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Hume-Rothery rules, named after William Hume-Rothery, are a set of basic rules that describe the conditions under which an element could dissolve in a metal, forming a solid solution. There are two sets of rules; one refers to substitutional solid solutions, and the other refers to interstitial solid solutions.
David Hume, a Scottish thinker of the Enlightenment era, is the philosopher most often associated with induction. His formulation of the problem of induction can be found in An Enquiry concerning Human Understanding, §4. Here, Hume introduces his famous distinction between "relations of ideas" and "matters of fact".
Hume's strong empiricism, as in Hume's fork as well as Hume's problem of induction, was taken as a threat to Newton's theory of motion. Immanuel Kant responded with his Transcendental Idealism in his 1781 Critique of Pure Reason, where Kant attributed to the mind a causal role in sensory experience by the mind's aligning the environmental input by arranging those sense data into the experience ...
The propensity for any two substances to form a solid solution is a complicated matter involving the chemical, crystallographic, and quantum properties of the substances in question. Substitutional solid solutions, in accordance with the Hume-Rothery rules, may form if the solute and solvent have: Similar atomic radii (15% or less difference)
The rationale of crystal geometry to atom solubility prediction is summarized in the Hume-Rothery rules and Pauling's rules. Substitutional solid solution strengthening occurs when the solute atom is large enough that it can replace solvent atoms in their lattice positions. Some alloying elements are only soluble in small amounts, whereas some ...
Hume's introduction presents the idea of placing all science and philosophy on a novel foundation: namely, an empirical investigation into human psychology.He begins by acknowledging "that common prejudice against metaphysical reasonings [i.e., any complicated and difficult argumentation]", a prejudice formed in reaction to "the present imperfect condition of the sciences" (including the ...
Hume's law or Hume's guillotine [1] is the thesis that an ethical or judgmental conclusion cannot be inferred from purely descriptive factual statements. [ 2 ] A similar view is defended by G. E. Moore 's open-question argument , intended to refute any identification of moral properties with natural properties , which is asserted by ethical ...
A fully adequate solution to the problem will have the following features. [citation needed] It will: Recognise that Hume believed the problem to be a genuine counter-example; Recognise that Hume included the example for a purpose; Provide an explanation that harmonizes well with other features of Hume's epistemology.