Combining Philosophers

Ideas for Haskell B. Curry, Lamargue,P/Olson,SH and David Bostock

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2 ideas

4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Classical interdefinitions of logical constants and quantifiers is impossible in intuitionism [Bostock]
     Full Idea: None of the classical ways of defining one logical constant in terms of others is available in intuitionist logic (and this includes the two quantifiers).
     From: David Bostock (Philosophy of Mathematics [2009], 7.2)
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
A 'free' logic can have empty names, and a 'universally free' logic can have empty domains [Bostock]
     Full Idea: A 'free' logic is one in which names are permitted to be empty. A 'universally free' logic is one in which the domain of an interpretation may also be empty.
     From: David Bostock (Intermediate Logic [1997], 8.6)