Formal LogicCambridge University Press, 21 de ago. de 2014 - 358 páginas 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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Outras edições - Ver todos
Formal Logic: Or, The Calculus of Inference, Necessary and Probable Augustus De Morgan Visualização completa - 1847 |
Formal Logic: Or, The Calculus of Inference, Necessary and Probable Augustus De Morgan Visualização completa - 1847 |
Formal Logic: Or, The Calculus of Inference, Necessary and Probable Augustus De Morgan Visualização completa - 1847 |
Termos e frases comuns
admit affirmative againſt alſo alteration animal anſwer appears applied argument aſſertion ball belief called caſe chapter common complex concluſion conſequence conſidered contained contrary deny different diſtinction eight equally example exiſt fallacy falſe figure firſt four give given greater Hamilton happen idea identical inference inſtance itſelf knowledge language laſt laws leaſt leſs letters logic manner matter meaning middle term mind mode moſt muſt neceſſary negative never notion object particular perſon poſſible preceding predicate premiſes principle probability produce propoſition prove quantity queſtion reader reaſon reference relation reſult rule ſaid ſame ſay ſecond ſee ſenſe ſhall ſhould ſhow ſimple ſome ſpeak ſpecies ſtate ſubject ſuch ſuppoſe ſyllogiſm ſyſtem teſtimony theſe thing third thoſe thought tion true truth univerſal uſe uſually whole write