Economists should make clear that precise forecasts are not possible but that application of economic principles and careful analysis of data and historical events can substantially improve political decisions.
To say that a conclusion necessarily follows from the premises is to say that the argument is somehow exceptionless, but there are many different ways to make that idea precise. is necessarily truth preserving, but it seems a long way from being deductively valid.
North American companies that make the precise instruments for etching billions of circuits onto silicon wafers said Thursday evening that orders jumped 8% last month following a huge decline in February.
There's an eeriness to her inability to make the precise connections that Levenson hints at -- the connections that in their entirety reveal a continuing epidemic in this country, one that we could have foreseen, dragging along new damage in the oldest ruts of neglect.
The audit demanded by Congress, which will take several months, should make that figure more precise.
However, I eventually stumbled upon the Matlab documentation stating that to make this precise, it was necessary to pad the two vectors with zeros, which after I did caused things to work.
To make this precise, note that for every (n ge 0), the subcategory (I_{le n} subset I) is also a Reedy category, and the embedding (tau _{le n}:I_{le n} rightarrow I) is a Reedy functor.
I will flick the turn signal down, so it makes that satisfying, precise click.
The situation turned out to be rather ironic since in the end it was shown (in a sense that can be made precise) that although the standard large cardinal axioms effectively settle all question of complexity strictly below that of CH, they cannot (by results of Levy and Solovay and others) settle CH itself.
What's needed to make that charge stick is a precise account of when an argument begs the question.
