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  2. Commensurability (philosophy of science) - Wikipedia

    en.wikipedia.org/wiki/Commensurability...

    In 1962, Thomas Kuhn and Paul Feyerabend both independently introduced the idea of incommensurability to the philosophy of science. In both cases, the concept came from mathematics; in its original sense, it is defined as the absence of a common unit of measurement that would allow a direct and exact measurement of two variables, such as the prediction of the diagonal of a square from the ...

  3. Superstructure (condensed matter) - Wikipedia

    en.wikipedia.org/wiki/Superstructure_(condensed...

    The distortion changes the band structure, in part splitting the bands up into smaller bands that can be more completely filled or emptied to lower the energy of the system. This process may not go to completion, however, because the substructure only allows for a certain amount of distortion. Superstructures of this type are often incommensurate.

  4. Commensurability - Wikipedia

    en.wikipedia.org/wiki/Commensurability

    Two concepts or things are commensurable if they are measurable or comparable by a common standard.. Commensurability most commonly refers to commensurability (mathematics). ...

  5. Glossary of biology - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_biology

    This glossary of biology terms is a list of definitions of fundamental terms and concepts used in biology, the study of life and of living organisms.It is intended as introductory material for novices; for more specific and technical definitions from sub-disciplines and related fields, see Glossary of cell biology, Glossary of genetics, Glossary of evolutionary biology, Glossary of ecology ...

  6. Aperiodic crystal - Wikipedia

    en.wikipedia.org/wiki/Aperiodic_crystal

    The history of aperiodic crystals can be traced back to the early 20th century, when the science of X-ray crystallography was in its infancy. At that time, it was generally accepted that the ground state of matter was always an ideal crystal with three-dimensional space group symmetry, or lattice periodicity.

  7. Commensurability (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Commensurability_(mathematics)

    In mathematics, two non-zero real numbers a and b are said to be commensurable if their ratio ⁠ a / b ⁠ is a rational number; otherwise a and b are called incommensurable. (Recall that a rational number is one that is equivalent to the ratio of two integers.)

  8. Commensurability (ethics) - Wikipedia

    en.wikipedia.org/wiki/Commensurability_(ethics)

    In ethics, two values (or norms, reasons, or goods) are incommensurable (or incommensurate, or incomparable) when they do not share a common standard of measurement or cannot be compared to each other in a certain way. There is a cluster of related ideas, and many philosophers use the terms differently. On one common usage:

  9. Biological rules - Wikipedia

    en.wikipedia.org/wiki/Biological_rules

    The pygmy mammoth is an example of insular dwarfism, a case of Foster's rule, its unusually small body size an adaptation to the limited resources of its island home.. A biological rule or biological law is a generalized law, principle, or rule of thumb formulated to describe patterns observed in living organisms.