imperative logic
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Author(s):  
Mitchell Green

Imperatives lie at the heart of both practical and moral reasoning, yet they have been overshadowed by propositions and relegated by many philosophers to the status of exclamations. One reason for this is that a sentence’s having literal meaning seems to require its having truth-conditions and ‘Keep your promises!’ appears to lack such conditions, just as ‘Ouch!’ does. One reductionist attempt to develop a logic of imperatives translates them into declaratives and construes inferential relations among the former in terms of inferential relations among the latter. Since no such reduction seems fully to capture the meaning of imperatives, others have expanded our notion of inference to include not just truth – but also satisfaction – preservation, according to which an imperative is satisfied just in case what it enjoins is brought about. A logic capturing what is distinctive about imperatives may shed light on the question whether an ‘ought’ is derivable from an ‘is’; and may elucidate the claim that morality is, or comprises, a system of hypothetical imperatives. Furthermore, instructions, which are often formulated as imperatives (‘Take two tablets on an empty stomach!’), are crucial to the construction of plans of action. A proper understanding of imperatives and their inferential properties may thus also illuminate practical reasoning.


2017 ◽  
pp. 354-384
Author(s):  
Harry J. Gensler
Keyword(s):  

2016 ◽  
Vol 59 (1) ◽  
pp. 26-41
Author(s):  
Katarina Maksimovic

In this paper I criticise the dogma that asserting and naming are the most important language uses in the language of mathematics. I present the later Wittgenstein and the intuitionists as the most eminent challengers of the dogma showing that both have to offer valuable arguments against it. Inspired by Kolmorov?s interpretation of intuitionistic logic I examine the connection between intuitionistic logic and imperative logic. Along the way I offer a solution to J?rgensen?s Dilemma rejecting another dogma, the dogma based on the belief that there could not be a deduction in which premises and conclusion are something other than propositions.


Mind ◽  
2011 ◽  
Vol 120 (478) ◽  
pp. 369-446 ◽  
Author(s):  
P. B. M. Vranas

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