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Activity for Derek Elkinsâ€
Type | On... | Excerpt | Status | Date |
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Comment | Post #290895 |
It is not the *theory* that the quote is asking to be decidable, only the determination whether a particular formula is or is not an axiom. Note, whether something is or is not an axiom is different from whether it is or is not a *theorem*. So Presburger Arithmetic is an example, but so is Peano Arit... (more) |
— | 8 months ago |
Edit | Post #291505 | Initial revision | — | 8 months ago |
Answer | — |
A: Is there a specification meta-language for logics? There are many depending on what your goals are. First, pretty much any foundational system will let you do this via encoding. It is a tedious but straightforward exercise to encode the syntax of (typical) logics and their proof theories into PA (Peano Arithmetic), say, or even PRA (Primitive Recu... (more) |
— | 8 months ago |