Tautology 4: What is a tautology? 26 Aug 2009 So, what is the problem, philosophically speaking, with something in science being a tautology? The term has a particular meaning in the philosophy of science, and it is worth distinguishing the semantic from the logical here. A semantic tautology is basically a definition. The Oxford English Dictionary defines it as a. A repetition of the same statement. b. The repetition (esp. in the immediate context) of the same word or phrase, or of the same idea or statement in other words: usually as a fault of style. The core of the criticism against natural selection is that it is a logical tautology, which amounts to it being an a priori truth (which most philosophers now deny exist, anyway). In logic, a tautology is defined differently, and I quote: A sentence ? is tautologous (or it is a tautology) if and only if it is assigned a truth-value T by every normal assignment of truth-values T and F to the sentences of L. Further, a sentence ? is a tautological consequence of a set of sentences ? if and only if ? is assigned the truth-value T by every normal assignment that assigns the truth-value T to all sentences of ?. [Benson Mates, Elementary Logic, second edition, page 89.] Shorn of the logic-speak, it basically means that a sentence (not a phrase like “survival of the fittest” is a tautology if it is always true in some formal language L, and it is a tautologous consequence if it always gets assigned “true” in some set of sentences. The OED defines it more simply: f. Mod. Logic. A compound proposition which is unconditionally true for all the truth-possibilities of its elementary propositions and by virtue of its logical form. and assigns the first usage to Russell in 1919 (pp 203, 205). For our purpose, this would mean that the Darwinian evolution by natural selection – call it NS – has “survival of the fittest defines fitness” as true no matter what else the theory of evolution says, under every interpretation, and, as Gould points out in his “Darwin’s Untimely Burial” essay, this simply isn’t the case. There are organisms with traits that are clearly not fit, and we can debate on empirical grounds whether traits are fit or not and why. What is it about the logical tautology that is objectionable? Basically it is this: if NS is always true in the theory, then it is immune to falsification. This is why Popper took his original stance. For him, the very core of a scientific theory was that it could be falsified, so if anything cannot be, it is simply not science. Popper thought that NS was science, and so he had to find an accommodation, which he did with his “metaphysical research program”. But nowadays we do not take Popper at his word. Science is regarded once again as a field in which testing statements and theories is both falsificationist, and verificationist, and neither, but merely a matter of establishing Bayesian likelihoods. So a principle can be something we gain confidence in as it “proves out” in experience without needing to go to the extreme lengths of the Positivists or the Popperians and find logical verification or falsification. Science is not the practice of classical logic. As Maynard Smith once said, in a source I cannot now find, there’s nothing wrong with a bit of tautology in a mathematical system; every mathematical model must have them. So why should we now think that a tautology is problematic? The answer is, I think, dependent upon whether you think the tautology is useful or not. A “useless” tautology is one that is obvious (Brady 1979), whereas a “useful” tautology allows us to bring out the implications of the structure of a model and its implications. It is far from trivial, even if it is a truism and tautology, that natural selection can bring about a change in the overall makeup of a population. It is so far from being trivial that even though it had, in one form or another, been used to explain a lack of change for over 2500 years, selection-type explanations had not been used to explain change until Darwin suggested it. The equations that model natural and sexual selection have deep implications, which are very useful and often surprising. Another problem with calling something a tautology rests on the notion of an a priori truth. Traditionally in logic and philosophy there were supposed to be some truths that were true by definition. One such is the statement “A is A“. A priori truths had a special place in reasoning, went the view, because they were accessible to all who reasoned, as the example of Plato “guiding” a slave boy to prove a theorem of geometry was supposed to show. Since the middle of the twentieth century, however, analytic and other philosophers have come to conclude that the notion of “analyticity” or a priori knowledge is mistaken. If this is now the consensus, why should anything be regarded as a tautology in the sense of an a priori truth? Pragmatists have been saying something like this since Peirce, but given that pragmatism is roughly Darwinian theory in epistemology anyway, that might also be seen as question begging. References Brady, Ronald H. 1979. Natural Selection and the Criteria by which a Theory is Judged. Systematic Zoology 28 (4):600-621. Mates, Benson. 1972. Elementary logic. 2nd ed. New York: Oxford University Press. Russell, Bertrand. 1919. Introduction to mathematical philosophy. London; New York: G. Allen & Unwin; MacMillan & Co. Epistemology Philosophy
