Category Archives: Fallacies of Relevance

Facticity

That's actually a word, but it's not particularly related to what I will say here.  

Last week George Will wrote a column sufficiently full of outright falsehoods–non facts as it were–such that people all over were demanding retractions, corrections, etc.  Rightly so, as the falsehoods were fairly egregious (it wasn't just forgetting who argued that philosophy is preparation for dying).  He completely misrepresented research on global warming in order to claim that it wasn't happening.  Strangely enough, the Washington Post has issued nothing by way of a retraction, and they have claimed that the column made it through their multi-layered editing and fact-checking process.  So much the worse for them.  Click here for a discussion of the factual errors, and here for our original post.

There is something slightly odd about the whole matter, however.  He got some facts wrong.  So did Bill Kristol (formerly of the New York Times now–get this–of the Washington Post).  People screamed about that as the height of sloppiness.  Which it is.  But op-ed columnists do not really deal primarily in facts anyway.  They deal primarily in arguments–the argumentative ones at least (which is mostly the conservative ones by the way–don't know why that is, it just is). 

Arguments are one part fact, one part inference.  As a matter of fact, they're mostly inference.  Getting facts wrong is bad, but I think it is a comparably less egregious problem than repeatedly authoring crappy, to use a technical term, arguments.  For the sake of clarity, a crappy argument is one whose conclusion likely wouldn't follow even if they premises were true.  Seems to me that if one repeatedly makes these sorts of arguments, then one's getting the occasional fact wrong is a comparatively minor problem–easily correctable by a (competent) fact checker.

Correcting crappy arguments is rather more difficult, as many lay people don't seem to have a good idea what a crappy argument is.  Many lay people think that pointing out an argument's crappiness, in fact, is a kind of crappy argument.  I think someone–maybe me, maybe our Australian friends–suggested a name for this–the fallacy fallacy fallacy (the fallacy of thinking pointing out fallacies is a fallacy of some sort).  It takes some amount of training to point out sophistries.  But it's at least as important if not more than the pointing out errors of fact.  So I'd like to propose that the Post, in addition to hiring a new fact-checker (not one paid by George Will–seriously, he's got like two of them), hire a kind of sophistry checker.

That way we wouldn't be subjected to things like this (from Will's column yesterday):

Although liberals give lip service to "diversity," they often treat federalism as an annoying impediment to their drive for uniformity. Feingold, who is proud that Wisconsin is one of only four states that clearly require special elections of replacement senators in all circumstances, wants to impose Wisconsin's preference on the other 46. Yes, he acknowledges, they could each choose to pass laws like Wisconsin's, but doing this "state by state would be a long and difficult process." Pluralism is so tediously time-consuming. 

The sophistry detector might say the following: Mr.Will, you're going to have be a lot more specific here.  In the first place, who are "liberals"?  Second, you're equivocating on "diversity."  "Liberals"–whoever the hell they are–can consistently be for one kind of diversity but not another.  Aside from this, "impose" seems to have a different meaning for you.  Feingold seems to be advocating a change in electoral procedure by democratic means–amending the Constitution.  Such an activity requires signifcant electoral participation and agreement.  One can hardly call that "imposing."

These, I think, are serious and egregious problems with just this one paragraph, yet none of them are factual problems in any direct sense. They do, however, make the argument here rather sucky.

Compound error

I read these things and shake my head:

Last week’s column about Denis Rancourt, a University of Ottawa professor who is facing dismissal for awarding A-plus grades to his students on the first day of class and for turning the physics course he had been assigned into a course on political activism, drew mostly negative comments.

The criticism most often voiced was that by holding Rancourt up as an example of the excesses indulged in by those who invoke academic freedom, I had committed the fallacy of generalizing from a single outlier case to the behavior of an entire class “Is the Rancourt case one of a thousand such findings this year, or it the most outlandish in 10 years?” (Jack, No. 88).

