A cardinal is worldly when . Every strongly inaccessible cardinal is worldly, but worldly cardinals can be singular.
If , it has the standard natural numbers and standard finite proofs. Every arithmetical sentence, including a formal consistency statement, therefore has the same truth value in and the universe.
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The term "worldly cardinal" isn't widely recognized in common discourse or established literature, so it could refer to different concepts depending on context. However, it seems to suggest two distinct meanings: 1. **Religious Context**: In a more traditional sense, a "cardinal" typically refers to a high-ranking official in the Roman Catholic Church, a cardinal is a member of the clergy who is appointed by the Pope and is eligible to participate in papal elections.