Ockham’s Razor – The Elegance of Simplicity
William of Ockham (1285–1347/49) was a 14th century English philosopher. His philisophical propsitions forms the basis of how we approach, understand and try to describe the world especially in the world of Science. He espoused the maxim “Pluralitas non est ponenda sine necessitate;” or “Plurality should not be posited without necessity.”
Ockham’s razor also spelled Occam’s razor, also called law of economy, or law of parsimony, is a principle gives precedence to simplicity; of two competing theories, the simplest explanation of an entity is to be preferred. The principle is also expressed “Entities are not to be multiplied beyond necessity.” The ‘razor’ comes from the idea of shaving off any unnecessary assumptions from a theory or to parr down competing theories. This principle may sound ‘obvious’ to us but … that’s the point, that’s how we’re already trained to think. How different would our world be different if we didn’t take this approach. Below is a discussion of this seminal view.
The Idea in PracticeAn issue…
- the circles marked the landing sites of alien spaceships or UFOs which had left the distinctive patterns on the ground
- the circles had heen created by human hoaxers, who had come at night, equipped with ropes and various other tools, to create the marks and so stoke up media attention and speculation
Both explanations appeal to fit the available evidencee, so how do we decide which of these or the other available theories we should believe? In the absence of any other information, can we make a rational choice of one theory over its rivals? According to Ockham’s razor, we can: where two or more hypotheses are offered to explain a given phenomenon, it is reasonable to accept the simplest one – the one that makes fewest unsupported assumptions. Theory 1 assumes that UFOs exist, an assumption for which there is no clear supporting evidence. Theory 2 makes no assumptions about paranormal activity; indeed it assumes only the kind of prankish human behaviour that has been common throughout history. So we are rationally justified – provisionally and always allowing that new evidence may become available – in believing that crop circles are the work of human hoaxers.
In fact, in this case Ockham’s razor is spot on. It is now known that theory 2 is correct, because the hoaxers concerned have admitted as much. Is the razor always as reliable as this?
Sometimes known as the principle of parsimony1. excessive frugality; extreme economy or stinginess.
2. Adoption of the simplest assumption in the formulation of a theory or in the interpretation of data, Ockham’s razor is in essence an injunction not to seek a more complicated explanation for something where a simpler one is available.
If several alternative explanations are on offer, you should (other things being equal) favour the simplest. Ockham’s razor does not claim that a simpler explanation is always correct, merely that it is more likely to be true and so should he preferred until there are grounds for adopting a more elaborate alternative. It is essentially a rule of thumb or methodological injunction, especially valuable (one would suppose) in directing one’s efforts in the early stages of an investigation.
The Razor in Action
Although not explicitly credited, Ockham’s razor is frequently wielded in scientific and other rational debates. For example referring to the philosophical “Brain in a vat problem”, (see an earlier article here…) two rival scenarios are set up, both apparently compatible with the available evidence: we are real physical beings in a real world, or we are brains in vats. Is it rational to believe the former rather than the latter? Yes, according to Ockham’s razor, because the former is much simpler: a single real world, rather than the virtual world created by the vat, plus the vat apparatus, evil scientists and so on. But here, as often elsewhere, the problem is shifted, not solved: for how do we tell which scenario is simpler.’ You could, for instance, insist that the number of physical objects is what matters and therefore that a virtual world is simpler than a real one. The razor may be used to slice away one layer of complexity, but it doesn’t of course indicate which one to throw away.
What is simplicity ?
The idea of simplicity can be interpreted in different ways. Is the injunction against introducing unwarranted entities or unwarranted hypotheses? These are very different things; keeping the number and complexity of hypotheses to a minimum is sometimes referred to as ‘elegance’; minimizing the number and complexity of entities as ‘parsimony’. And they can run counter to each other: introducing an unknown entity, such as a planet or a subatomic particle might allow a great deal of ‘theoretical scaffolding’ to be dismantled. But if there is such a basic uncertainty about the meaning of the razor, is it reasonable to expect any firm guidance from it?
Judicious use of Ockham’s razor is supposed to facilitate rational choice between rival theories. Burldan’s ass – supposedly due to William of Ockham’s pupil Jean Buridan – illustrates the danger of over-rationalizing choice. The ass in question, finding itself placed midway between two haystacks, can see no reason to favour one stack over the other and so does nothing and starves to death. The hapless beast’s mistake is to suppose that there being no reason to do one thing rather than another makes it irrational to choose and hence rational to do nothing. In fact, of course, it is rational to do something, even if that something cannot be determined by rational choice.