Combining Philosophers

All the ideas for Avineri,S/De-Shalit,A, Rod Girle and Daniel M. Mittag

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24 ideas

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]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
We could know the evidence for our belief without knowing why it is such evidence [Mittag]
Evidentialism can't explain that we accept knowledge claims if the evidence is forgotten [Mittag]
Evidentialism concerns the evidence for the proposition, not for someone to believe it [Mittag]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Coherence theories struggle with the role of experience [Mittag]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberalism is minimal government, or individual rights, or equality [Avineri/De-Shalit]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Can individualist theories justify an obligation to fight in a war? [Avineri/De-Shalit]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Autonomy is better achieved within a community [Avineri/De-Shalit]
Communitarians avoid oppression for the common good, by means of small mediating communities [Avineri/De-Shalit]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
If our values are given to us by society then we have no grounds to criticise them [Avineri/De-Shalit]