Abstract In this paper, we offer a descriptive theory of analogical reasoning in mathematics, stating general conditions under which an analogy may provide genuine inductive support to mathematical conjecture (over and above fulfilling the merely heuristic role ‘suggesting’ psychological sense). The proposed generalize criteria Hesse her influential work on empirical sciences. By reference seve...

This article discusses the use of analogy to index and organize large databases of information We describe the design and implementation of an analogical database supporting tens to hundreds of thousands of cases The contents of the database are parsed news articles represented as networks of grammatical relations with references into WordNet for word meaning information The virtue of this appr...

Analogical mapping is a core process in human cognition. A number of valuable computational models of analogy have been created, capturing aspects of how people compare representations, retrieve potential analogs from memory, and learn from the results. In the past 25 years, this area has progressed rapidly, fueled by strong collaboration between psychologists and Artificial Intelligence (AI) s...

Analogical modeling (AM) is a memory based model with a documented performance comparable to other types of memory based learning. Known algorithms implementing AM have a computationally complexity of O(2). We formulate a representation theorem on analogical modeling which is used for implementing a range of approximations to AM with a complexity starting as low as O(n).