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Do you think these expressions can be used interchangeably? I find little or no differene between the two meanings. Does this question need more context?

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Yes,surely it needs! :) –  Persian Cat May 1 '13 at 23:32
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Technically possible is a hedge, meaning 'possible, but only under certain technically-specified (but practically irrelevant) definitions'. Physically possible, however, is compositional, meaning 'possible according to the laws of physics'. –  John Lawler May 2 '13 at 0:18
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"Physically possible" is also used sometimes as a hedge. It is physically possible for all the water molecules in a pool to move suddenly to one side of the pool. –  MετάEd May 2 '13 at 0:36
    
I agree. They are sometimes used interchangeably, but not always; more context is needed. –  hunter2 May 2 '13 at 8:08
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2 Answers

Speaking from the eastern side of the Pond, I would understand them as being different:

  • Technically possible : theoretically possible, but may not be actually possible.
  • Physically possible : actually possible; possible in practice.
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When you say 'technically possible' you mean that it is something that can be done, if you just go by the book. Like, according to the manual of instructions, you can make it happen. Usually this term is used when the truth of the matter is that, whatever the book says, it actually cannot be done. So in a way, it's a non-answer.

To say something is 'physically possible' is just to talk about the mechanics of the operation. There is no consideration given to other relevant factors. Like, for example, you can say that it is physically possible for a child to crawl through a 100-foot-long sewer pipe which is big enough to accommodate the child's body. This doesn't mean that it is actually possible because there are other considerations like whether the child would have the courage to do that, especially if the sewer pipe in question is totally dark and probably infested with mice and other creepy-crawlies, not to mention that it would very likely also be partly filled with stinking sewage.

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