Hume's account of empirical knowledge, and how it is not obtained, has raised some troubling questions. His theory of the mind describes a collection of ideas and impressions related by resemblance, contiguity and cause and effect.
It is cause and effect that leads us to inferring things about the outside, empirical world beyond our immediate senses. What Hume argues is that knowledge cannot be found beyond our immediate senses.
Hume's first denial about what knowledge can be is that mathematical or logical reasoning has any place in matters of fact or empirical knowledge From what has become known as Hume's fork, he has divided what a mind can contemplate into relations of ideas and matters of fact. Logical reasoning has been pigeonholed into relations of ideas and so are nothing to do with the empirical world.
His argument for rejecting 'cause' as a priori is that a matter of fact can be denied and not be logically indefensible. The sun may not rise tomorrow is not logically false. He also argues that that the effect cannot be logically reasoned from the cause. It only comes from experience. Adam would not know water could drown him from reasoning about water alone.
If cause is not inate then does it come from the senses? Hume's second denial is that it does not come from the senses. There is no observable force between cause and effect. However the mind feels there is a force between the two, if only metaphysical.
Hume explains that cause and effect are just constant conjunctions of objects or events. They always occur together. This is Hume's logical definitions of cause. It has another clause that states that if the following event did not occur, then the preceding event did not exist.
Hume also considers a psychological definition of cause to answer the feeling in the mind that there is a cause. He believed that cause is a feature of human thought alone. It is part of our psychology and not 'out there' in the physical world.
So we acquire the concept of cause by believing there is a 'necessary connexion' between events. When two objects or events are constantly conjoined the idea of cause occurs to the observer after repeated observations of the conjunction. The experience of repeated observations soon forms into habits and custom. The concept of cause soon becomes subsumed into custom.
The concept of cause may be the only way man can infer things beyond our sense impressions. For the business of living Hume agrees that inference is necessary. It is part of our psychology.
Hume's third denial is that we can never be justified in making factual inferences which carry us beyond the sensual evidence of past and present observations. We are making a great presumption when we assume that the future will be like the past. This is a problem of induction, a logical process central to scientific observation and hypothesis making. If continual observation and inferences as to future behaviour of events cannot become fact then where does this leave knowledge of the outside world?
Hume was concerned with placing human behaviour as a central natural philosophy or 'moral philosophy'. To this end he believed that humanity had to act upon something in order to get on with the business of living, and this could be determined.
It is belief that enables mankind to move beyond immediate sensual experience. But what is belief? Hume suggests that it is a deeper, more forceful feeling or sentiment.
What Hume has left us with are no hard facts or the ability to obtain certain knowledge of the empirical world, only feelings and sentiments. Knowledge may well be defined in terms of belief, and left to prove facts under continual critical examination. This may be the dynamic needed for research and improvement of mankind's inferences about the external world, rather than a negation of all things believed to be true about matters of fact.
There are problems with Hume's account of cause. A constant conjunction can be just a coincidence. What is just coincidence and what is cause and effect? It is not beyond man to attribute a cause to two events that are not constantly conjoined. When does custom and habit 'kick in'. How many times do two objects or events have to be observed before it becomes part of man-kinds' or the individual's concept of cause and effect? How is the concept conveyed from the individual to others that have not had the experience of observation. The logical definition's second clause is implausible. In an observation A/B there may be events 'B' where there is no 'A'.
Hume dismissed extreme scepticism by referring to the 'business in hand'. Human beings had to infer things from their surroundings to survive. What the sceptics would argue is that this does not answer the problem of knowledge itself. By exposing the problem of induction they would thank Hume for contributing another weapon in their armoury. Hume has, however, provided the dynamic for what knowledge could only be - a set of beliefs. As mankind need inference to survive, it also needs to question those inferences when observations about the empirical world can change.
Course Notes.
Hume, An Enquiry Concerning Human Understanding, Ed. E Steinberg, Hackett Publishing Co.
A.J.Ayer,(1980),Hume, O.U.P. especially Chapter 4 - Cause and Effect.