smiley. 06 Jul Hardback.intuitionistic logic.

Addition of tertium non datur (TND) or re-duction ad absurdum (RAA) yields deduction calculus for classical logic. Kneale in [2] proposes multiple conclusion deductions as an el-egant and symmetrical version of deduction calculus that provides a good t .