We will look at only two of the remaining sections of the Enquiry (the two which correspond to material in his Treatise). Their topics are quite different, and the second really encompasses several different topics itself.
• Section IX concerns animal reason, so it is natural to compare to what Descartes says. However, notice that, while Descartes argues for the difference between humans and animals, Hume assumes our similarity and uses it as support for his view of human reasoning.
• In §XII, Hume considers the reality of an external world; that is, he turns to the topic to which Descartes devoted his sixth meditation and which was the main focus of Berkeley’s Principles. In part I he outlines several skeptical arguments—one “antecedent to philosophy” in ¶¶3-4 (pp. 102f) and another “consequent to philosophy” in the rest of part I but divided into two arguments, one a dilemma introduced in ¶¶9-13 (pp. 104f) and stated in ¶14 (p. 105f), and another presented in ¶15 (p. 106), with both summarized in the last paragraph of the part. Descartes is mentioned explicitly in the discussion of ¶¶3-4, but Hume clearly has some of his arguments in mind in ¶¶9-14 also; in ¶15, Hume has Locke and Berkeley in mind (and be sure to read note 64, most of which is due to Hume, not the editor). This is all reminiscent of the treatment of cause and effect in §IV, but Hume offers nothing like the “skeptical solution” in §V apart from his account of our instinctive beliefs in ¶¶7-8 (p. 104). In the Treatise, Hume offered a much more elaborate account of these beliefs that was comparable to what he says about cause and effect in §§V and VII. If you are curious, I’ve included some of that below.
• Sections II-III are more miscellaneous in their content. §II is presented as a discussion of a form of skepticism (you should read the editor’s footnote 67 for a standard description of this form, with which Hume’s account seems in conflict); but, along the way, Hume has something to say about mathematics. §III begins discussing skepticism but turns to the possibility of knowledge and ends in a famous statement of what sorts of philosophy are legitimate.
Selection from Hume’s Treatise (bk. 1, pt. 4, §2, ¶¶18-24):
¶18 After a little examination, we shall find, that all those objects, to which we attribute a continu’d existence, have a peculiar constancy, which distinguishes them from the impressions, whose existence depends upon our perception. Those mountains, and houses, and trees, which lie at present under my eye, have always appear’d to me in the same order; and when I lose sight of them by shutting my eyes or turning my head, I soon after find them return upon me without the least alteration. My bed and table, my books and papers, present themselves in the same uniform manner, and change not upon account of any interruption in my seeing or perceivilng them. This is the case with all the impressions, whose objects are suppos’d to have an external existence; and is the case with no other impressions, whether gentle or violent, voluntary or involuntary.
¶19 This constancy, however, is not so perfect as not to admit of very considerable exceptions. Bodies often change their position and qualities, and after a little absence or interruption may become hardly knowable. But here ’tis observable, that even in these changes they preserve a coherence, and have a regular dependence on each other; which is the foundation of a kind of reasoning from causation, and produces the opinion of their continu’d existence. When I return to my chamber after an hour’s absence, I find not my fire in the same situation, in which I left it: But then I am accustomed in other instances to see a like alteration produc’d in a like time, whether I am present or absent, near or remote. This coherence, therefore, in their changes is one of the characteristics of external objects, as well as their constancy.
¶20 Having found that the opinion of the continu’d existence of body depends on the coherence, and constancy of certain impressions, I now proceed to examine after what manner these qualities give rise to so extraordinary an opinion. To begin with the coherence; we may observe, that tho’ those internal impressions, which we regard as fleeting and perishing, have also a certain coherence or regularity in their appearances, yet ’tis of somewhat a different nature, from that which we discover in bodies. Our passions are found by experience to have a mutual connexion with and dependence on each other; but on no occasion is it necessary to suppose, that they have existed and operated, when they were not perceiv’d, in order to preserve the same dependence and connexion, of which we have had experience. The case is not the same with relation to external objects. Those require a continu’d existence, or otherwise lose, in a great measure, the regularity of their operation. I am here seated in my chamber with my face to the fire; and all the objects, that strike my senses, are contain’d in a few yards around me. My memory, indeed, informs me of the existence of many objects; but then this information extends not beyond their past existence, nor do either my senses or memory give any testimony to the continuance of their being. When therefore I am thus seated, and revolve over these thoughts, I hear on a sudden a noise as of a door turning upon its hinges; and a little after see a porter, who advances towards me. This gives occasion to many new reflections and reasonings. First, I never have observ’d, that this noise cou’d proceed from any thing but the motion of a door; and therefore conclude, that the present phaenomenon is a contradiction to all past experience, unless the door, which I remember on t’other side the chamber, be still in being. Again, I have always found, that a human body was possest of a quality, which I call gravity, and which hinders it from mounting in the air, as this porter must have done to arrive at my chamber, unless the stairs I remember be not annihilated by my absence. But this is not all. I receive a letter, which upon, opening it I perceive by the hand-writing and subscription to have come from a friend, who says he is two hundred leagues distant. ’Tis evident I can never account for this phenomenon, conformable to my experience in other instances, without spreading out in my mind the whole sea and continent between us, and supposing the effects and continu’d existence of posts and ferries, according to my Memory and observation. To consider these phaenomena of the