That's Stanley Fish, the New York Times' interpreter of the academic world.  Sounds like he has been accused of a hasty generalization in the form of "nutpicking."  I'm not particularly interested in the merits of the charge–Fish seems even to concede it.  One minor observation.  I'm sure we are all guilty at one point or another for reasoning that badly.  The difference is that Fish gets to air out his errors in the New York Times.  Anyway, he makes things worse as he defends himself.  He writes (following directly):

It may be outlandish because it is so theatrical, but one could argue, as one reader seemed to, that Rancourt carries out to its logical extreme a form of behavior many display in less dramatic ways. “How about a look at the class of professors who … duck their responsibilities ranging from the simple courtesies (arrival on time, prepared for meetings … ) to the essentials (“lack of rigor in teaching and standards … )” (h.c.. ecco, No. 142). What links Rancourt and these milder versions of academic acting-out is a conviction that academic freedom confers on professors the right to order (or disorder) the workplace in any way they see fit, irrespective of the requirements of the university that employs them.

Eegads!  "Carrying the behavior to its logical extreme" is the characteristic marker of the slippery slope.  And its supported by an alleged fallacy of accident: certain very jerky professors are going to interpret academic freedom very broadly, and, since they will allege this, there must be a logical connection between academic freedom and being a complete nitwit.  Well there isn't.  Just because the connection is alleged by some–how many, not many I would guess–does not mean the connection obtains.  What Fish has done, in other words, is compound the error of one fallacy (the hasty generalization nutpicking variety) with three more:the slippery slope, the fallacy of accident, and the implied hasty generalization again!

Phoning it in

George Will phones it in today with a boiler-plate global warming denying column.

There really isn't anything of interest in the column, though I found myself wondering why it is that the particular argument he recites have any probative relevance to the question of global warming.

The occasion for his cutting and pasting was some remarks by Secretary of Energy Chu on the likely disruption and ultimate disappearance of agriculture in California if global warming continues unchecked.

After blithely ignoring any evidence for Chu's claim, or even (of course) accurately representing them, Will trots out several predictions that proved, it seems, to be false: Global Cooling and Ehrlich's bet about the price of commodities.

Both have not come true, though one wonders whether it is the prediction itself that has failed to come true or the time-frame of the prediction. 

But, even if we assume that both of the underlying claims are false–that the earth was entering a cooling phase in the 1970's and that there will be shortages of non-renewable commodities in the future, what does that tell us about Chu's worries? Neither failure tells us anything about the degree to which we should trust climate science and the consensus around the general theory of anthropogenic climate change. They are essentially irrelevant.(What's the best description of these fallacies? Red Herrings?)

As global levels of sea ice declined last year, many experts said this was evidence of man-made global warming. Since September, however, the increase in sea ice has been the fastest change, either up or down, since 1979, when satellite record-keeping began. According to the University of Illinois' Arctic Climate Research Center, global sea ice levels now equal those of 1979.

Deniers love to claim that every local short term climate change is advanced as "evidence of man-made global warming," despite the frequent denials by climate scientists that the case rests on local short term climate variations. (Yes, the media often represents climate science this way, but that cannot be taken to be an accurate representaiton of climate science). Nevertheless, it provides a nice straw man for Will to defeat. 

An unstated premise of eco-pessimism is that environmental conditions are, or recently were, optimal. The proclaimed faith of eco-pessimists is weirdly optimistic: These optimal conditions must and can be preserved or restored if government will make us minimize our carbon footprints and if government will "remake" the economy. 

Seems to me that this is not an unstated premise, but a pretty explicit claim–that human life has come to thrive within a tiny window of climate variation and that it will not thrive if dramatic change occurs. This is a nice rhetorical move, but seems to be some sort of straw man as well.

Because of today's economy, another law — call it the Law of Clarifying Calamities — is being (redundantly) confirmed. On graphs tracking public opinion, two lines are moving in tandem and inversely: The sharply rising line charts public concern about the economy, the plunging line follows concern about the environment. A recent Pew Research Center poll asked which of 20 issues should be the government's top priorities. Climate change ranked 20th.

This paragraph just beggars even Will's limited rational capacities! The argument seems to be that  a short term calamity make you less concerned about long term calamities. It would seem to be true: if I break my leg, I will worry more about getting this healed, than lowering my cholesterol. But my elevated cholesterol may still be the thing that kills me in the long term. It isn't clear what Will thinks we should conclude from this, but all of the things I can conceive as possibilities, seem remarkably silly. I suppose that this is some sort of ad populum fallacy.

Real calamities take our minds off hypothetical ones. Besides, according to the U.N. World Meteorological Organization, there has been no recorded global warming for more than a decade, or one-third of the span since the global cooling scare.

