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In this article, I have analyzed voting methods under highly idealized assumptions.
These, particularly the claim that the sequence length is unconstrained, are of course idealized assumptions.
A second lesson is that some rationales depend on highly idealized assumptions and might provide less clarity about the design of benefit packages than might be hoped.
In a similar spirit, Scerri points out that the quantum mechanical calculations of atomic spectra standardly presented in chemistry textbooks make highly idealized assumptions about the structure of many-electron systems.
Finally, motivated by examples from the population ecology, earth science, and statistical mechanics, Strevens (2008) and Weisberg (2013) argue for a new interpretation of laws and models involving idealized assumptions, the minimalist account of idealizations.
Under certain idealized assumptions, a concept known as the "balanced-budget multiplier theorem" states that national income is raised, dollar for dollar, with any increase in government expenditure on goods and services that is matched by a tax increase.
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Such idealized assumption makes existing routing protocols inappropriate in the real world.
Ideal theory makes two types of idealizing assumptions about its subject matter.
Whatever the conclusion about the irrationality of being incoherent though, with idealizing assumptions about the connection between degrees of belief and the evaluation of options, the DBA succeeds in establishing incoherence as an evaluative defect.
In such cases, idealizing assumptions can be introduced to bring the relevant feature of the mechanism most clearly into view: infinite populations, frictionless planes, perfect geometrical shapes are presumed in order to strip the model of detail that does not matter for, or would only obstruct, the intended purposes of model.
If, for instance, we have a model we take to be a realistic depiction, the transfer of knowledge from the model to the target is accomplished in a different manner than when we deal with an analogue, or a model that involves idealizing assumptions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com