Academe Why philosophers should publish in science journals 16 Feb 2011 Generally my papers cause a mild reaction – like a dose of poison ivy. But i just had a paper published in Zootaxa, a mild mannered systematics journal, and as well as a two week turnaround, unheard of in philosophy (my last big paper took a year and a half),… Read More
Evolution Philosophy and evolution 19 May 2009 Over the past 50 years or so, there have been many attempts to give a general metaphysics of evolution, ranging from axiomatisation (by Mary Williams, at the height of the “theories are axiomatic systems” period*), to “logical necessity” cases (such as Lewontin’s three conditions for natural selection), to “units of selection” arguments, most closely associated with George Williams and RIchard Dawkins. In each of these, and other, attempts, there has always been the presumption that there is a fixed hierarchy of ranks and units in biology. These are the “forms” of biology: replicators, interactors, species, genes, cells, and so on. The odd thing about this is that as people were asserting that essentialism is dead (see the article on species linked above), they were being essentialists about concepts and units and ranks. Ernst Mayr, for example, who asserted that species individually (the species taxon, as he put it) have no essences, nevertheless asserted that the concept of species (the species category) did so. He was an essentialist about the species concept. Likewise, the gene centrism of a Dawkins is essentialist about the replicator concept. And so on. Now one of the reasons why people adopted the hard and fast categories is that they usually were specialists in groups, such as mammals, birds or insects, where these categories had a real purchase. This is often referred to, mostly by botanists, as the “fur and feathers” or “vertebrate” or just “animal” bias. But another is just that they were seeking what used to be called the Characteristica Universalis, or the most general universal and formal language for the domain in question. It is a general disposition of those in the west to do this (and despite suggestions to the contrary, I cannot see how one might apply the Eastern metaphysics fruitfully in the domain of science). It is a constant temptation to try to ground ideas in unchanging and agential categories. We like species because they do something. We like replicators because they are the ultimate doers. These categories apply in ways that make sense of both the world, and our need for constancy. Coherence is not gone. Until you stop focussing on the “obvious” cases, and start paying attention to as many as you can find. I have what I call the “esoteric method”: look for cases that don’t fit the current categories and then go look and see if that is more general than you might think. For example, in his 1942, Ernst Mayr referred to nonsexual organisms as “aberrant” when discussing the adequacy of his “new” “biological” species concept (122, 129). Today we know that not only are most organisms not sexual, which would mean most of them are not arrayed in species, but that the sexuality of species even in the small twig of the phylogenetic tree that is metazoans is not constant: many groups have either got hybridisation, or asexuality, or both. Nor is gene exchange confined to sexual species – between species gene flow is common, and even among asexuals lateral transfer is frequent. In fact the sort of species Mayr expected to exist are rare, except among some groups of vertebrates (oddly, the group Mayr studied, birds, often hybridise). Over the past 50 years these essentialistic categories have become harder and harder to support empirically, as we have learned of more and more exceptions. Some, such as John Dupré, have argued for a pluralism of conceptions in biology due to the polytypic nature of the instances to which these categories are applied. It’s just a brute fact of biology that none of these categories are universal, and so biologists must avail themselves of whatever conception works in a particular case (to make this more concrete: species are sexual isolates when that works, but in, say, bacteria, they are phenetic clusters or something else). Some years ago, I published an idea that I think might be the resolution to this (2003) in which I argued that species is like any other property of organisms, something that has evolved in its own way. The reason there is no universal notion of species for the same reason there is no universal notion of leg: species, like legs, are the outcome of evolution. In other words, these kinds themselves evolve. This applies also to other apparently universal aspects of biology: genes, or rather replicators, cells, individuals, and so on. It is not the case that, as Dupré thinks, that anything goes, but that there are evolved modalities, as I called them – ways of being whatever it is that we are trying to understand. This applies not only to the organisms and their traits, but to the kinds of organisms, and even to the kinds of kinds. Taxa, units, ranks, entities, systems – all these are evolved, and so to understand what it means to be, say, a bird species or a eukaryote gene, you need to understand the evolutionary relations of that group. Last year, Peter Godfrey Smith published an interesting book that argues that the sole precondition for a