Combining Texts

All the ideas for 'No Understanding without Explanation', 'Some Puzzles of Ground' and 'The Development of Logic'

expand these ideas     |    start again     |     specify just one area for these texts


6 ideas

4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Strong Kleene disjunction just needs one true disjunct; Weak needs the other to have some value [Fine,K]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
Formal grounding needs transitivity of grounding, no self-grounding, and the existence of both parties [Fine,K]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Scientific understanding is always the grasping of a correct explanation [Strevens]
We may 'understand that' the cat is on the mat, but not at all 'understand why' it is there [Strevens]
Understanding is a precondition, comes in degrees, is active, and holistic - unlike explanation [Strevens]