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All the ideas for 'fragments/reports', 'Modal Logics and Philosophy' and 'Beauty: a very short introduction'

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27 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
2. Reason / A. Nature of Reason / 7. Status of Reason
Do aesthetic reasons count as reasons, if they are rejectable without contradiction? [Scruton]
3. Truth / A. Truth Problems / 2. Defining Truth
Defining truth presupposes that there can be a true definition [Scruton]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Propositional logic handles negation, disjunction, conjunction; predicate logic adds quantifiers, predicates, relations [Girle]
There are three axiom schemas for propositional logic [Girle]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / a. Symbols of PL
Proposition logic has definitions for its three operators: or, and, and identical [Girle]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
Axiom systems of logic contain axioms, inference rules, and definitions of proof and theorems [Girle]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
There are seven modalities in S4, each with its negation [Girle]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
◊p → □◊p is the hallmark of S5 [Girle]
S5 has just six modalities, and all strings can be reduced to those [Girle]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
Possible worlds logics use true-in-a-world rather than true [Girle]
Modal logic has four basic modal negation equivalences [Girle]
Modal logics were studied in terms of axioms, but now possible worlds semantics is added [Girle]
5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
Necessary implication is called 'strict implication'; if successful, it is called 'entailment' [Girle]
5. Theory of Logic / H. Proof Systems / 5. Tableau Proof
If an argument is invalid, a truth tree will indicate a counter-example [Girle]
10. Modality / A. Necessity / 3. Types of Necessity
Analytic truths are divided into logically and conceptually necessary [Girle]
10. Modality / B. Possibility / 1. Possibility
Possibilities can be logical, theoretical, physical, economic or human [Girle]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A world has 'access' to a world it generates, which is important in possible worlds semantics [Girle]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
The pleasure taken in beauty also aims at understanding and valuing [Scruton]
Art gives us imaginary worlds which we can view impartially [Scruton]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
Maybe 'beauty' is too loaded, and we should talk of fittingness or harmony [Scruton]
Beauty shows us what we should want in order to achieve human fulfilment [Scruton]
Beauty is rationally founded, inviting meaning, comparison and self-reflection [Scruton]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Natural beauty reassures us that the world is where we belong [Scruton]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Croce says art makes inarticulate intuitions conscious; rival views say the audience is the main concern [Scruton]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Beauty (unlike truth and goodness) is questionable as an ultimate value [Scruton]
25. Social Practice / F. Life Issues / 5. Sexual Morality
Prostitution is wrong because it hardens the soul, since soul and body are one [Scruton]