The sentence 'Maria sang beautifully in Vienna' should entail 'Maria sang beautifully.' In standard predicate logic without event variables, why is this entailment difficult to capture?
APredicate logic cannot represent adverbs at all, so the original sentence has no valid logical form
BYou would need a separate predicate for each combination of adverbs, with no principled way to derive the weaker statement from the stronger one
CThe entailment requires modal operators that first-order predicate logic lacks
DAdverbs are ambiguous between propositional and nominal readings, blocking the inference
Without event variables, 'sang beautifully in Vienna' requires its own predicate (say, sang-beautifully-in-Vienna(maria)), and 'sang beautifully' requires a different predicate (sang-beautifully(maria)). There is no logical mechanism that automatically derives the weaker from the stronger — you'd need to stipulate an axiom for every such combination. This proliferates predicates indefinitely and misses the obvious pattern. Davidson's insight was that the entailments should fall out *automatically* from logical structure, without needing extra axioms.
Question 2 Multiple Choice
In event semantics, 'John kicked the ball hard' is best represented as:
Event semantics introduces an event variable e and makes verb predicates apply to events. Participants are linked via thematic-role predicates (agent, patient), and adverbs like 'hard' become predicates on the event itself. This yields ∃e[kick(e) ∧ agent(e, john) ∧ patient(e, ball) ∧ hard(e)]. Dropping 'hard(e)' from the conjunction immediately gives the valid entailment 'John kicked the ball' — no extra axioms needed. Option A incorrectly makes 'hard' a property of John rather than the event; D reverts to the predicate-proliferation problem.
Question 3 True / False
In Davidson's event semantics, mainly sentences describing physical actions (like running or kicking) involve event variables; sentences describing mental states such as 'John believes the answer' do not require event variables.
TTrue
FFalse
Answer: False
Event semantics extends to states, processes, and all aspectual categories of verbal meaning — not just physical actions. 'John knows the answer,' 'The water is hot,' and 'Mary was sleeping' all involve event variables representing states or ongoing processes. This broad scope is necessary because aspectual distinctions (the difference between 'John ran' and 'John was running') are formally captured by how the event variable is bounded, regardless of whether the event is observable action. Restricting event variables to actions would leave stative and process sentences without a formal treatment.
Question 4 True / False
Thematic roles (agent, patient, goal) can be formally represented in event semantics as binary predicates relating an event variable to a participant, which explains why the same role type (e.g., 'patient') recurs across many different verbs.
TTrue
FFalse
Answer: True
In event semantics, agent(e, x) and patient(e, y) are binary predicates that hold between the event and its participants, independently of which verb describes the event. This means 'patient' is not a verb-specific stipulation but a cross-cutting semantic relation. A ball can be the patient of kicking, hitting, or throwing events — all expressed through the same patient(e, ball) predicate. This elegantly explains cross-verb thematic generalization and provides the formal home for the thematic role theory you studied in argument structure.
Question 5 Short Answer
What is the 'problem of adverbial modification' that Davidson's event semantics solves, and how does introducing an event variable solve it? Give an example.
Think about your answer, then reveal below.
Model answer: The problem: adverbs should modify verb meanings in a way that preserves entailments. 'John ran quickly in the park' should entail 'John ran quickly' and 'John ran in the park' and 'John ran.' In standard predicate logic, each combination of adverbs requires a distinct predicate (ran-quickly-in-the-park vs. ran-quickly), and the entailments must be stipulated by hand — the formalism does not generate them automatically. Davidson's solution: introduce an event variable e, making the verb a predicate on events and each adverb a separate conjunct on the same event: ∃e[run(e) ∧ agent(e, john) ∧ quick(e) ∧ in-park(e)]. Dropping any conjunct yields a weaker but still valid statement. The entailments fall out from the basic logic of conjunction-elimination — no extra axioms needed.
The elegance of the event-variable solution is that it preserves the compositional, conjunctive structure of modifier semantics. Each adverb contributes an independent predicate on the event, and these predicates combine by conjunction. This is both formally clean (conjunction-elimination gives entailments for free) and semantically intuitive (adverbs describe independent properties of the same event, not a single complex predicate).