The Concepts And Theories of Modern Physics

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But for this assumption there can be no valid reason founded upon or consistent with the premisses of the transcendental theory, why space may not be essentially paraboloidal, or hyperboloidal, or polyhedral, or of any other inherent form evolvable from the creative fancy of the next non-homaloidal in- tellect.
This brings me to the allegation of the transcenden- talists, that the properties of space, such as the degree and form of its curvature, are to be determined by ex- periment. How would
...such a determination be ef- fected? Suppose an astronomer, at proper intervals, directed his telescope to some fixed star whose distance from the earth he knew in some way (say from spec- troscopic data) to be far greater than that of Arcturus, for the purpose of ascertaining its parallax. And sup- pose he found this parallax sensibly to exceed that of the less distant star in other words, suppose he found, that the angle of intersection between the lines of his vision was different from that required by the known facts and laws of astronomy and optics : what would be his conclusion ?

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