4 ideas
| 18832 | Mathematical statements and entities that result from an infinite process must lack a truth-value [Dummett] |
| Full Idea: On an intuitionistic view, neither the truth-value of a statement nor any other mathematical entity can be given as the final result of an infinite process, since an infinite process is precisely one that does not have a final result. | |
| From: Michael Dummett (Elements of Intuitionism (2nd ed) [2000], p.41), quoted by Ian Rumfitt - The Boundary Stones of Thought 7.3 | |
| A reaction: This is rather a persuasive reason to sympathise with intuitionism. Mathematical tricks about 'limits' have lured us into believing in completed infinities, but actually that idea is incoherent. |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
| From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
| A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |
| 16006 | Either Abraham rises higher than universal ethics, or he is a mere murderer [Kierkegaard] |
| Full Idea: Either Abraham was a murderer, or we confront a paradox higher than all mediation. His story therefore contains the teleological suspension of the ethical, and he becomes higher than the universal. If not, he is not a tragic hero or the father of faith. | |
| From: Søren Kierkegaard (Fear and Trembling [1843], p.49) | |
| A reaction: A nice dilemma for Christian thinkers who want to reconcile reason and morality with religion. [SY] |
| 7577 | Abraham was willing to suspend ethics, for a higher idea [Kierkegaard] |
| Full Idea: The story of Abraham (and Isaac) contains a teleological suspension of the ethical. ...In his action he overstepped the ethical altogether, and had a higher idea outside it, in relation to which he suspended it. | |
| From: Søren Kierkegaard (Fear and Trembling [1843], Prob I) | |
| A reaction: My immediate response is to find this proposal very sinister. I can't remotely understand what Abraham's (or God's) 'higher' idea could be that could justify this crime. Maybe ethics is suspended if you are on the beach and a tidal wave arrives? |