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Dec 14, 2016 at 6:41 comment added Emil Jeřábek Unlike the other levels, the construction of $T_1$ from $T_0$ is not conservative. The constants in $T_1$ are not just an expansion by definitions, they actually imply the existence of the corresponding “classes” which is not provable in $T_0$ alone. So, the last part is now incorrect.
Dec 14, 2016 at 2:08 history edited Noah Schweber CC BY-SA 3.0
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Dec 13, 2016 at 18:41 history answered Noah Schweber CC BY-SA 3.0