Combining Texts

All the ideas for 'Function and Concept', 'Completeness of Axioms of Logic' and 'Just and Unjust Wars'

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39 ideas

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt]
4. Formal Logic / C. Predicate Calculus PC / 3. Completeness of PC
Gödel proved the completeness of first order predicate logic in 1930 [Gödel, by Walicki]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations are functions with two arguments [Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Frege takes the existence of horses to be part of their concept [Frege, by Sommers]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege]
9. Objects / A. Existence of Objects / 3. Objects in Thought
The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman]
An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale]
A concept is a function whose value is always a truth-value [Frege]
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman]
19. Language / B. Reference / 5. Speaker's Reference
I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Criminal responsibility can be fully assigned to each member of a group [Walzer]
20. Action / C. Motives for Action / 5. Action Dilemmas / b. Double Effect
Double Effect needs a double intention - to achieve the good, and minimise the evil [Walzer]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Deep ethical theory is very controversial, but we have to live with higher ethical practice [Walzer]
25. Social Practice / C. Rights / 1. Basis of Rights
If whole states possess rights, there can be social relations between states [Walzer]
25. Social Practice / E. Policies / 1. War / a. Just wars
The only good reason for fighting is in defence of rights [Walzer]
Even non-violent intrusive acts between states count as aggression, if they justify resistance [Walzer]
Nuclear bombs are not for normal war; they undermine the 'just war', with a new morality [Walzer]
States can rightly pre-empt real and serious threats [Walzer]
Just wars are self-defence, or a rightful intercession in another's troubles [Walzer]
The aim of reprisals is to enforce the rules of war [Walzer]
Reprisal is defensible, as an alternative to war [Walzer]
With nuclear weapons we have a permanent supreme emergency (which is unstable) [Walzer]
States need not endure attacks passively, and successful reprisals are legitimate [Walzer]
25. Social Practice / E. Policies / 1. War / b. Justice in war
Jus ad bellum and Jus in bello are independent; unjust wars can be fought in a just way [Walzer]
Napoleon said 'I don't care about the deaths of a million men' [Walzer]
For moral reasons, a just war must be a limited war [Walzer]
25. Social Practice / E. Policies / 1. War / c. Combatants
Even aggressor soldiers are not criminals, so they have equal rights with their opponents [Walzer]
The duties and moral status of loyal and obedient soldiers is the same in defence and aggression [Walzer]
We can't blame soldiers for anything they do which clearly promotes victory [Walzer]
Rejecting Combatant Equality allows just soldiers to be harsher, even to the extreme [Walzer]
Kidnapped sailors and volunteers have different obligations to the passengers [Walzer]
25. Social Practice / E. Policies / 1. War / d. Non-combatants
What matters in war is unacceptable targets, not unacceptable weapons [Walzer]
If the oppressor is cruel, nonviolence is either surrender, or a mere gesture [Walzer]
Soldiers will only protect civilians if they feel safe from them [Walzer]
25. Social Practice / E. Policies / 1. War / e. Peace
We can only lead war towards peace if we firmly enforce the rules of war [Walzer]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The Ontological Argument fallaciously treats existence as a first-level concept [Frege]