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"Logic must look after itself." (5.473)

Frege and Russell both conceived of logic as being a fundamental set of laws that then rested on self-evident axioms. Wittgenstein found this conception distasteful for a number of reasons, not least of which was the fact the axioms themselves were given no justification. According to Wittgenstein, logic should not stand in need of justification, nor should it need laws to say what can and cannot be the case. Logic defines the boundaries of sense: any proposition that has sense has a logical form, and any proposition that is nonsense lacks logical form. Thus, we do not need laws, axioms, or anything else to tell us what is and is not allowed in logic.

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