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Download If P, Then Q: Conditionals and the Foundations of Reasoning by David Sanford PDF

By David Sanford

During this informative account, David Sanford lines the background of theories of conditional sentences from the Stoics to the current and units out a brand new idea of his personal. This ebook will be of curiosity to academics and scholars of philosophical common sense.

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Extra info for If P, Then Q: Conditionals and the Foundations of Reasoning

Example text

21 q:::J (p :::J q) ~p:::J (p :::J q) ,~, (tilde) is one of the common symbols for negation. '~p' is read 'not-p'. ':::J' (horseshoe), the first special symbol for a conditional connective to appear in this book, will be used for truth-functional conditionals from now on. Both ':::J' and ' __ ' are in common use for this purpose. An advantage of ':::J' is that it has no other use. Whitehead and Russell took this symbol from Giuseppe Peano (1858-1932) whose work on the logical foundations of arithmetic they followed.

About the suitability of material conditionals for representing conditionals in ordinary language, on the other hand, controversies have raged. A few philosophers maintain that ~ is a good representation of the ordinary if. The two best known defenders of this view have very different grounds. J. A. Faris published a brief, tightly organized, argument that corresponding propositions of the forms if p then q and p ~ q are interderivable. 13 In lectures and 58 Rediscovery of the Material Conditional publications, H.

When the material conditional is combined with the notion of a tautology, there is no doubt that it plays a useful role in formal logic. The success of Frege's programme for propositionallogic is uncontroversial. About the suitability of material conditionals for representing conditionals in ordinary language, on the other hand, controversies have raged. A few philosophers maintain that ~ is a good representation of the ordinary if. The two best known defenders of this view have very different grounds.

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