Since he regarded continua as purely ideal entities, it was then perfectly consistent for him to maintain, as he did, that infinitesimal quantities themselves are no less ideal simply useful fictions, introduced to shorten arguments and aid insight.
A singer and pianist, Barber wrote for both voice and piano with refinement, aided by insights from his uncle Sidney Homer, a composer, and his aunt Louise Homer, the contralto.
His focus on looking and his contemplation of the public engaged in looking — the ultimate purpose of visual art — holds the movie viewer in a state of intense and pleasurable concentration, aided by insights from a remarkably lively group of docents (mostly English and Irish women) about Rembrandt, Leonardo, Vermeer, Rubens, Turner, and other Old Masters.
In contrast to other microbial systems, these cell biological, biochemical and molecular studies have not been greatly aided by insights gained from genetics – the diploid nature of the genome has discouraged the application of selectional genetics, mutant isolation and analysis.
In all of these cultures, lucid dreaming was viewed as a way to access divine aid and insight.
The development of better, less toxic inhibitors might be aided by insights into the specificity of these inhibitors for other molecules and the spectrum of molecules bound by P-glycoprotein.
The suggested probabilistic approach has the ability to systematically quantify the impact of uncertainty which aids more insight in wellbore stability decisions.
"The trick always," he writes, "is not to take your equilibrium too seriously, to understand that they're aids to insight not Truths".
Recurring review of what is measured and why, aided with insight from experts or the scientific literature, can help ensure that climate change effects on resources designated as high priority (see section "Prioritizing Resources and Processes at Risk", above) do not go undetected.
These insights aid in the understanding of target-specific SARs and their intrinsic degree of variability.
