In this section, David Hume reveals his scepticism regarding causality and the basis of our conclusions about the world, ultimately questioning the rational foundations of inductive reasoning. I bring forth the key points of Hume's argument, tracing his analysis of cause and effect, the role of experience in our understanding, and his radical conclusion that our knowledge of the external world rests not on reason but on reoccurring patterns of experience. Hume’s Fork: Relations of ideas and matters of fact The first paragraphs introduce an important distinction between what Hume describes as the two objects of human reason: Relations of ideas and matters of fact. This distinction has later been nicknamed Hume’s Fork. What he means with reasoning through relations of ideas is analytical and abstract reasoning, where the answer is found without needing to call upon experience. This type of reasoning is characterized by intuitive thinking (e.g. all bachelors are unmarried) and demonstrative thinking (e.g. the Pythagorean theorem). Relations
of ideas may in more modern terms be translated as analytic a priori knowledge. All the objects of human reason or enquiry may naturally be divided into two kinds, to wit, Relations of Ideas, and Matters of Fact. Of the first kind are the sciences of Geometry, Algebra, and Arithmetic; and in short, every affirmation, which is either intuitively or demonstratively certain. […] Propositions of this kind are discoverable by the mere operation of thought, without dependence on what is any where existent in the universe (Hume 2007, p. 18). Matters of fact on the other hand are characterized by inferential reasoning — also called probable reasoning by John Locke, or moral reasoning by Hume — which is always dependent upon experience in order to be justified. Examples of this may be that “water is wet”. There is no way of knowing that water is wet without consulting experience first. Hence, this may instead be translated into synthetic a posteriori…