Combining Philosophers

All the ideas for Anon (Lev), Sidney Morgenbesser and Paul Bernays

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5 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
10304 Very few things in set theory remain valid in intuitionist mathematics [Bernays]
     Full Idea: Very few things in set theory remain valid in intuitionist mathematics.
     From: Paul Bernays (On Platonism in Mathematics [1934])
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10303 Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
     Full Idea: A restricted Platonism does not claim to be more than, so to speak, an ideal projection of a domain of thought.
     From: Paul Bernays (On Platonism in Mathematics [1934], p.261)
     A reaction: I have always found Platonism to be congenial when it talks of 'ideals', and ridiculous when it talks of a special form of 'existence'. Ideals only 'exist' because we idealise things. I may declare myself, after all, to be a Restricted Platonist.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
10306 Mathematical abstraction just goes in a different direction from logic [Bernays]
     Full Idea: Mathematical abstraction does not have a lesser degree than logical abstraction, but rather another direction.
     From: Paul Bernays (On Platonism in Mathematics [1934], p.268)
     A reaction: His point is that the logicists seem to think that if you increasingly abstract from mathematics, you end up with pure logic.
22. Metaethics / B. Value / 2. Values / g. Love
19941 Thou shalt love thy neighbour as thyself [Anon (Leviticus)]
     Full Idea: Thou shalt love thy neighbour as thyself.
     From: Anon (Lev) (03: Book of Leviticus [c.700 BCE], 19.18)
     A reaction: Most Christians think Jesus originated this thought. Interestingly, this precedes Socrates, who taught a similar idea.
25. Social Practice / D. Justice / 1. Basis of justice
21229 If everyone is treated with equal injustice, at least that is fair [Morgenbesser]
     Full Idea: When the police hit me over the head at the demonstration, it was unjust but at least it was fair, because they hit everybody else over the head.
     From: Sidney Morgenbesser (talk [1970]), quoted by PG - Db (ideas)
     A reaction: An example of Morganbesser's famous wit, but this is the perfect and simplest riposte to Rawls's claim that justice is fairness. Horrific injustices can be distributed fairly, and often are, in prisons, schools, families and armies.