Questions: 'Laws of Nature: Necessity vs. Regularity'

Question 1

Both 'All copper conducts electricity' and 'All the coins in my pocket are silver' happen to be true universal generalizations. Which analysis best distinguishes why the first is a law and the second is an accidental generalization?

• A. The first has been confirmed by many more instances, making it more probable and therefore a law
• B. The first describes a microscopic property while the second describes a macroscopic one — only microscopic regularities can be laws
• C. On the Best Systems Analysis, the first appears as an axiom in the simplest and strongest systematization of all facts, while the second is not needed in any such theory — laws are not defined by confirmation counts but by their role in the best theory
• D. The first is a law because copper is a natural kind; coins are not natural kinds, so generalizations about them cannot be laws

Answer: (C)

The Best Systems Analysis (Mill-Ramsey-Lewis) is the most developed Humean account. The key criterion is not how many instances have been observed, but whether the generalization earns its place in the optimal systemization of all facts — the theory that best balances simplicity (few axioms) and strength (covers many facts). 'All copper conducts' fits into the theory of electromagnetism and materials science; 'all coins in my pocket are silver' is a contingent accident of one person's wallet that no theoretical system needs. Option A is the naive 'more instances = law' confusion that the philosophical analysis is designed to overcome.

Question 2

A Non-Humean philosopher argues: 'If laws of nature were merely regularities, then explaining why this piece of copper conducts by saying all copper conducts would be circular — we would be explaining an instance by simply redescribing the pattern.' What is the point of this objection?

• A. The objection shows that Humeans cannot account for any observations at all, since all explanations would be circular
• B. Genuine scientific explanation requires that the explanandum had to happen — necessitation between universals (F necessitates G) does genuine explanatory work that bare regularities cannot, because it tells us why the instance falls under the pattern rather than merely that it does
• C. The objection is wrong — regularities are perfectly adequate for explanation because science does not need to explain why regularities hold
• D. The Non-Humean is confusing deductive-nomological explanation with causal explanation

Answer: (B)

The Non-Humean's objection targets the explanatory adequacy of regularity views. If a law is just the generalization 'all F's are G,' then explaining why this F is G by citing the law is circular: we are saying 'this F is G because all F's are G,' which merely restates the pattern without saying why the pattern holds or why this case participates in it. The Non-Humean response is that laws express necessitation between universals — the property F metaphysically necessitates G — so the explanation says that this F has to be G because of the nature of F-ness and G-ness. This adds genuine modal content that the regularity view lacks.

Question 3

On the Best Systems Analysis, a generalization counts as a law not because of any intrinsic property it has (like expressing necessity), but because of its role in the optimal balance of simplicity and strength across all particular facts.

• T. True
• F. False

Answer: True

This is the defining feature of the Humean Best Systems Analysis. Laws are extrinsically defined — they have the status of laws because of their position in the best theoretical systematization, not because they have an intrinsic modal or necessitation property. Two worlds with exactly the same particular facts would have exactly the same laws (since the best system is determined by those facts). This is what makes it Humean: there is nothing 'over and above' the pattern of particular facts; laws supervene on them entirely.

Question 4

Humean regularity views hold that laws of nature are metaphysically necessary truths — they could not have been otherwise — which explains why they support counterfactuals more reliably than accidental generalizations.

• T. True
• F. False

Answer: False

This is precisely backwards. Metaphysical necessity is the Non-Humean position. Humeans deny that laws are necessary: they are contingent regularities — the world could have been otherwise, and the laws would have been different. For Humeans, counterfactual support comes not from necessity but from the law's role in the best system: we project the law to counterfactual cases because it is part of our best theory, not because it could not be violated. The Non-Humeans (Armstrong, Dretske, Tooley) are the ones who claim laws express genuine necessitation between universals and are therefore more than contingent regularities.

Question 5

What is the central difference between Humean regularity views and Non-Humean necessitation views of laws of nature? What can each view explain that the other struggles with?

Model answer: Humean views hold that laws are nothing over and above stable regularities — the best descriptions of what actually, universally happens. Non-Humean views (the necessitation view) hold that laws express genuine metaphysical necessities: relations between universals that make instances have to occur as they do. Humean views excel at metaphysical economy — they require no entities beyond particular facts — and align with an empiricist epistemology (we observe regularities, not necessities). But they struggle to explain why regularities support counterfactuals and justify induction, and why explaining an event by citing a law is not circular. Non-Humean views provide a richer explanatory structure (necessitation genuinely explains why events have to happen) and a clear basis for counterfactuals, but require commitment to abstract entities (universals and necessitation relations) that are metaphysically costly and epistemically problematic — we never directly observe necessitation.

The tradeoff is between ontological parsimony (Humean: laws are patterns) and explanatory richness (Non-Humean: laws are necessities). The debate has stakes beyond metaphysics: it shapes how we understand scientific explanation (does citing a law explain or redescribe?), the justification of induction (why project past regularities into the future?), and intertheoretic reduction (is reduction between theories a matter of finding correlating regularities or identifying genuine necessities?). Neither view has achieved consensus, and the debate remains live in contemporary philosophy of science.