porter and letter in a certain light, they are contradictions to common experience, and may be regarded as objections to those maxims, which we form concerning the connexions of causes and effects. I am accustomed to hear such a sound, and see such an object in motion at the same time. I have not receiv’d in this particular instance both these perceptions. These observations are contrary, unless I suppose that the door still remains, and that it was open’d without my perceiving it: And this supposition, which was at first entirely arbitrary and hypothetical, acquires a force and evidence by its being the only one, upon which I can reconcile these contradictions. There is scarce a moment of my life, wherein there is not a similar instance presented to me, and I have not occasion to suppose the continu’d existence of objects, in order to connect their past and present appearances, and give them such an union with each other, as I have found by experience to be suitable to their particular natures and circumstances. Here then I am naturally led to regard the world, as something real and durable, and as preserving its existence, even when it is no longer present to my perception.s
¶21 But tho’ this conclusion from the coherence of appearances may seem to be of the same nature with our reasonings concerning causes and effects; as being deriv’d from custom, and regulated by past experience; we shall find upon examination, that they are at the bottom considerably different from each other, and that this inference arises from the understanding, and from custom in an indirect and oblique manner. For ’twill readily be allow’d, that since nothing is ever really present to the mind, besides its own perceptions, ’tis not only impossible, that any habit shou’d ever be acquir’d otherwise than by the regular succession of these perceptions, but also that any habit shou’d ever exceed that degree of regularity. Any degree, therefore, of regularity in our perceptions, can never be a foundation for us to infer a, greater degree of regularity in some objects, which are not perceiv’d; since this supposes a contradiction, viz. a habit acquir’d by what was never present to the mind. But ’tis evident, that whenever we infer the continu’d existence of the objects of sense from their coherence, and the frequency of their union, ’tis in order to bestow on the objects a greater regularity than what is observ’d in our mere perceptions. We remark a connexion betwixt two kinds of objects in their past appearance to the senses, but are not able to observe this connexion to be perfectly constant, since the turning about of our head or the shutting of our eyes is able to break it. What then do we suppose in this case, but that these objects still continue their usual connexion, notwithstanding their apparent interruption, and that the irregular appearances are join’d by something, of which we are insensible? But as all reasoning concerning matters of fact arises only from custom, and custom can only be the effect of repeated perceptions, the extending of custom and reasoning beyond the perceptions can never be the direct and natural effect of the constant repetition and connexion, but must arise from the co-operation of some other principles.
¶22 I have already observ’d,* in examining the foundation of mathematics, that the imagination, when set into any train of thinking, is apt to continue, even when its object fails it, and like a galley put in motion by the oars, carries on its course without any new impulse. This I have assign’d for the reason, why, after considering several loose standards of equality, and correcting them by each other, we proceed to imagine so correct and exact a standard of that relation, as is not liable to the least error or variation. The same principle makes us easily entertain this opinion of the continu’d existence of body. Objects have a certain coherence even as they appear to our senses; but this coherence is much greater and more uniform, if we suppose the object to have a continu’d existence; and as the mind is once in the train of observing an uniformity among objects, it naturally continues, till it renders the uniformity as compleat as possible. The simple supposition of their continu’d existence suffices for this purpose, and gives us a notion of a much greater regularity among objects, than what they have when we look no farther than our senses.
* [Treatise, bk. I] Part 2. Sect. 4.
¶23 But whatever force we may ascribe to this principle, I am afraid ’tis too weak to support alone so vast an edifice, as is that of the continu’d existence of all external bodies; and that we must join the constancy of their appearance to the coherence, in order to give a satisfactory account of that opinion. As the explication of this will lead me into a considerable compass of very profound reasoning; I think it proper, in order to avoid confusion, to give a short sketch or abridgment of my system, and afterwards draw out all its parts in their full compass. This inference from the constancy of our perceptions, like the precedent from their coherence, gives rise to the opinion of the continu’d existence of body, which is prior to that of its distinct existence, and produces that latter principle.
¶24 When we have been accustomed to observe a constancy in certain impressions, and have found, that the perception of the sun or ocean, for instance, returns upon us after an absence or annihilation with like parts and in a like order, as at its first appearance, we are not apt to regard these interrupted perceptions as different, (which they really are) but on the contrary consider them as individually the same, upon account of their resemblance. But as this interruption of their existence is contrary to their perfect identity, and makes us regard the first impression as annihilated, and the second as newly created, we find ourselves somewhat at a loss, and are involv’d in a kind of contradiction. In order to free ourselves from this difficulty, we disguise, as much as possible, the interruption, or rather remove it entirely, by supposing that these interrupted perceptions are connected by a real existence, of which we are insensible. This supposition, or idea of continu’d existence, acquires a force and vivacity from the memory of these broken impressions, and from that propensity, which they give us, to suppose them the same; and according to the precedent reasoning, the very essence of belief consists in the force and vivacity of the conception.