Conjecturing via reconceived classical analogy
نویسندگان
چکیده
منابع مشابه
A Classical Analogy of Entanglement
A classical analogy of quantum mechanical entanglement is presented, using classical light beams. The analogy can be pushed a long way, only to reach its limits when we try to represent multiparticle, or nonlocal, entanglement . This demonstrates that the latter is of exclusive quantum nature . On the other hand, the entanglement of different degrees of freedom of the same particle might be con...
متن کاملReasoning by Analogy via Abstraction Reasoning by Analogy via Abstraction
theoremsnametheoremlenabs ag+ ag ag& ag"lemmasass ]x ] (y ] z) = (x ] y) ] z150.71 0.65 0.65 0.78com ]x ] y = y ] x230.92 0.79 0.3{lemc ]com2 ] x ] (y ] z) = y ] (x ] z)150.71 0.65{{lemc ]lemc ] ? ] (y ] x) = y ] ( ? ] x)130.76 0.48 0.40{even ]e(x) e(x ] y)290.82 1.00{{dbl...
متن کاملAutomated Conjecturing of Frobenius Numbers via Grammatical Evolution
Conjecturing formulas and other symbolic relations occurs frequently in number theory and combinatorics. If we could automate conjecturing, we could benefit not only from faster conjecturing but also from finding conjectures previously out of our grasp. Grammatical evolution, a genetic programming technique, can be used for automated conjecturing in mathematics. Concretely, this work describes ...
متن کاملLevels of Explanation Reconceived*
A common argument against explanatory reductionism is that higher-level explanations are sometimes or always preferable because they are more general than reductive explanations. Here I challenge two basic assumptions that are needed for that argument to succeed. It cannot be assumed that higher-level explanations are more general than their lower-level alternatives or that higher-level explana...
متن کاملDomain Transfer via Analogy 1 Running head: DOMAIN TRANSFER VIA CROSS-DOMAIN ANALOGY Domain Transfer via Cross-Domain Analogy
Analogical learning has long been seen as a powerful way of extending the reach of one‟s knowledge. We present the domain transfer via analogy (DTA) method for learning new domain theories via cross-domain analogy. Our model uses analogies between pairs of textbook example problems, or worked solutions, to create a domain mapping between a familiar and a new domain. This mapping allows us to in...
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: Educational Studies in Mathematics
سال: 2010
ISSN: 0013-1954,1573-0816
DOI: 10.1007/s10649-010-9274-1