Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, St Mark and Jeff McMahan

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34 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For intuitionists excluded middle is an outdated historical convention [Brouwer]
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
Scientific laws largely rest on the results of counting and measuring [Brouwer]
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
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]
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
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]
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
False prophets will perform wonders to deceive even the elect [Mark]