This is a very one-sided way of looking at language. In practice we very rarely use language as such a calculus. For not only do we not think of the rules of usage ‒ ‒ ‒ of definitions, etc. ‒ ‒ ‒ while using language, but when we are asked to give such rules in most cases we aren't able to do so. We are unable clearly to circumscribe the concepts we use; not because we don't know their real definition, but because there is no real “definition” to them. To suppose that there must be would be like supposing that whenever children play with a ball they play a
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game according to strict rules.