Higher demand with constant supply, to pick nits. Giffen goods would be an outlier to the opposite conclusion: that increased prices reduce demand.
Most of the general rules have exceptions, but these are typically explainable and to some extent predictable.
Much of the observed erratic nature of economic science is not a consequence of deficiencies in the tools, but rather of the way the tools are applied: as with many other disciplines (notably history) if you torture the data enough they will tell you whatever you want to hear. Because the tools of economics are used as a basis for decisions that have immediate impacts on all manner of vested interests, there's a huge incentive to torture the data, something a chemist or physicist doesn't have to deal with.
One of the great challenges of democracy, whether established or emerging, is the difficulty of developing and implementing sound long-term economic policies - often incomprehensible to the electorate and unpopular in the short run - without getting thrown out of office. Any realistic plan to "fix the economy" is going to make a lot of people hate whoever implements the plan.
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