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All the ideas for 'The Statesman', 'Universals' and 'Modal Logics and Philosophy'

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48 ideas

1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
Whenever you perceive a community of things, you should also hunt out differences in the group [Plato]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Epistemological Ockham's Razor demands good reasons, but the ontological version says reality is simple [Moreland]
2. Reason / D. Definition / 2. Aims of Definition
To reveal a nature, divide down, and strip away what it has in common with other things [Plato]
No one wants to define 'weaving' just for the sake of weaving [Plato]
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]
7. Existence / D. Theories of Reality / 1. Ontologies
Existence theories must match experience, possibility, logic and knowledge, and not be self-defeating [Moreland]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Tropes are like Hume's 'impressions', conceived as real rather than as ideal [Moreland]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
A colour-trope cannot be simple (as required), because it is spread in space, and so it is complex [Moreland]
In 'four colours were used in the decoration', colours appear to be universals, not tropes [Moreland]
8. Modes of Existence / D. Universals / 1. Universals
One realism is one-over-many, which may be the model/copy view, which has the Third Man problem [Moreland]
Realists see properties as universals, which are single abstract entities which are multiply exemplifiable [Moreland]
If properties are universals, what distinguishes two things which have identical properties? [Moreland]
8. Modes of Existence / D. Universals / 2. Need for Universals
The traditional problem of universals centres on the "One over Many", which is the unity of natural classes [Moreland]
Evidence for universals can be found in language, communication, natural laws, classification and ideals [Moreland]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
The One-In-Many view says universals have abstract existence, but exist in particulars [Moreland]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
How could 'being even', or 'being a father', or a musical interval, exist naturally in space? [Moreland]
Maybe universals are real, if properties themselves have properties, and relate to other properties [Moreland]
A naturalist and realist about universals is forced to say redness can be both moving and stationary [Moreland]
There are spatial facts about red particulars, but not about redness itself [Moreland]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Redness is independent of red things, can do without them, has its own properties, and has identity [Moreland]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Moderate nominalism attempts to embrace the existence of properties while avoiding universals [Moreland]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Unlike Class Nominalism, Resemblance Nominalism can distinguish natural from unnatural classes [Moreland]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
There can be predicates with no property, and there are properties with no predicate [Moreland]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
We should abandon the concept of a property since (unlike sets) their identity conditions are unclear [Moreland]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Most philosophers think that the identity of indiscernibles is false [Moreland]
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]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / b. Recollection doctrine
The soul gets its goodness from god, and its evil from previous existence. [Plato]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Abstractions are formed by the mind when it concentrates on some, but not all, the features of a thing [Moreland]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
It is always open to a philosopher to claim that some entity or other is unanalysable [Moreland]
19. Language / F. Communication / 1. Rhetoric
The question of whether or not to persuade comes before the science of persuasion [Plato]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Non-physical beauty can only be shown clearly by speech [Plato]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
The arts produce good and beautiful things by preserving the mean [Plato]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Democracy is the worst of good constitutions, but the best of bad constitutions [Plato, by Aristotle]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
'Presentism' is the view that only the present moment exists [Moreland]
28. God / A. Divine Nature / 2. Divine Nature
Only divine things can always stay the same, and bodies are not like that [Plato]