Combining Texts

All the ideas for 'Necessary Existents', 'Killing in War' and 'First-order Logic, 2nd-order, Completeness'

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34 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg]
Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
There are at least seven possible systems of semantics for second-order logic [Rossberg]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence is intuitively semantic, and captured by model theory [Rossberg]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
In proof-theory, logical form is shown by the logical constants [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Completeness can always be achieved by cunning model-design [Rossberg]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
A deductive system is only incomplete with respect to a formal semantics [Rossberg]
19. Language / D. Propositions / 3. Concrete Propositions
Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Legal excuses are duress, ignorance, and diminished responsibility [McMahan]
25. Social Practice / C. Rights / 1. Basis of Rights
Liberty Rights are permissions, and Claim Rights are freedom from intervention [McMahan]
25. Social Practice / E. Policies / 1. War / a. Just wars
The worst unjustified wars have no aim at all [McMahan]
A defensive war is unjust, if it is responding to a just war [McMahan]
A person or state may be attacked if they are responsible for an unjustified threat [McMahan]
You (e.g. a police officer) are not liable to attack just because you pose a threat [McMahan]
Wars can be unjust, despite a just cause, if they are unnecessary or excessive or of mixed cause [McMahan]
Just war theory says all and only persons posing a threat are liable to attack [McMahan]
25. Social Practice / E. Policies / 1. War / b. Justice in war
Proportionality in fighting can't be judged independently of the justice of each side [McMahan]
Can an army start an unjust war, and then fight justly to defend their own civilians? [McMahan]
Soldiers cannot freely fight in unjust wars, just because they behave well when fighting [McMahan]
The law of war differs from criminal law; attacking just combatants is immoral, but legal [McMahan]
If the unjust combatants are morally excused they are innocent, so how can they be killed? [McMahan]
25. Social Practice / E. Policies / 1. War / c. Combatants
You don't become a legitimate target, just because you violently resist an unjust attack [McMahan]
If all combatants are seen as morally equal, that facilitates starting unjust wars [McMahan]
Volunteer soldiers accept the risk of attack, but they don't agree to it, or to their deaths [McMahan]
If being part of a big collective relieves soldiers of moral responsibility, why not the leaders too? [McMahan]
If soldiers can't refuse to fight in unjust wars, can they choose to fight in just wars? [McMahan]
Equality is both sides have permission, or both sides are justified, or one justified the other permitted [McMahan]
Fighting unjustly under duress does not justify it, or permit it, but it may excuse it [McMahan]
Soldiers cannot know enough facts to evaluate the justice of their war [McMahan]
25. Social Practice / E. Policies / 1. War / d. Non-combatants
Innocence implies not being morally responsible, rather than merely being guiltless [McMahan]
25. Social Practice / E. Policies / 1. War / e. Peace
Unconditional surrender can't be demanded, since evil losers still have legitimate conditions [McMahan]