Recently, I listened to a Korean communist woman being interviewed about mathematics. She explained how Westerns non-communist logic and science are all wrong. The interviewer responded by asking her if she believed that 1 + 1 = 2. Her response was approximately this: “If you add one drop of water to another drop of water, you do not get two drops of water but one bigger drop of water.” Hence, the equation of 1 + 1 = 2 must be wrong and all math built on this must also be wrong.
What she performed is called a ‘semantic shift’. The term ‘plus’ is equivocal. This means that it can relate to different concepts depending on the context. First, she relates it to numerical addition. When we say, “one plus one” in a purely numerical sense, we are operating within the context of arithmetic where one numerical value plus one numerical value is two.
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