Metaphysics is the thoroughly empirical science. Every item of experience must be evidence for or against any hypothesis of speculative cosmology, and every experienced object must be an exemplar and test case for the categories of analytic ontology. Technically, therefore, one example ought for our present theme to be as good as another. The more dignified examples, however, are darkened with a patina of tradition and partisanship, while some frivolous ones are peculiarly perspicuous. Let us therefore imagine three lollipops, made (...) by a candy man who buys sticks from a big supplier and molds candy knobs on them. Lollipop No. 1 has a red round peppermint head, No. 2 a brown round chocolate head, No. 3 a red square peppermint head. The circumstance here which mainly provokes theories of subsistence and inherence is similarity with difference: each lollipop is partially similar to each other and partially different from it. If we can give a good account of this circumstance in this affair we shall have the instrument to expose the anatomy of everything, from an electron or an apple to archangels and the World All. (shrink)
If a bit of perceptual behavior is a trope, so is any response to a stimulus, and so is the stimulus, and so therefore, more generally, is every effect and its cause. When we say that the sunlight caused the blackening of the film we assert a connection between two tropes; when we say that Sunlight in general causes Blackening in general, we assert a corresponding relation between the corresponding universals. Causation is often said to relate events, and generally speaking (...) any event is a trope: a smile, a sneeze, a scream, an election, a cold snap, a storm, a lightning flash, a conspiracy, perhaps a wave, and so on up to such big and important events that they have proper names, like the Passover and Lulu the H-bomb explosion. We have called a trope a "case" of its universal, while the universal is the "kind" of the trope, so it is no surprise that a medical "case" is a trope--in the sense, at any rate, in which a person is said to have a case of typhoid fever rather than to be a case of it. A high-school boy, uncoached, has assured me, "Of course there's such a thing as Redness--this pencil has a case of it." When a scientist reports a temperature or a velocity or a viscosity he is reporting a trope--not a universal, because it is a once-for-all occurrence, but not a concrete thing either, though doubtless a component of one. He is likely to call it an "aspect" of the thing or, preferably, a "state," and generally speaking a "state" of a thing or a nation is a trope. Recent developments in sub-atomic physics, a none too reliable oracle, suggest that an electron, e.g., just is an existent state, and that the common-sense philosophy of concreta here abdicates altogether in favor of the trope. (shrink)
A classic defense of the rationality of induction. Williams argues that induction (conceived as inference from sample to population in general) is justified by the proportional syllogism (direct inference), the argument form "Probably if most As are Bs and this is an A, then this is a B." It is a necessary mathematical fact that the vast majority of large samples of a population nearly match the population in composition (e.g. if they have an unknown proportion of black and white). (...) Therefore if a large sample is taken, it probably matches the population; that is, probably the population nearly matches the sample. Hence sample-to-population inference is (probabilistically) logically justified. (shrink)
My main thesis is that the necessary and its necessity are factual, or matters of fact, in the sense that they are realities on the same ontic plane or planes with any other beings there may be, physical, phenomenal, or Platonically transcendent, and are no more creatures of thought and speech than dogs and gravity are; if I think they are all physical actualities, this is only because I think everything is. I have a second thesis, however, which is that (...) the realities objectively characterized by necessity are "facts" in the more special sense in which we say it is a fact that the earth is round but not that the earth is a fact or that roundness is a fact. It is fashionable to declare that necessity and contingency pertain only to statements, judgments, or "propositions"; and though the popularity of this is due, I am afraid, to what is false in it, namely, its subjectivism, its philosophic force is due to a covert truth, that necessity can qualify nothing short of the states of affairs which make statements or judgments necessarily true. Any shifts that can avoid the admission of facts in general as first-class members of the universe can provide for what I shall say of necessary facts, but meanwhile the worth of the category will be so proving itself that I cannot foresee abandoning it, and it is all I shall be meaning hereinafter by the word "facts.". (shrink)
2. In the first place, the term "power" is used to refer to processes which are held to go on at particular times, and to be accessible to direct experience. It is not clear to me why our experiences of activity are not "explicit", or why they are not to be regarded as manifested to the senses ; but possibly these assertions could be defended on the ground that the experiences in question are phenomenologically distinctive in some way.
Argues against G.E. Moore's thesis that "good" is unanalysable. Consulting the dictionary ("more illuminating than many volumes of rational axiology"), Williams concludes that the fundamental meaning of "good" is being in accord with my purposes. That does not rule out a search for some highest good that will unify my purposes.