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Because the paramecia are not directly observable without instruments, we can only hypothesize that there are objects being observed for which the invariant geometric relations hold.
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The observation of these invariances is possible, in part, because the tree is itself observable without the aid of instruments (van Fraassen 2001, 160).
Music lessons are taught without instruments.
"It's like flying a plane without instruments," he said.
Pilots were often asked to fly in poor weather, without instruments, without combat weaponry and frequently without radios.
"DIPLOMACY without arms", remarked Frederick the Great of Prussia, "is like music without instruments".
"DIPLOMACY without arms," said Frederick the Great, "is like music without instruments".
But the telescope without instruments isn't anything, and instruments without a good telescope mean nothing either.
Learn how to determine the weather without instruments.
Its dimensions can be measured; its radius of curvature in all directions can be calculated; the imperfections and departures from sphericity are directly observable by our instruments.
We then illustrate this approach by studying two classic settings: selection-on-observables and instrument variables.
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