Sentence examples for mathematical explanatory from inspiring English sources

Dr. Dembski eventually developed what he called a mathematical "explanatory filter" that he asserted can distinguish randomness from complexity designed by an intelligent agent.

The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context.

He then claims that if proofs by ordinary mathematical induction are explanatory so are proofs by upward and downward induction from a fixed number k≠1.

Our aim is to identify conditions for proving by mathematical induction to be explanatory for the prover.

Mathematical requirements are partially explanatory as well (Seeber 2008).

By reductio, the original proof by ordinary mathematical induction is not explanatory.

By contrast, Dupré's and Cartwright's attacks on uniformly global unity and reductionism, above, include an endorsement, in causal terms, of realism.[5] Rohrlich has defended a similar realist position about weaker, conceptual (cognitive) antireductionism, although on the grounds of the mathematical success of derivational explanatory reductions (Rohrlich 2001).

Alternatively, the students may simply not value a mathematical description as an explanatory factor.

explanatory depth, mathematical rigor, parsimony there is veritably no controversy that discovering well-confirmed generalizations constitutes genuine success.

Similarly, the explanatory relation between mathematical optics and geometry is not the same as the relation of optics to empirical optics.

Further, in recent years the idea of a potentially biologically based 'number sense', a non-symbolic magnitude representation has received a lot of attention as an explanatory factor behind mathematical performance (Dehaene, 1997).