Question

This philosopher’s use of metalanguages in a 1933 paper laid the groundwork for model theory and was later applied to natural language by Donald Davidson. For 10 points each:
[10h] Name this Polish American logician who developed a criterion called Convention T for a semantic theory of truth.
ANSWER: Alfred Tarski
[10e] Tarski began to consider metalanguages in part because of a paradox named for this type of person, which is often rendered as “This sentence is false.” A statement attributed to Epimenides states that “all Cretans are [this type of person].”
ANSWER: liar [accept liar paradox; accept “all Cretans are liars”]
[10m] Tarski’s paper contained a proof of his eponymous undefinability theorem, which was first discovered by a different logician while proving this result. This theorem implies that any formal system has true but unprovable sentences.
ANSWER: Gödel’s incompleteness theorem [accept Gödel’s first incompleteness theorem]
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Lehigh APenn State B010010