Mathematical Explanation beyond Explanatory Proof
نویسندگان
چکیده
منابع مشابه
Lakatos and Hersh on Mathematical Proof
مفهوم اثبات در چند دهۀ اخیر مناقشهآمیز شده است. به طوری که افراد نظریههای مختلفی دربارۀ چیستی اثبات ارائه دادهاند. لاکاتوش و هرش از جملۀ این افراد هستند. نظریههای این دو فیلسوف شباهتها و اختلافات قابل توجهی دارند. به نظر میرسد که با مقایسه و بررسی نقادانۀ این دو نظریه فهم بهتری از مفهوم اثبات ریاضیاتی به دست خواهد آمد. دو وجه شباهت مهم بین این دو نظریه عبارتند از: دوگانهانگاری در اثبات ...
متن کاملExplanatory Inquiry and the Need for Explanation
Explanatory inquiry characteristically begins with a certain puzzlement about the world. But why do certain situations elicit our puzzlement (or curiosity) while others leave us, in some epistemically relevant sense, cold? Moreover, what exactly is involved in the move from a state of puzzlement to a state where one’s puzzlement is satisfied? In this paper I try to answer both of these question...
متن کاملReductive explanation and the ‘explanatory gap’
Can phenomenal consciousness be given a reductive natural explanation? Exponents of an 'explanatory gap' between physical, functional and intentional facts, on the one hand, and the facts of phenomenal consciousness, on the other, argue that there are reasons of principle why phenomenal consciousness cannot be reductively explained claim that the existence of such a gap would warrant a belief i...
متن کاملProof Explanation and Revision
Proof structures in traditional automatic theorem proving systems are generally designed for efficiently supporting certain search strategies. They are not meant as a useful representation or presentation of complete proofs: usually only the experts who designed such systems can read them. As a result, complete proofs are of little value and are generally discarded. The failure of such systems ...
متن کاملAnalogy, explanation, and proof
People are habitual explanation generators. At its most mundane, our propensity to explain allows us to infer that we should not drink milk that smells sour; at the other extreme, it allows us to establish facts (e.g., theorems in mathematical logic) whose truth was not even known prior to the existence of the explanation (proof). What do the cognitive operations underlying the inference that t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The British Journal for the Philosophy of Science
سال: 2020
ISSN: 0007-0882,1464-3537
DOI: 10.1093/bjps/axy009