“Relations of Ideas” and “Matters of Fact”:

•Other ideas are not logically connected: for example: “bachelor” to “bald,” “puppy” to “playful,” “four” to “the number of children Jones has”: Some bachelors are bald; some puppies are not playful; Jones has four children.
•In the above cases (and others like them) the statements may or may not be true. Even if they are true, they could have been false. Hume calls such statements “Matters of Fact.”
•[This distinction corresponds (roughly) to the distinction between “necessary” and “contingent” truths.]