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Why a=b, b=c, a=c is untrue... Although mathematically this is true, you often see in real life this being used incorrectly. For example, "Apples are red. Fire trucks are red. So apples are fire trucks." The issue with this is that for the mathematical version, each variable (a, b, c...) holds one value, a numerical one. A is one, or two, or three, ect. As for the other way, it implies that each has only one value but this is untrue. An apple is red, and a fruit, and has a name of apple, and weighs blah blah blah ect. Therefore, it is possible for some characteristics to match while others don't. This may mean that no characteristics match at all! Ex: Apples are a fruit as are oranges. Oranges are Orange as is the sun. Does this mean the atomic mass of the elements in the sun are the same as those in an apple? No!