Occam's razor

A theory is the more impressive the greater the simplicity of its premises is, the more different kinds of things it relates, and the more extended its area of applicability. ~ Albert Einstein

Occam's razor (also Ockham's razor; Latin: lex parsimoniae "law of parsimony") is a problem-solving principle attributed to William of Ockham (c. 1287–1347), who was an English Franciscan friar, scholastic philosopher, and theologian. His principle states that among competing hypotheses, the one with the fewest assumptions should be selected.

Quotes

• What is found in biology is mechanisms, mechanisms built with chemical components and that are often modified by other, later, mechanisms added to the earlier ones. While Occam's razor is a useful tool in the physical sciences, it can be a very dangerous implement in biology.
  • Francis Crick (1988) What Mad Pursuit

• A theory is the more impressive the greater the simplicity of its premises is, the more different kinds of things it relates, and the more extended its area of applicability.
  • Albert Einstein, "Autobiographical Notes" in Albert Einstein: Philosopher-Scientist', P. Schlipp, ed. (Cambridge University Press, London: 1949), p. 33

• Men see with arrogant eyes which organize everything seen with reference to themselves and their own interests. ...

  Western philosophy and science have for the most part been committed to the Simplicity Theory of Truth: the simplest theory that accounts for the data is the true theory. (Theories are simplest which postulate the fewest entities, require the fewest hypotheses, generate predictions by the fewest calculations, etc.) ...

  If someone believes that the world is made for him to have dominion over and he is made to exploit it, he must believe that he and the world are so made that he can, at least in principle, achieve and maintain dominion over everything. But you can’t put things to use if you don’t know how they work. So he must believe that he can, at least in principle, understand everything. If the world exists for man, it must be usably intelligible, which means it must be simple enough for him to understand. A usable universe is an intelligible universe is a simple universe. ...

  And so it goes with the philosophy and the science of The Arrogant Eye.

  • Marilyn Frye, The Politics of Reality: Essays in Feminist Theory (1983), p. 67, 71

• Nobody knows how many universes there are. Theory places no limit: any and all possibilities in unlimited number of combinations of "natural" laws, each sheaf appropriate to its own universe. But this is just theory and Occam's Razor is much too dull.
  • Robert A. Heinlein in Glory Road, (1967), Ch. 17.

• The principle of simplicity is the central theme of Ockham’s approach, so much so that this principle has come to be known as “Ockham’s Razor.” Ockham uses the razor to eliminate unnecessary hypotheses.
  • Sharon Kaye, in "William of Ockham" at the Internet Encyclopedia of Philosophy

• Numquam ponenda est pluralitas sine necessitate.
  • Plurality is never to be posited without necessity.
  • This principle is commonly known as Occam's Razor.
  • William of Occam, Quaestiones et decisiones in quattuor libros Sententiarum Petri Lombardi (ed. Lugd., 1495), i, dist. 27, qu. 2, K.

• There never was a sounder logical maxim of scientific procedure than Ockham's razor: Entia non sunt multiplicanda praeter necessitatem. That is to say; before you try a complicated hypothesis, you should make quite sure that no simplification of it will explain the facts equally well. No matter if it takes fifty generations of arduous experimentation to explode the simpler hypothesis, and no matter how incredible it may seem that that simpler hypothesis should suffice, still fifty generations are nothing in the life of science, which has all time before it; and in the long run, say in some thousands of generations, time will be economized by proceeding in an orderly manner, and by making it an invariable rule to try the simpler hypothesis first. Indeed, one can never be sure that the simpler hypothesis is not the true one, after all, until its cause has been fought out to the bitter end. But you will mark the limitation of my approval of Ockham's razor. It is a sound maxim of scientific procedure. If the question be what one ought to believe, the logic of the situation must take other factors into account. Speaking strictly, belief is out of place in pure theoretical science, which has nothing nearer to it than the establishment of doctrines, and only the provisional establishment of them, at that. Compared with living belief it is nothing but a ghost. If the captain of a vessel on a lee shore in a terrific storm finds himself in a critical position in which he must instantly either put his wheel to port acting on one hypothesis, or put his wheel to starboard acting on the contrary hypothesis, and his vessel will infallibly be dashed to pieces if he decides the question wrongly, Ockham's razor is not worth the stout belief of any common seaman. For stout belief may happen to save the ship, while Entia non sunt multiplicanda praeter necessitatem would be only a stupid way of spelling Shipwreck. Now in matters of real practical concern we are all in something like the situation of that sea-captain.
  • Charles Sanders Peirce, Pragmatism and Pragmaticism, Lecture II : The Universal Categories, §3. Laws: Nominalism, CP 5.60, delivered in Cambridge, Massachusetts (26 March - 17 May 1903).