The last claim–if it is true–might provide some reason to accept Will's cautioning. Perhaps someone can find this assertion here.

Generalissimus

In honor of Lincoln's birthday, a discussion of logic.  The other day on the Political Animal blog of the Washington Monthly, one of my favorite liberal blogs (it's a good blog, and it features a real philosopher), I encountered the following:

THE GOP MAINSTREAM…. Given the attention of late on the Republican all-tax-cut plans on the Hill, I thought it was pretty obvious what constitutes the GOP "agenda" when it comes to economic stimulus. And yet, John Cole flags this interesting complaint from Real Clear Politics' Jay Cost.

Who's arguing that "tax cuts alone" will solve this problem? Even if some are, is this the median position on the Republican side? Is this the position of the more moderate members of the GOP Senate caucus like Lugar, Voinovich, and Murkowski? How about moderate House Republicans like Kirk, LoBiondo, and Castle? We might count it as bipartisanship if Obama had picked up a few of them, but he didn't.

Cost was referring to a comment President Obama made during his press conference the other night, when he said, "[T]ax cuts alone can't solve all of our economic problems." To Cost, this was a straw-man argument, since it doesn't reflect "the median position on the Republican side."

I guess it depends on the meaning of "median."

In the House, 95% of the Republican caucus — 168 out of 178 — supported an all-tax-cut alternative to a stimulus plan that included spending and tax cuts. In the Senate, 90% of the Republican caucus — 36 out of 40 (with one abstention) — did the exact same thing. We can quibble about where the "median" is, exactly, but with these ratios, there are only so many ways to stretch the definition of the word.

Indeed, Cost's post identified six GOP lawmakers who, he thought, would be likely to reject such an all-tax-cut proposal. Of the six "more moderate members," half voted with their party in support of a plan that wouldn't spend a dime, and would rely exclusively on tax cuts.

What I find especially interesting, though, is that Cost not only wasn't aware of this, but he assumed that even if some Republicans supported this approach, it must be unfair to suggest that such an idea was part of the Republican Party mainstream.

In other words, Republican lawmakers have gone so far around the bend, they're surprising their own supporters.

This raises an interesting question about how one can honestly and fairly represent one's "opponent."  One annoying thing about some op-ed writers and many bloggers is a tendency to use a very general term to refer to their opponent.  "Conservatives," they'll say, "believe x, y, and z."  X, y and z will often turn out to be silly, but perhaps true, of someone who fits in that group.  I find such employment of general terms (they're not generalizations–those involve inferences from the particular to the general) very often inaccurate and for that reason dishonest.  This is especially true of blogging, when one can provide all sorts of evidence about the beliefs of one's opponents.  I think it is also especially true of op-eds, where the bar should be set much higher in that newspapers have editors.  For this reason, I bristle when I read this kind of thing (from none other than George Will):

Certitude of one flavor or another is never entirely out of fashion in Washington. Thirty years ago, some conservatives were certain that their tax cuts would be so stimulative that they would be completely self-financing. Today, some liberals are certain that the spending they favor — on green jobs, infrastructure and everything else — will completely pay for itself. For liberals, "stimulus spending" is a classification that no longer classifies: All spending is, they are certain, necessarily stimulative. 

And some paragraphs later:

Today, again, we are told that "politics" has no place in the debate about the tripartite stimulus legislation, which is partly a stimulus, partly liberalism's agenda of social engineering and partly the beginning of "remaking" the economy. 

Surely a man with an Ivy League education can find it in him to name one representative person who asserts this.

It turns out that such characterizations are straw men–or rather, to be precise, hollow men.  They are hollow because they are so very general.  In the second of the passages above, some liberals might be guilty of wanting to engage in social engineering, but so does everyone, including the author of Statecraft as Soulcraft

There has to be a name for this kind of move.  Its generality suggests straw man, so does it's role in criticism, but I think it might deserve its own special name.  Any suggestion?

Argumentum ad Farkam

If you haven't seen Fark.com, you should take a look.  It's a kind of one-line news aggregator with one-word commentary: e.g., dumbass: Man insures his honeybees.  Often the observations on the events are hilarious.  But you wouldn't or shouldn't at least consider them serious news commentary.  But when it comes to the stimulus bill, worth something like a trillion dollars, this is the kind of discourse one is treated to.  Thus, Charles Krauthammer:

It's not just pages and pages of special-interest tax breaks, giveaways and protections, one of which would set off a ruinous Smoot-Hawley trade war. It's not just the waste, such as the $88.6 million for new construction for Milwaukee Public Schools, which, reports the Milwaukee Journal Sentinel, have shrinking enrollment, 15 vacant schools and, quite logically, no plans for new construction.

