Online research in philosophy

Abstract It is argued that psychological explanations involve psychological generalizations that exhibit the same features as laws of physics. On the basis of the ?systematic theory of lawhood?, characteristic features of laws of nature are elaborated. Investigating some examples of explanations taken from cognitive psychology shows that these features can also be identified in psychological generalizations. Particular attention is devoted to the notion of ?ccteris?paribus laws?. It is argued that laws of psychology are indeed ceteris?paribus laws. However, this feature does not distinguish them from the laws of physics, because such laws are found in physics as well. Moreover, the laws invoked in psychological explanations are genuine laws of psychology; they are not laws of other disciplines that are brought to bear on psychological problems. The conclusion is that if there are laws of physics then laws of psychology exist as well.

David Lewis[ii] has long defended an account of scientific law acceptable even to an empiricist with significant metaphysical scruples. On this account, the laws are defined to be the consequences of the best system for axiomitizing all occurrent fact. Here "best system" means the set of sentences which yields the best combination of strength of descriptive content[iii] with simplicity of exposition. And occurrent facts, the facts to be systematized, are roughly the particular facts about a localized space-time region that are non-modal, non-dispositional, and non-causal.

The law-governed world-picture -- A remarkable idea about the way the universe is cosmos and compulsion -- The laws as the cosmic order : the best-system approach -- The three ways : no-laws, non-governing-laws, governing-laws -- Work that laws do in science -- An important difference between the laws of nature and the cosmic order -- The picture in four theses -- The strategy of this book -- The meta-theoretic conception of laws -- The measurability approach to laws -- What comes where -- In defense of some received views -- Some assumptions that will be in play -- The laws are propositions -- The laws are true -- The logically contingent consequences of the laws are laws themselves -- At least some laws are metaphysically contingent -- The meta-theoretic conception of laws -- Laws of nature, laws of science, laws of theories -- The first-order conception versus the meta-theoretic conception -- What is a law of nature? -- Some examples of meta-theoretic accounts -- The virtues of the meta-theoretic conception -- Weighing the virtues and shortcomings of the meta-theoretic conception -- An epistemological argument for the meta-theoretic conception of laws -- The discoverability thesis, the governing thesis, and the first-order conception -- The main argument -- The objection from bad company -- The objection from inference to the best explanation -- The objection from bayesianism -- The objection from contextualist epistemology -- The objection from the threat of inductive skepticism -- Laws, governing, and counterfactuals -- Where we are now -- What would things have to be like in order for the laws of nature to govern the universe? -- Lawhood, inevitability, counterfactuals -- What is it for a proposition to be inevitably true? -- What is it for a whole class of propositions to be inevitably true? -- What is it for lawhood to confer inevitability? -- NP and supporting counterfactuals -- The worry about context-variability -- A solution and a look ahead -- When would the laws have been different? -- Where we are now -- The God cases -- Other counterexamples to NP -- A moral-theoretic counterexample to NP -- Scientific contexts and non-scientific contexts -- Scientific God cases? -- Lewisian non-backtracking counterexamples -- Where things stand now -- How could science show that the laws govern? -- Why the law-governed world-picture must include the science-says-so thesis -- What is extra-scientific? -- How can the science-says-so thesis be true? -- NP as a consequence of the presuppositions in any scientific context -- Np as true in all possible scientific contexts -- But how could it be so? -- Attack of the actual-factualists -- Measurement and counterfactuals -- Where we are now -- Measurements, reliability, counterfactuals -- A general principle that captures the relation between measurement and counterfactuals -- What we can learn about lawhood from what we have learned about the counterfactual commitments of science -- A first-order accoun

Some scientists try to discover and report laws of nature. And, they do so with success. There are many principles that were for a long time thought to be laws that turned out to be useful approximations, like Newton’s gravitational principle. There are others that were thought to be laws and still are considered laws, like Einstein’s principle that no signals travel faster than light. Laws of nature are not just important to scientists. They are also of great interest to us philosophers, though primarily in an ancillary way. Qua philosophers, we do not try to discover what the laws are. We care about what it is to be a law, about lawhood, the essential difference between something’s being a law and something’s not being a law. It is one of our jobs to understand lawhood and convey our understanding to others.

