Does Meta-induction Justify Induction: Or Maybe Something Else?

J Brian Pitts
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Abstract

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, unfiltered by induction, 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.

元归纳法是否证明了归纳法的合理性:或者其他什么?
根据Feigl Reichenbach Salmon Schurz归纳法的语用论证,没有任何预测方法可以保证甚至可能用于预测未来;但如果有什么效果的话,归纳法至少会在预测方法的元级别上根据其过往记录进行归纳时起作用。一个人先验地接受各种深奥的预测方法,据说根据过去的实际情况,后验地得出结论,即对象级别的归纳是最优的。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,一个困难与短期担忧有关,但基于对过去的局部分歧,这是涉及知识史归纳的真实辩论(尤其是现代早期)的特征。鉴于有关过去事件的证据,未经归纳过滤,元归纳法可能支持部分非归纳法,尤其是根据深奥预测方法的支持者的判断,他们可能相信他们的方法已经奏效。因此,归纳法在没有争议的情况下是元归纳法,而在有争议的关键情况下则不明显。Reichenbach暂时感觉到了这种反对千里眼的观点,斯多葛学派使用元归纳法来证明科学和占卜的合理性,以及古希伯来文中元归纳法的例子都证明了这一点。舒尔茨最近提出的接受证词的标准在使用元归纳法进行对象层面的归纳方面发挥了至关重要的作用,但人们可能会对此提出质疑。鉴于在接受证词时需要判断,尚不清楚豪森对休谟问题的贝叶斯回答是否克服了主观性。
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