The art of logic: How to make sense in a world that doesn’t?

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227 Pages





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Normal language is more vague than mathematical language, and so in normal language “if … then …” can signify some other things, as we mentioned above. So just because there’s an “if … then …” in a sentence, it doesn’t necessarily mean there’s a logical implication.
The difference between formal logical language and informal real-world language is something that we will come across repeatedly as it is a source of a great deal of confusion, both about logic and about the real world. The primary aim of normal language is communication, whereas the primary aim of logical language is to eliminate ambiguity. These are not mutually exclusive aims. When we communicate, we try to do it as unambiguously as possible. And when we are trying to eliminate ambiguity, we are usually doing it to try and communicate more clearly. But normal language communicates with the help of context, body language, intonation, human understanding and so on. Logical language does not have the benefit