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Questions tagged [natural-deduction]

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rules of inference, language into metalanguage

There are rules of inference, e.g. in natural deduction they are listed. These rules follow the same rules than the logic language. If we see Modus ponens, a → b, a ⊢ b We can write for the same ...
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In what way do Hilbert-style axiomatic systems not allow for the "free introduction of assumptions", contra natural deduction systems?

From the source https://iep.utm.edu/natural-deduction/ : Natural Deduction (ND) is a common name for the class of proof systems composed of simple and self-evident inference rules based upon methods ...
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