Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Carlo Rovelli and Michael Walzer

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52 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
For intuitionists excluded middle is an outdated historical convention [Brouwer]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
Zeno assumes collecting an infinity of things makes an infinite thing [Rovelli]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
Scientific laws largely rest on the results of counting and measuring [Brouwer]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
7. Existence / B. Change in Existence / 2. Processes
Quantum mechanics deals with processes, rather than with things [Rovelli]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
Quantum mechanics describes the world entirely as events [Rovelli]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
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]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
You can't distribute goods from behind a veil, because their social meaning is unclear [Walzer, by Tuckness/Wolf]
25. Social Practice / B. Equalities / 2. Political equality
Complex equality restricts equalities from spilling over, like money influencing politics and law [Walzer, by Tuckness/Wolf]
25. Social Practice / B. Equalities / 4. Economic equality
Equality is complex, with different spheres of equality where different principles apply [Walzer, by Swift]
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
Just wars are self-defence, or a rightful intercession in another's troubles [Walzer]
Nuclear bombs are not for normal war; they undermine the 'just war', with a new morality [Walzer]
The aim of reprisals is to enforce the rules of war [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]
States can rightly pre-empt real and serious threats [Walzer]
Reprisal is defensible, as an alternative to war [Walzer]
States need not endure attacks passively, and successful reprisals are legitimate [Walzer]
With nuclear weapons we have a permanent supreme emergency (which is unstable) [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
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]
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]
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]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
There are probably no infinities, and 'infinite' names what we do not yet know [Rovelli]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
The basic ideas of fields and particles are merged in quantum mechanics [Rovelli]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
Because it is quantised, a field behaves like a set of packets of energy [Rovelli]
There are about fifteen particles fields, plus a few force fields [Rovelli]
The world consists of quantum fields, with elementary events happening in spacetime [Rovelli]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / c. Electrons
Electrons only exist when they interact, and their being is their combination of quantum leaps [Rovelli]
Electrons are not waves, because their collisions are at a point, and not spread out [Rovelli]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
Quantum Theory describes events and possible interactions - not how things are [Rovelli]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
Nature has three aspects: granularity, indeterminacy, and relations [Rovelli]
27. Natural Reality / C. Space / 4. Substantival Space
The world is just particles plus fields; space is the gravitational field [Rovelli]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
Only heat distinguishes past from future [Rovelli]