Manfred Krifka explores the relationship between nominal reference and temporal constitution in event semantics. He argues that the distinction between mass and count nouns in the nominal domain corresponds to the atelic and telic distinctions in the verbal domain. Nominal expressions like "a book" are quantized, while "beer" is cumulative. Similarly, verbal expressions like "solve the puzzle" are telic, while "walk" is atelic. The interaction between nominal arguments and verbal predicates determines the temporal constitution of the complex expression. For example, a quantized argument like "a glass of beer" yields a telic predicate, while a cumulative argument like "beer" yields an atelic predicate. Krifka develops a formal framework using lattices and measure functions to capture these distinctions. He introduces a lattice structure for structured individual domains and defines measure functions that preserve certain properties of the object domain. These functions are used to characterize the cumulative and quantized reference of predicates. He also introduces derived measure functions to transfer measure functions from one sort to another, which is essential for handling expressions like "five ounces of gold." In the semantics of nominal predicates, mass nouns like "gold" are assigned cumulative predicates, while quantized predicates can be derived from mass nouns using measure constructions. The analysis of count nouns involves two-place relations between numbers and entities, contrasting with the one-place predicates of mass nouns. Count nouns are represented as relations that bind a number argument to an entity, and bare plurals are treated as cumulative predicates. In the semantics of temporal constitution, Krifka uses a lattice structure for events, similar to that of objects. Verbal predicates are represented as one-place predicates of events, with thematic relations capturing roles like agent and patient. Telic predicates are quantized event predicates, while atelic predicates are strictly cumulative. The distinction between telic and atelic expressions is formalized in terms of terminal points of events relative to their types. Krifka also addresses the problem of how nominal reference types influence the temporal constitution of verbal expressions. He introduces a formal calculus based on thematic relations and space-time diagrams to capture this influence. The transfer of reference types is formalized through homomorphisms that preserve lattice structures, ensuring that the properties of nominal expressions are reflected in the temporal constitution of verbal expressions.Manfred Krifka explores the relationship between nominal reference and temporal constitution in event semantics. He argues that the distinction between mass and count nouns in the nominal domain corresponds to the atelic and telic distinctions in the verbal domain. Nominal expressions like "a book" are quantized, while "beer" is cumulative. Similarly, verbal expressions like "solve the puzzle" are telic, while "walk" is atelic. The interaction between nominal arguments and verbal predicates determines the temporal constitution of the complex expression. For example, a quantized argument like "a glass of beer" yields a telic predicate, while a cumulative argument like "beer" yields an atelic predicate. Krifka develops a formal framework using lattices and measure functions to capture these distinctions. He introduces a lattice structure for structured individual domains and defines measure functions that preserve certain properties of the object domain. These functions are used to characterize the cumulative and quantized reference of predicates. He also introduces derived measure functions to transfer measure functions from one sort to another, which is essential for handling expressions like "five ounces of gold." In the semantics of nominal predicates, mass nouns like "gold" are assigned cumulative predicates, while quantized predicates can be derived from mass nouns using measure constructions. The analysis of count nouns involves two-place relations between numbers and entities, contrasting with the one-place predicates of mass nouns. Count nouns are represented as relations that bind a number argument to an entity, and bare plurals are treated as cumulative predicates. In the semantics of temporal constitution, Krifka uses a lattice structure for events, similar to that of objects. Verbal predicates are represented as one-place predicates of events, with thematic relations capturing roles like agent and patient. Telic predicates are quantized event predicates, while atelic predicates are strictly cumulative. The distinction between telic and atelic expressions is formalized in terms of terminal points of events relative to their types. Krifka also addresses the problem of how nominal reference types influence the temporal constitution of verbal expressions. He introduces a formal calculus based on thematic relations and space-time diagrams to capture this influence. The transfer of reference types is formalized through homomorphisms that preserve lattice structures, ensuring that the properties of nominal expressions are reflected in the temporal constitution of verbal expressions.