Darwinian perspective on the world is that there are populations. Because we are disposed to see biology in terms of agency, we want agents, but that is, PGS holds, a remnant of the oldthink of teleology that Darwinism replaced. I think he’s well on the right track, although he still thinks that this means we cannot have types or classes. I think that classes are merely local and evolved. We are in a reading group covering his book right now, so as we work through it, I’ll probably add some more. One thing I do want to say now, though, is that there is a prior problem knowing what a population is. For instance, to know that an ensemble of individuals form a population, you need, minimally, to show they are of the same species because you don’t get a population that spreads across two or more species, unless they are causally connected reproductively (in which case they might be classed as the same species anyway). Moreover, you already need to know the sort of object/organism that counts as an individual for that group in order to identify it as a population. This is not always so easy, in the case of colony organisms. While PGS is rightly arguing that there are no ranks or special units, only populations (which comprise individuals that have heredity and ecological differences, leading to evolution**), it seems to me that he still requires there to be some sort of types or equivalence classes, even if there are no universal kinds of types. In part, this is something that comes out of the death of the essentialism story: it is often assumed that if one abandons essentialism, one loses access to any kind of equivalence class in biology (i.e., natural kinds; we aren’t worried about conventional classes or functionally defined classes), and that is what PGS assumes too. But it is my view that biology always uses types, which are defined or rather ostended by identifying an exemplar and then looking for clusters of properties. This is what PGS says we should be doing, but he does not see these as types. I do. By finding these clusters of properties (and even more the underlying developmental traits and heredity), we are then able to determine what a population is, and what individuals are, by a process of iterative induction (start with a case that is presumably exemplary and then make inductive generalisations from that until they fail). What bothers people who think in terms, not of binaries as Chris Schoen suggested, but of absolute levels or entities that do not change, is that evolution leaves us gasping and dealing with vague boundaries, shifting kinds and so on. I feel for them, but it is really biology that does this, and always has. What really is novel about evolutionary thinking is that we know not only that the appearances change, but that the forms, and the forms of forms also change. However hard to come to grips with, we must. And the solution to this vagueness is phylogenetic thinking. If you know where a species or an organism is placed on an evolutionary network (allowing for the moment that the tree topology sometimes fails), then you know what sorts of sorts it will fall into, or if you find that it doesn’t, that sets up an interesting research project. More as it occurs to me. * Williams was a student of the originator of the Axiomatic Method for the sciences, Joseph H. Woodger. ** Evolution includes a lack of change by stabilising selection or developmental entrenchment (which I think may be a subset of the former). We need not presume that selection always causes change (but if there is a lack of change, I think we should presume that is due to selection). Read More
Humor Actually… 21 Sep 2009 … I know a lot of philosophers who can do math and physics (and some have PhDs in both physics and philosophy). See more comics from Calamities of Nature Read More
“There are organisms with traits that are clearly not fit, and we can debate on empirical grounds whether traits are fit or not and why.” Can someone show me the empirical grounds of establishing the why? It’s all well to say that sharper beaks ? access to tougher seeds ?more food ? more mating opportunities ? more sharp beaks. But imagine running an enormous E. coli -type experiment involving thousands of generations of two populations exposed to the same environmental pressures. One can imagine finding that stronger necks that generate more thrust ? more mating opportunities ?…more finches with stronger necks. The statement “sharper beaks cause their own relative increase in environment X” is equally as true as “sharper beaks do not cause their own relative increase in environment X”. Thus, when a population of finches exhibit sharper beaks, can we still use “fitness” as a non-circular explanation? If causes are partial and contingent, are they causes at all? signed, over my head but having fun,
A couple of examples that come to mind are the famous moths – we could see the birds preferentially taking the light morphs – and another being the lowered hybrid fitness of a lizard that is a crossbreed between those coloured to camouflage on rocks, and those coloured for sand. The hybrids stand out on both substrates, and again we see them being predated. In both cases there is a physical causal explanation. As to partial causes, I am not sure what that might be. A cause is a determination of the outcome. A class of causes might be partial, but an actual cause cannot.
