<P> Nevertheless, the connection between mathematics and reality (and so science to the extent it describes reality) remains obscure . Eugene Wigner's paper, The Unreasonable Effectiveness of Mathematics in the Natural Sciences, is a very well known account of the issue from a Nobel Prize - winning physicist . In fact, some observers (including some well known mathematicians such as Gregory Chaitin, and others such as Lakoff and Núñez) have suggested that mathematics is the result of practitioner bias and human limitation (including cultural ones), somewhat like the post-modernist view of science . </P> <P> George Pólya's work on problem solving, the construction of mathematical proofs, and heuristic show that the mathematical method and the scientific method differ in detail, while nevertheless resembling each other in using iterative or recursive steps . </P> <Table> <Tr> <Th> </Th> <Th> Mathematical method </Th> <Th> Scientific method </Th> </Tr> <Tr> <Td> </Td> <Td> Understanding </Td> <Td> Characterization from experience and observation </Td> </Tr> <Tr> <Td> </Td> <Td> Analysis </Td> <Td> Hypothesis: a proposed explanation </Td> </Tr> <Tr> <Td> </Td> <Td> Synthesis </Td> <Td> Deduction: prediction from the hypothesis </Td> </Tr> <Tr> <Td> </Td> <Td> Review / Extend </Td> <Td> Test and experiment </Td> </Tr> </Table> <Tr> <Th> </Th> <Th> Mathematical method </Th> <Th> Scientific method </Th> </Tr>

Scientific english uses german elements. true false