It's the essential fraud of rushing through a bill in which the normal rules (committee hearings, finding revenue to pay for the programs) are suspended on the grounds that a national emergency requires an immediate job-creating stimulus — and then throwing into it hundreds of billions that have nothing to do with stimulus, that Congress's own budget office says won't be spent until 2011 and beyond, and that are little more than the back-scratching, special-interest, lobby-driven parochialism that Obama came to Washington to abolish. He said.

Not just to abolish but to create something new — a new politics where the moneyed pork-barreling and corrupt logrolling of the past would give way to a bottom-up, grass-roots participatory democracy. That is what made Obama so dazzling and new. Turns out the "fierce urgency of now" includes $150 million for livestock (and honeybee and farm-raised fish) insurance.

Most of Krauthammer's piece is an argumentum ad Obamam–anything short of Jesus spells failure for the politics of hope, etc.  But the evidence for the old-school hope-crushing ways of Obama (with respect to the stimulus) from (a now suspicious of a fear-mongering government) Krauthammer is a couple of miniscule farkish examples: Honeybee insurance!  

It seems self-evident that there are philosophical differences between the two parties on the nature of the stimulus package–after all, ipse dixit!–and perhaps the readers of the Post could be favored with a discussion of those differences, rather than a series of childish and context-free examples of government waste and feigned disappointment at Obama's not being Jesus.  

For Some

Michael Gerson, Evangelical Christian who does not care even to mention the predictable and extensive collateral damage in Gaza, bravely faces down a straw man argument, and loses.  He writes:

While Israel's military operations didn't accomplish everything, they also didn't accomplish nothing. But the "force doesn't solve anything" argument runs so deep for some that real-world outcomes matter little. Military action by Israel is always counterproductive, because Israel must eventually negotiate with its most bitter enemies. The sooner the better.

Call it the Fallacy of the Eventual Answer. It is true that the solution to the Israeli-Palestinian conflict is two states living side by side in peace. But it is false to say that the fight against terrorists and the security of Israel have no part in achieving that goal.

Yes, of course there are pacifists, and of course there are SOME who never advocate military action, and of course military action sometimes achieves things which peaceful negotiation cannot (assignment: name three).  The question at hand, however, SOME would say, is whether this particular military action, with its costs in civilian casualties in Gaza and so forth, has strengthened Israel's ultimate position, increased its security, laid the groundwork for a durable peace, and so forth.  Maybe it has, maybe it hasn't.  But that's rather another discussion than the one Gerson wants to have here. 

But more fundamentally–and this is the loss to the straw man part–the straw man suggests a military action may not be the answer, but that does not entail that Israel (1) not fight terrorists; or (2) have no security.  It's military action, not security, that's at issue. 

I’m not an economist

Since I'm not an economist, I can't easily judge the content of the Krugman's arguments against anti-stimulus arguments. But what makes Krugman stand head and shoulders above the rest of his fellow pundits, is that he makes arguments.

Next, write off anyone who asserts that it’s always better to cut taxes than to increase government spending because taxpayers, not bureaucrats, are the best judges of how to spend their money.

Here’s how to think about this argument: it implies that we should shut down the air traffic control system. After all, that system is paid for with fees on air tickets — and surely it would be better to let the flying public keep its money rather than hand it over to government bureaucrats. If that would mean lots of midair collisions, hey, stuff happens.

The point is that nobody really believes that a dollar of tax cuts is always better than a dollar of public spending. Meanwhile, it’s clear that when it comes to economic stimulus, public spending provides much more bang for the buck than tax cuts — and therefore costs less per job created (see the previous fraudulent argument) — because a large fraction of any tax cut will simply be saved.

This suggests that public spending rather than tax cuts should be the core of any stimulus plan. But rather than accept that implication, conservatives take refuge in a nonsensical argument against public spending in general.

Now to be fair, we can criticize the argument in a couple of ways–first, air traffic control involves a task of coordination and it isn't clear that priming the economic pump does in the same way. It isn't just that centralized air traffic control is more efficient than a "free market" equivalent. So we might ask whether the analogy holds.