inre lizards and moths: aren’t these simply examples of the transitional nature of NS? NS still holds true if, presumably, thousands of years down the line the hybrid lizards and light morphs will eventually have given way to their “fitter” cousins. However, if something cataclysmic occurred that by chance alone, rather than a bias based on genetic variation, wiped out the pure lizards leaving the crossbreeds to prosper, can we say that NS has been falsified?
Just a very quick comment that doesn’t do justice to your 4 post series: last year in our uni discussion group, we read the paper Against Darwinism by Fodor (and a nicely-caustic reply by Dennett). Basically Fodor had the same kinds of objections, but he took it further to say that this means there cannot be an adaptationist explanation for anything in principle, that it’s all post hoc. I was just wondering if you’ve seen his line of argument? He’s apparently now working on a book length “philosophical demolition” of “Darwinism” and I’m already cringing…
Ah, great. I’ve found his one to be a bit like the ontological argument — it’s very wrong but it’s hard to point out the exact flaw.
If you, as a novice god experimenting with universes, were given a “chemistry set” equivalent to our chemistry, could you deduce that what we call evolution and natural selection would occur under some special conditions, just based on knowledge of basic chemical interactions alone? You might be able to gain knowledge of more rudimentary things like gas laws or motion/force/acceleration in this way (like Newton) with minimal observation, but the only way to gain evolutionary knowledge is by observing it happening, and making post-hoc inferences and rationalizations about selection. It happened because… well, it happened. In this sense, existence itself is a tautology. Why does an electron or a universe exist? It exists because it exists. But perhaps the curious thing for many is why this tautology is manifest at such a relatively macroscopic level – where we are used to having a “why” for everything – rather than under extreme conditions where one is accustomed to unconventional thinking, such as the QM level, or origin-of-universe singularities. As for causality: If you reduce human understandable events to the molecular level and explain natural selection causality that way, then you are left with the problem of how to organize all those aggregate environmental and individual molecular patterns (occurring in both extended space and time) into higher-level meaningful constructs. Do you really think that your high-level grasp of causality is the only one? Do you really think that the human brain is the ultimate way of doing this mapping, and that higher interpretations are not possible – that the deepest of your abstract thoughts are not merely footnotes in a (higher being’s) larger apprehension? Even assuming the completeness of reductive physicalism, that would be the height of arrogance indeed, and would leave no room for further mental evolution. And even on the low end, to causally explain the behaviour of molecular interactions, you must keep reducing until you can’t anymore, and at the lowest possible level, you are still left with two or more concepts that may be “correlated” 100%, but with no real way to prove causation (if “causation” is even meaningful at that level). It is that way, because it is that way. As far as ultimate causation is concerned, you are back in the same boat you were at the macroscopic level: you observe object A collide with object B, perceive any correlated behaviour to the best of your human ability, and you make inferences about “causation”.
I actually have no particular problem with the tautological claim. I also recall someone (perhaps with reference to Maynard Smith, but it wasn’t him – maybe Jared Diamond?) stating something to the effect that all good scientific theories are a recognition of a tautology. And Darwin’s main argument for evolution is to an extent true by definition: if you have excess reproduction and heritable difference you will get selection. That selection will be towards “fitness” if the environment and the inheritance is reasonably stable. The existence of convergent evolution tells us that in fact both are reasonably stable.
Another thing that occurs to me: causality in general seems to require that the presentist view of time be correct. There has to be a “now” for something to cause something else. I can’t see how anything causes anything else in the block time model, where events are correlated based on relative distance from each other. In block time, “natural selection” is just a name for a reoccurring type of event pattern on the macroscopic scale.