The 'best-system' analysis of lawhood [Lewis 1994] faces the 'zero-fit problem': that many systems of laws say that the chance of history going actually as it goes--the degree to which the theory 'fits' the actual course of history--is zero. Neither an appeal to infinitesimal probabilities nor a patch using standard measure theory avoids the difficulty. But there is a way to avoid it: replace the notion of 'fit' with the notion of a world being typical with respect to a theory.

The 'best-system' analysis of lawhood [Lewis 1994] faces the 'zero-fit problem': that many systems of laws say that the chance of history going actually as it goes--the degree to which the theory 'fits' the actual course of history--is zero. Neither an appeal to infinitesimal probabilities nor a patch using standard measure theory avoids the difficulty. But there is a way to avoid it: replace the notion of 'fit' with the notion of a world being typical with respect to a theory.

If we are on the outside, we assume a conspiracy is the perfect working of a scheme. Silent nameless men with unadorned hearts. A conspiracy is everything that ordinary life is not. It’s the inside game, cold, sure, undistracted, forever closed off to us. We are the flawed ones, the innocents, trying to make some rough sense of the daily jostle. Conspirators have a logic and a daring beyond our reach. All conspiracies are the same taut story of men who find coherence in some criminal act.

In recent work on the foundations of statistical mechanics and the arrow of time, Barry Loewer and David Albert have developed a view that defends both a Best System account of laws and a physicalist fundamentalism. In this paper I argue that there exists a tension between their account of laws, which emphasizes the pragmatic element in assessing the relative strength of different deductive systems, and their reductivism or fundamentalism. If we take the pragmatic dimension in their account seriously, then the laws of the special sciences should be part of the best system as well.

Suppose that unobtanium-346 is a rare radioactive isotope. Consider: (1) Every Un346 atom, at its creation, decays within 7 microseconds (µs). (50%) Every Un346 atom, at its creation, has a 50% chance of decaying within 7µs. (1) and (50%) can be true together, but (1) and (50%) cannot together be laws of nature. Indeed, (50%)'s mere (non-vacuous) truth logically precludes (1)'s lawhood. A satisfactory analysis of chance and lawhood should nicely account for this relation. I shall argue first that David Lewis's Humean picture accounts for this relation only by inserting this relation ‘by hand’. Next, I shall argue that this relation between law and chance also threatens a radically non-Humean picture of laws and chances. Finally, I shall offer an account of natural law that nicely explains the relation between chancy facts and deterministic laws. This explanation is not ad hoc because it derives the relation from the very same features of lawhood that account for the laws' special relation to counterfactuals and explain how the laws (unlike the accidents) possess a variety of necessity. The reason that a chancy fact such as (50%) keeps (1) from being a law, without keeping (1) from being true, is ultimately that a chancy fact constrains the subjunctive facts and (1)'s lawhood, unlike (1)'s truth, depends upon the subjunctive facts.

David Lewis has proposed an analysis of lawhood in terms of membership of a system of regularities optimizing simplicity and strength in information content. This article studies his proposal against the broader background of the project of Humean supervenience. In particular, I claim that, in Lewis's account of lawhood, his intuition about small deviations from a given law in nearby worlds (in order to avoid backtracking and epiphenomena) leads to the conclusion that laws do not support (certain) counterfactuals and do not bestow nomic necessity on (certain) facts induced by these laws. Support of counterfactuals and nomic necessity, however, are widely held to be important aspects of the concept of lawhood. In my view, therefore, it is not possible to abandon these criteria in any satisfactory analysis of the notion of laws of nature. In a final section, I suggest that the whole project of Humean supervenience is misleading. It does not sufficiently take notice of the important role that reasoning about contrary-to-fact situations plays in modern scientific practice.