By Peter A. Flach, Antonis C. Kakas (auth.), Peter A. Flach, Antonis C. Kakas (eds.)
From the very starting in their research of human reasoning, philosophers have pointed out other kinds of reasoning, along with deduction, which we now name abduction and induction. Deduction is now particularly good understood, yet abduction and induction have eluded an identical point of knowing. The papers accrued the following handle the connection among abduction and induction and their attainable integration. The technique is typically philosophical, occasionally that of natural common sense, and a few papers undertake the extra task-oriented technique of AI.
The publication will command the eye of philosophers, logicians, AI researchers and laptop scientists in general.
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Additional resources for Abduction and Induction: Essays on their Relation and Integration
5), B is 'these beans are from this bag' (instance knowledge), 0 is 'these beans are white' (observation), and H- 'all the beans from this bag are white' - is satisfied by the model containing 'these beans' as the only beans in the universe. Under the assumption that the population is similar to the sample, we achieve generalisation by restricting attention to formulae true in the sample. Note that the induced hypothesis is not restricted to one explaining the whiteness of these beans: we might equally well have induced that 'all white beans are from this bag'.
It reflects the relative comprehensiveness of knowledge of the problem domain contained in T. The abducible predicates and the allowed abductive formulae take the role of 'answer-holders' for the problem goals that we want to set to our theory. In this respect they take the place of the logical variable as the answer-holder when deductive reasoning is used for problem solving. As a result this means that the form of the abductive hypothesis depends heavily on the particular theory T at hand, and the way that we have chosen to represent in this our problem domain.
The inductive extensions 'induce' a more general change (from the point of view of the observables) on the existing theory T, and- as we will see below- this will allow induction to genuinely generalise the given observations to other cases not derivable from the original theory T . The generalising effect of abduction, if at all present, is much more limited. The selected abductive hypothesis!!.. ) further information on abducible or other predicates, as in the measles example from the previous section.
Abduction and Induction: Essays on their Relation and Integration by Peter A. Flach, Antonis C. Kakas (auth.), Peter A. Flach, Antonis C. Kakas (eds.)