Second, we might ask whether the claim that "taxpayer are the best judges of how to spend their money" (see last paragraph here) implies that all public spending should be replaced with private spending. A more moderate position might be to argue that when it comes to something like economic stimulus this principle holds true. However, Krugman is arguing against some of the simplistic and fallacious dismissals of stimulus spending, and so aims to free the discussion for substantive arguments from economists and policy makers rather than from the ideological hacks.

By the way, what is the fallacy in the argument he is attacking? Is it a fallacy? Accident, perhaps? Seems to involve the universalization of a principle that probably holds true in many cases (better to let me choose whether to spend my money on a Squeezebox Duet rather than a Sonos System, than have the government choose for me. Maybe something like "When there's no compelling public need, it is preferable to allow citizens to choose how to spend their money than have government choose." What counts as a compelling need is a political question–in the case of the stimulus plan Krugman makes the case that the public need is stimulating the economy and government spending is just much more effective than private spending in doing that.

The "fallacy" seems to work by arguing:

1. We accept principle x.

2. Principle x entails we should not do y.

3. Therefore we should not do y.

However, principle x is either a) not accepted as stated or b) when qualified does not apply to case y.

1. It is wrong to kill.

2. If it is wrong to kill then we should not use lethal force to defend ourselves.

3. Therefore we should not use lethal force to defend ourselves.

 But, either a) it is not wrong (always to kill) or b) it is only wrong to kill without justification.

The fallacy seems to arise when the principle is taken to be persuasive because on the surface it seems true.

Childish Things

Michael Gerson, George W. Bush's former speechwriter, reflects on the meaning of the inauguration.  First, he sees a double standard in comparing the hypothetical (liberal!!) media coverage of John McCain and George W.Bush versus the actual media coverage of Barack Obama.

This inaugural week included a massive achievement in American racial history, an outpouring of civic participation and a gracious executive transition on both sides. But amid the celebration one could detect double standards all around.

If the outcome had been different in November, would John McCain's inaugural coverage have been quite as worshipful as President Obama's — during which the "shiver" up the leg of journalists finally became full-fledged convulsions? Why were the biblical references in Obama's inaugural speech not considered a coded assault on the Constitution, as George W. Bush's were sometimes viewed? And I can only imagine the cascades of hilarity and derision that would have come had Bush messed up the inaugural oath, no matter the cause.

But a sense of victimhood is not attractive from any political perspective. And so, in honor of the "era of responsibility," I put aside such childish things.

The comparison is absolute crap, to put it mildly.  Gerson ought to go back to the coverage of most of Bush's tenure in office for a nauseatingly sycophantic and incurious media, eager to repeat the lamest of his lines, to faun over his heroic landing on an aircraft carrier, his plain-spoken, I-want-to-have-a-beer-with-him (but not that effete, fat, ambitious exaggerator Al Gore) qualities. 

It would have been far less childish of Gerson had he simply not mentioned this things at all.

Now on to Gerson's other childishness.

Any American with a sense of history should feel that sense of awe. Minorities of every background must feel it most deeply. As the father of multiracial children, I feel it deeply enough.

But there was a second, less sympathetic, Obama enthusiasm at work. In a Newsweek essay, Michael Hirsh mentioned Obama's racial achievement. But he went on to say that "there's something else that I'm even happier about — positively giddy. . . . What Obama's election means, above all, is that brains are back." Hirsh declared that the Obama era means the defeat of "yahooism" and "jingoism" and "flag-pin shallowness" and "religious zealotry" and "anti-intellectualism." Obama is a "guy who keeps religion in its proper place — in the pew."

I only wish what Hirsch said were true!  The "flag-pin shallowness" and the other things, however, are in part at least media-driven narratives that won't go away anytime soon.  But aside from that Gerson cannot possibly be serious, the candidate for Vice President on the Republican side openly questioned whether Obama, with his effete university pedigree and tenuous association with a former domestic terrorist (and radical African American preacher), loved America, or was from "real America."  Notice that this wasn't the fringe crazies on Fox News, or Rush Limbaugh, it was the candidate whom Obama defeated in the Presidential election. 

Anyway, Gerson will have forgotten this, because he'll seize upon the remark about religion and accuse Hirsch of arrogance.   

