LIGN 130 Lecture Notes - Lecture 4: Existential Quantification, Tl;Dr, Oxymoron

• School: UCSD
• Department: Linguistics/General
• Course: LIGN 130
• Professor: Ivano Capronigro

Document Summary

Intuitively, a set is a collection of objects . We won"t give a precise definition of a set, though, but we"ll assume the notion of a set to be a primitive, as we do with numbers. You know how to use 1, 2, 3, etc. , though it is hard to define them or define what a number is in general. We want our theory to account for. Contrariety: ivano neither likes nor hates pasta, neither is true. All entailments must be true if the first sentence is true. By defining the properties that all and only the members of that set shares: Example: {x: x is a natural number smaller or equal to 10} To be read: the set of individuals/objects x that are natural numbers smaller or equal to 10. By listing all the members of the set separated by comas and between curly brackets. Example: {1, 2, 3, 4, 5, 6, 7, 8, 9 ,10}