Combining Texts

All the ideas for 'fragments/reports', 'An Introduction to Modal Logic' and 'Elusive Knowledge'

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10 ideas

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / b. Terminology of PL

9540	A 'value-assignment' (V) is when to each variable in the set V assigns either the value 1 or the value 0 [Hughes/Cresswell]

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL

9541	The Law of Transposition says (P→Q) → (¬Q→¬P) [Hughes/Cresswell]

4. Formal Logic / B. Propositional Logic PL / 4. Soundness of PL

9543	The rules preserve validity from the axioms, so no thesis negates any other thesis [Hughes/Cresswell]

5. Theory of Logic / K. Features of Logics / 4. Completeness

9544	A system is 'weakly' complete if all wffs are derivable, and 'strongly' if theses are maximised [Hughes/Cresswell]

11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs

12899

The timid student has knowledge without belief, lacking confidence in their correct answer [Lewis]

11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism

12897

To say S knows P, but cannot eliminate not-P, sounds like a contradiction [Lewis]

13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification

12898

Justification is neither sufficient nor necessary for knowledge [Lewis]

13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism

12895

Knowing is context-sensitive because the domain of quantification varies [Lewis, by Cohen,S]

19562

We have knowledge if alternatives are eliminated, but appropriate alternatives depend on context [Lewis, by Cohen,S]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]