There is much to unpack here. Can it be that Hirsh is "even happier" about the advance of liberal arrogance than he is about the advance of racial justice? And would the civil rights movement have come at all if African American religion had stayed "in the pew"? But suffice it to say that some wish to interpret the Obama victory as a big push in the culture war — as an opportunity to attack their intellectual and cultural "inferiors."

Cheering that the era of Joe the Plumber, John McCain's ignorant and confused campaign prop does not make one guilty of "liberal arrogance."  Nor does cheering the arrival of a President with the pedigree of an intellectual.  Most of all, however, rejoicing at the political marginalization of the narrow-minded Christian zealots does not have anything to do with the civil rights movement.  To be against, in other words, one particularly virulent and ignorant brand of Christian fundamentalism having a role in shaping government policy does not mean one is against religion having any role at all in the private and public lives of citizens.  Those are really different claims–and "in the pew" is obviously a metaphor only the lack of charity or ignorant yahooism would interpret literally (and then radically misapply).  

This line, given the either-orness of the last administration is the kicker:

Most of us have witnessed this attitude, usually in college. The kids who employed contempt instead of argument, who shouted down speakers they didn't agree with, who thought anyone who contradicted them had a lower IQ, who talked of "reason" while exhibiting little of it. They were often not the brightest of bulbs. Most people recover from this childish affliction. Some do not.

You have got to be kidding me.  The People who employ contempt instead of argument and shout down people they don't agree with–or openly question their sanity, patriotism, honesty, sexuality, faith, and so forth–are not obviously the same people who praise the arrival of an intellectual President, who only nights before his inauguration sits down for a discussion with the opposition's leading "intellectuals."

Same sex marriage and begging the question

This is a bit of a departure from our usual analysis of particular arguments in the media, but because these arguments are fairly common and because we've been hashing these issues out in the comments to the earlier post "5,000 Years," I thought I'd try to synthesize the analysis of the argument as I see it.

Is there a non-question begging (secular) argument for the following claim?

C: Same-sex relationships cannot be considered "marriage."

Setting aside certain circular arguments about tradition (like Rick Warren's which was originally being commented on), the best argument seems to rest on the premise:

P: A necessary condition of marriage is the biological possibility of procreation.

Here biological possibility has to be understood as satisfying the counter-factual condition:

BP: If the functional organs of procreation are working in a species typical way, procreation would be biologically possible.

This condition is meant to include infertile and older couples within the scope of the condition, while still excluding same sex couples. I am not, of course, endorsing this exclusion: the question is whether a good argument can be constructed for C, as a matter of logic, that could justify arguments against same-sex marriage. I am tempted to claim that there cannot be any such argument after considering the various arguments.

Because the argument is trading in essences and definitions it would seem to be deductive: That is, it argues for the impossibility of same-sex marriage by appeal to a definition/essence. It has the form of:

1. X is a necessary condition of Y.

2. Necessarily, Z does not have X.

3. Therefore, necessarily, Z is not Y.

Triangles must have straight sides. Necessarily, Circles do not have straight sides. Therefore, necessarily, circles are not Triangles. Or, Nougaty filling is a necessary condition of being a Three Musketeers bar. Necessarily, Toffee does not have a nougaty filling. Therefore, necessarily, toffee is not a Three Musketeer's bar.

As such this looks like a valid deductive argument. But, a critic might wonder whether P understood in the light of BP really says anything more the following implicit premise.

IP: Only heterosexual couples can be married.

If this is so, then the argument might reasonably be accused of begging the question. But determining when the question is begged needs to be handled carefully, since a begged question can always be resolved by appealing to some further argument that independently justifies the problematic premise.

So, the question then becomes, what independent reason can be provided for P/BP? What sort of "warrant" can be given to claim that marriage has an essential link to the biological possibility of procreation?

In the comments, we identified two distinct strategies:

a) Appeal to tradition/Generalization from past practices–this can range from some sort of descriptive anthropological claim, to some sort of generalization to a normative claim, or a most often a simple stipulation on the basis of past stipulation.

b) Appeal to social function of marriage as defining its essence (coupled with an argument that marriage is the best means for attaining the relevant goals).

