display all the ideas for this combination of philosophers
2 ideas
18122 | 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) |
13846 | 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) |