Combining Texts

All the ideas for 'fragments/reports', 'Killing in War' and 'Plurals and Complexes'

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46 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is a non-logical principle of set-theory [Hossack]
The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Extensional mereology needs two definitions and two axioms [Hossack]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plural reference will refer to complex facts without postulating complex things [Hossack]
A plural comprehension principle says there are some things one of which meets some condition [Hossack]
Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
The theory of the transfinite needs the ordinal numbers [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
I take the real numbers to be just lengths [Hossack]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
Set theory is the science of infinity [Hossack]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We are committed to a 'group' of children, if they are sitting in a circle [Hossack]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Complex particulars are either masses, or composites, or sets [Hossack]
The relation of composition is indispensable to the part-whole relation for individuals [Hossack]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack]
The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack]
18. Thought / A. Modes of Thought / 1. Thought
A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack]
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]
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]
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]
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
If all combatants are seen as morally equal, that facilitates starting unjust wars [McMahan]
You don't become a legitimate target, just because you violently resist an unjust attack [McMahan]
Volunteer soldiers accept the risk of attack, but they don't agree to it, or to their deaths [McMahan]
Soldiers cannot know enough facts to evaluate the justice of their war [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]
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]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / C. Space / 2. Space
We could ignore space, and just talk of the shape of matter [Hossack]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]