Ideas from 'Dialogue on human freedom and origin of evil' by Gottfried Leibniz [1695], by Theme Structure

[found in 'Philosophical Essays' by Leibniz,Gottfried (ed/tr Arlew,R /Garber,D) [Hackett 1989,0-87220-062-0]].

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6. Mathematics / A. Nature of Mathematics / 2. Geometry
Circles must be bounded, so cannot be infinite
                        Full Idea: An infinite circle is impossible, since any circle is bounded by its circumference.
                        From: Gottfried Leibniz (Dialogue on human freedom and origin of evil [1695], p.114)
                        A reaction: This is interesting if one is asking what the essence of a circle must be. If is tempting to say merely that the radii must be equal, but can they have the length of some vast transfinite number? The circumference must be 2π bigger.
16. Persons / F. Free Will / 6. Determinism / b. Fate
Sloth's Syllogism: either it can't happen, or it is inevitable without my effort
                        Full Idea: The ancient Sloth's Syllogism says that if something is foreseen and infallible, it will happen without my effort, and if it is not foreseen, it will not happen, even though I am able to do it.
                        From: Gottfried Leibniz (Dialogue on human freedom and origin of evil [1695], p.113)
                        A reaction: Presumable the foreseeing is to be done by the oracle, and not by the slothful person.
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
Evil is a negation of good, which arises from non-being
                        Full Idea: The cause of good is positive, but evil is a defect, that is, a privation or negation, and consequently, it arises from nothingness or nonbeing.
                        From: Gottfried Leibniz (Dialogue on human freedom and origin of evil [1695], p.114)
                        A reaction: He goes on to illustrate his idea from mathematics. He is modifying Augustine's view that evil is an absence of good, by adding nonbeing as the driving force behind it. Doesn't sound very persuasive to me.
God only made sin possible because a much greater good can be derived from it
                        Full Idea: We must believe that God would not have allowed sin nor would he have created things he knows will sin, if he could not derive from them a good incomparably greater than the resulting evil.
                        From: Gottfried Leibniz (Dialogue on human freedom and origin of evil [1695], p.115)
                        A reaction: Why 'must' we believe this? Do we have to imagine all the genocides shrinking to insignificance once we grasp the wonderful goods that can be derived from them? The end justifies the means. Genocide is actually a good thing. Hm.