Combining Texts

All the ideas for 'fragments/reports', 'Modal Logics and Philosophy' and 'reports'

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41 ideas

2. Reason / A. Nature of Reason / 7. Status of Reason
Reason is a more powerful persuader than gold [Democritus (attr)]
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 / 4. Beauty
Beauty is merely animal without intelligence [Democritus (attr)]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Behave well when alone, and feel shame in you own eyes [Democritus (attr)]
22. Metaethics / B. Value / 2. Values / d. Health
Good breeding in men means having a good character [Democritus (attr)]
22. Metaethics / B. Value / 2. Values / g. Love
Virtuous love consists of decorous desire for the beautiful [Democritus (attr)]
22. Metaethics / C. The Good / 3. Pleasure / b. Types of pleasure
We should only choose pleasures which are concerned with the beautiful [Democritus (attr)]
Good and true are the same for everyone, but pleasures differ [Democritus (attr)]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
Only accept beneficial pleasures [Democritus (attr)]
22. Metaethics / C. The Good / 3. Pleasure / d. Sources of pleasure
The great pleasures come from the contemplation of noble works [Democritus (attr)]
Moderation brings more pleasures, and so increases pleasure [Democritus (attr)]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Immoderate desire is the mark of a child, not an adult [Democritus (attr)]
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
It is as brave to master pleasure as to overcome the enemy [Democritus (attr)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
Virtue doesn't just avoid evil, but also doesn't desire it [Democritus (attr)]
A bad life is just a drawn-out death [Democritus (attr)]
Be virtuous from duty, not from fear [Democritus (attr)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Repentance of shameful deeds is salvation [Democritus (attr)]
Virtue comes more from practice than from nature [Democritus (attr)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / i. Absolute virtues
One must avoid even speaking of evil deeds [Democritus (attr)]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
The wrongdoer is more unfortunate than the person wronged [Democritus (attr)]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
The endless desire for money is a crueller slavery than poverty [Democritus (attr)]
Small appetite makes poverty equal to wealth [Democritus (attr)]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
It is better to have one intelligent friend than many unintelligent [Democritus (attr)]
23. Ethics / D. Deontological Ethics / 2. Duty
It is a great thing, when one is in adversity, to think of duty [Democritus (attr)]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
It is better to be poor in a democracy than be rich without freedom [Democritus (attr)]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]