Combining Texts

All the ideas for 'fragments/reports', 'Just and Unjust Wars' and 'Must We Believe in Set Theory?'

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37 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
The logic of ZF is classical first-order predicate logic with identity [Boolos]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Mathematics and science do not require very high orders of infinity [Boolos]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
8. Modes of Existence / D. Universals / 1. Universals
It is lunacy to think we only see ink-marks, and not word-types [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
I am a fan of abstract objects, and confident of their existence [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
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
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]
Nuclear bombs are not for normal war; they undermine the 'just war', with a new morality [Walzer]
Even non-violent intrusive acts between states count as aggression, if they justify resistance [Walzer]
The only good reason for fighting is in defence of rights [Walzer]
25. Social Practice / E. Policies / 1. War / b. Justice in war
For moral reasons, a just war must be a limited war [Walzer]
Napoleon said 'I don't care about the deaths of a million men' [Walzer]
Jus ad bellum and Jus in bello are independent; unjust wars can be fought in a just way [Walzer]
25. Social Practice / E. Policies / 1. War / c. Combatants
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]
Even aggressor soldiers are not criminals, so they have equal rights with their opponents [Walzer]
25. Social Practice / E. Policies / 1. War / d. Non-combatants
Soldiers will only protect civilians if they feel safe from them [Walzer]
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]
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]
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]