Pitts J Brian
University of Cambridge, Cambridge, UK.
University of Lincoln, Lincoln, UK.
J Gen Philos Sci. 2023;54(3):393-419. doi: 10.1007/s10838-022-09620-7. Epub 2023 Feb 22.
According to the Feigl-Reichenbach-Salmon-Schurz pragmatic justification of induction, no predictive method is guaranteed or even likely to work for predicting the future; but if anything will work, induction will work-at least when induction is employed at the meta-level of predictive methods in light of their track records. One entertains a priori all manner of esoteric prediction methods, and is said to arrive a posteriori at the conclusion, based on the actual past, that object-level induction is optimal. Schurz's refinements largely solve the notorious short-run problem. A difficulty is noted, however, related to short-run worries but based on localized disagreement about the past, a feature characteristic of real debates (especially early modern) involving induction in intellectual history. Given the evidence about past events, , meta-induction might support a partly non-inductive method-especially as judged by proponents of esoteric prediction methods, who presumably believe that their methods have worked. Thus induction is justified meta-inductively in contexts where it was uncontroversial, while not obviously justified in key contexts where it has been disputed. This objection, momentarily sensed by Reichenbach regarding clairvoyance, is borne out by the Stoics' use of meta-induction to justify both science and divination and by ancient Hebrew examples of meta-induction. Schurz's recently introduced criteria for acceptance of testimony play a crucial role in arriving at object-level induction using meta-induction, but one might question them. Given the need for judgment in accepting testimony, it is unclear that the subjectivity of Howson's Bayesian answer to Hume's problem is overcome.
根据费格尔 - 赖兴巴赫 - 萨尔蒙 - 舒尔茨对归纳法的实用主义辩护,没有任何预测方法能保证甚至有可能用于预测未来;但如果有什么方法能行得通,那归纳法就行得通——至少当归纳法根据预测方法的过往记录在元层面上被运用时是这样。人们先验地考虑各种神秘的预测方法,据说基于实际的过去后验地得出结论,即对象层面的归纳法是最优的。舒尔茨的改进在很大程度上解决了臭名昭著的短期问题。然而,有人指出了一个困难,它与短期担忧有关,但基于对过去的局部分歧,这是知识史上涉及归纳法的真实辩论(尤其是早期现代辩论)的一个特征。鉴于关于过去事件的证据,元归纳法可能支持一种部分非归纳的方法——尤其是按照神秘预测方法的支持者的判断,他们大概相信自己的方法是有效的。因此,归纳法在没有争议的情况下通过元归纳法得到辩护,而在存在争议的关键情况下却没有明显的辩护。这种反对意见,赖兴巴赫在谈到千里眼时曾短暂感觉到,斯多葛派用元归纳法为科学和占卜辩护以及古代希伯来元归纳法的例子都证实了这一点。舒尔茨最近引入的接受证词的标准在通过元归纳法得出对象层面的归纳法时起着关键作用,但人们可能会对此提出质疑。鉴于在接受证词时需要判断,豪森对休谟问题的贝叶斯式回答的主观性是否被克服尚不清楚。