It seems to me that (a) either begs the question if it appeals to tradition, or, fails to attain the universality that seems to be needed to underwrite P/BP (at most the generalization can show is that marriage has been understood to have an essential connection to the possibility of procreation, not that this is essential for it. And counter-examples are too many to make the universalization possible (old people getting married, infertile couples etc. And it's no good saying that marriage has just been socially constructed this way, since we are aiming for an essential connection.)

The appeal to tradition seems to me to beg the question insofar as it takes the following form: 

1.  Marriage has been understood (in the past) to require P/BP.

2. Therefore, P/BP

[I probably don't have the logic right here. I'm realizing as I write that I'm not quite clear on how "appeals to tradition" really work, though I think that they are typically bad arguments. I guess they're a sort of temporally dispersed ad populum.]

Even if we can avoid begging the question here, the problem with this argument is that insofar as it appeals to people's opinions about marriage, it relies on a convention, which doesn't seem to be able to underwrite a claim about essence. At most it underwrites a sort of stipulation which isn't adequate to the purposes of this argument.

The strategy of (b) fails for slightly different reasons. The argument seems to run something like this:

1. Marriages provide for stable procreative units.

2. Society has an interest in stable procreative units.

3. Therefore, Society has an interest in recognizing marriages that are means to stable procreative unit

and,

4. Therefore, Society does not have an interest in recognizing relationships as marriages that are not means to stable procreative units.

This is a fine argument as it stands, but it doesn't get close to showing that there is some sort of essential incoherence in the notion of a marriage for some other purpose (adoptive child-rearing for example). It needs to conclude something much stronger than this, something that would suggest that recognizing same-sex marriages is incoherent, since it aims at establishing P/BP. At most it has shown that from the perspective of society, whether there are same-sex marriages or not is a matter of ambivalence. I think typically the argument seems to succeed because it trades the elision of biological function and social function. A little dose of evolution seems to suggest that this necessity is somehow a species necessity, but I think those arguments are pretty empty. (That is, I don't think we can deduce the "right" social institutions from biology, though I certainly grant that there are lots of ways in which biological truths affect which institutions are desirable and which not). 

I'm not at all sure about much of this, and I'm sure there are strategies that I've missed. And certainly it is always open to the arguer to appeal to the Bible or personal communications with God to justify P/BP. But, as far as I can see, I cannot find a viable strategy to make the argument non-question begging. The problem is that the opponent of same-sex marriage must offer a very very strong argument that concludes impossibility if they want to trade on an putative "essence" of marriage. But, the arguments that would establish this putative "essence" of marriage seem to be either too weak to do so, or end up begging the question. The problem is that the "tradition" of heterosexual marriage might have arisen because it was socially useful (and perhaps still is) for managing procreation and the family, but that does not enail the necessary link between marriage and procreation. If this is so, then the whole strategy needs to be rethought, as it is doomed to failure. But, maybe I'm missing something obvious.

Implied messages

Like so few in our liberal media, Richard Cohen has the balls to stand up to the enemies of Israel (in his print column).  But rather than doing the cowardly thing of engaging with an actually informed person, Cohen takes the bold step of making up an unnamed opponent with a weak argument.  This way Cohen sacrifices himself by making his own argument look weak, and himself like a cowardly jerk, while he is really just courageously distracting his readers from seeing the moral complexity of the current situation in Gaza.  He writes:

I get the impression that Israel is expected to put up with this. The implied message from demonstrators and some opinion columnists is that this is the price Israel is supposed to pay for being, I suppose, Israel. I am informed by a Palestinian journalist in a Post op-ed that Israel is trying to stop "amateur rockets from nagging the residents of some of its southern cities." In Sderot, I saw homes nagged to smithereens.

Yes, of course.  Those who think that Israel should sit back and do nothing while being bombed can raise their hands now.  Anyway, Cohen is such a vicariously belligerent dishonest dumbass that he cuts out the second part of the quote above.  Here it is:

In its efforts to stop amateur rockets from nagging the residents of some of its southern cities, Israel appears to have given new life to the fledging Islamic movement in Palestine. 

Not to be pedantic, but the point is that Israel has strengthened the hands of Hamas by responding in the way that it has.  But Cohen, who "gets the impression" and sees the "implied message," deprives his readers of the pleasure of seeing that "the politics by other means part" of the current war might not have been wisely thought out.  It takes, however, real courage to make up, and then face down, such hollow men.  People, after all, might think Cohen a superficial sort of thinker.