William Kuch Posted over 1 year ago To revolutionize both math and physics by the grassroots popularization of a new quantitative tool which is introduced below. Law of Excluded Middle says you can only have truth values 0 and 1. Law of Exclusive Middle says there is no 0, there is no 1, all truth values must fall on the open interval (0, 1) noninclusive. Consider that 0.999... = 1. Consider 0.999... as a magnitude of truth, or an expected magnitude. For anything which is true, we can [a] be certain of it's truth with a certainty of 1, or [b] we can be uncertain of this truth with magnitude 0.999... . Quantitatively they are indistinguishable because .999... = 1. The only difference being qualitative. In one case we are certain, in the other we are uncertain. Certainty and uncertainty are equivalent in this example. We can easily generalize this and make lots of examples.