Non-classical Logic
published: April 1, 2009, recorded: February 2009, views: 11370
Related content
Report a problem or upload files
If you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
Description
Non-classical logics are used to characterize phenomena with which classical logic has difficulty or to represent alternative views of reasoning. Relevant logic, for example, rejects the rule of classical logic that allows us to add new premises to an already valid inference to produce another valid inference. Relevant logic, as its name suggests, demands that all the premises of a valid argument be actually relevant to the derivation of the conclusion. In contrast, a weaker form of relevant logic – linear logic – is not supposed to represent an alternative view of valid inference, but rather describe relationships between different sorts of entities than classical (or relevant logic). Traditionally, logics are thought to represent relationships between propositions but linear logic represents relationships between resources and actions. The resulting logic is quite different from traditional logics and is interestingly related to the other logics that we will study such as relevant logic. A variant of linear logic, that we will also examine, is used to study the flow of information between agents.
Link this page
Would you like to put a link to this lecture on your homepage?Go ahead! Copy the HTML snippet !
Write your own review or comment: