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Fallibility Table

Published Sep 01, 2022 · 2-minute read · 2 revisions

In his book The Myth of the Framework,¹ Karl Popper presents what has since become a famous quote of his (page xii):

'I may be wrong and you may be right, and by an effort, we may get nearer to the truth.'

This attitude is at the heart of his philosophy, critical rationalism. We may call it the fallibilist attitude.

When we have a disagreement with someone, whether he has this attitude tells us a lot about whether we can reasonably expect to make progress in this particular disagreement. If he does not have this attitude regarding this particular matter, and assuming that we do, that doesn't necessarily mean we can't make progress together in other areas or that we can't make progress in the same area if he changes his attitude. Nor does it mean that we can't learn from interacting with someone like him.

Following Popper, we can never know whether we're right about anything.²^,³ There is no criterion of truth. That's why he's careful to say "I may be wrong" and "you may be right" (emphasis changed). But we can think through different scenarios in which we simply postulate who is right and who is wrong.

There are sixteen different scenarios in which two people with conflicting views about a particular issue can find themselves. These scenarios differ in who (if anyone) is right about that particular issue and who (if anyone) has a fallibilist attitude. The 'fallibility table' below lists all possible scenarios.

	You're right?	They're right?	You have the fallibilist attitude?	They have the fallibilist attitude?	Joint progress possible?
1	no	no	no	no	no
2	no	no	no	yes	no
3	no	no	yes	no	no
4	no	no	yes	yes	yes
5	no	yes	no	no	no
6	no	yes	no	yes	no
7	no	yes	yes	no	no
8	no	yes	yes	yes	yes
9	yes	no	no	no	no
10	yes	no	no	yes	no
11	yes	no	yes	no	no
12	yes	no	yes	yes	yes
13	yes	yes	no	no	no
14	yes	yes	no	yes	no
15	yes	yes	yes	no	no
16	yes	yes	yes	yes	no

A few things to note about this table. First, you may notice that joint progress (again, in a particular matter) is only possible if both parties have the fallibilist attitude, as shown in rows 4, 8, and 12. However, there is one scenario, pictured by the last row, in which joint progress isn't possible despite both parties' fallibilist attitude – when both parties are right. So there's an interesting asymmetry there. (If it were symmetrical, every fourth row, including the last one, would read 'yes' in the last column.) In other words, progress is only possible (broadly speaking) if two conditions are met: not only must both parties have the fallibilist attitude but at least one of them must be wrong.

Second, it is always possible for either party to regress instead of progressing or remaining stagnant.

Third, there are only three out of sixteen scenarios in which progress on a particular issue is possible. Solving problems together is often difficult. A lot depends on the fallibilist attitude.

Thanks to Logan Chipkin for commenting on a draft of this post. In addition to Karl Popper, David Deutsch has influenced my thinking on fallibility, especially in chapter 10 of his brilliant book The Beginning of Infinity. I'm also influenced by Elliot Temple's Paths Forward.

Popper, Karl. 2014. The Myth of the Framework: In Defence of Science and Rationality. United Kingdom: Taylor & Francis. (This reference was auto-generated by Google Books, except I moved the year to make it consistent with my other references.) ↩
It seems to me that some of Popper's fans have misunderstood him and taken this view too far. They think we're never fully right about anything. For example, Brett Hall thinks "we cannot “speak the truth”." But of course we can. Popper only says that we can never know whether we are right, and that we should expect to be mistaken. He does not say that we're never right about anything. On the contrary, he quotes Xenophanes (see footnote 3), who says we can be right, and utter "[t]he perfect truth", if only by accident – and I believe that people are right frequently, especially about mundane things where correcting errors is easy. They're just never right about everything, about the entire Truth. Of course, none of this detracts from the desirability of the fallibilist attitude, nor does it mean we should try to find ways of being right, or proving that we are right. ↩
For example, I have previously quoted Popper: "Every unambiguous statement is true or false (although we may not know whether it is the one or the other); […]." (Popper, Karl. 1983. Objective Knowledge: An Evolutionary Approach. Oxford: Oxford Clarendon Press. P. 55)
The Xenophanes quote referenced in footnote 2 reads: ↩

And even if by chance he were to utter
The perfect truth, he would himself not know it;
For all is but a woven web of guesses.

As quoted in Popper, Karl. 2002. Conjectures and Refutations. London, New York: Routledge. P. 34

Dennis Hackethal’s Blog

Fallibility Table

'I may be wrong and you may be right, and by an effort, we may get nearer to the truth.'

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	You're right?	They're right?	You have the fallibilist attitude?	They have the fallibilist attitude?	Joint progress possible?
1	no	no	no	no	no
2	no	no	no	yes	no
3	no	no	yes	no	no
4	no	no	yes	yes	yes
5	no	yes	no	no	no
6	no	yes	no	yes	no
7	no	yes	yes	no	no
8	no	yes	yes	yes	yes
9	yes	no	no	no	no
10	yes	no	no	yes	no
11	yes	no	yes	no	no
12	yes	no	yes	yes	yes
13	yes	yes	no	no	no
14	yes	yes	no	yes	no
15	yes	yes	yes	no	no
16	yes	yes	yes	yes	no

	You're right?	They're right?	You have the fallibilist attitude?	They have the fallibilist attitude?	Joint progress possible?
1	no	no	no	no	no
2	no	no	no	yes	no
3	no	no	yes	no	no
4	no	no	yes	yes	yes
5	no	yes	no	no	no
6	no	yes	no	yes	no
7	no	yes	yes	no	no
8	no	yes	yes	yes	yes
9	yes	no	no	no	no
10	yes	no	no	yes	no
11	yes	no	yes	no	no
12	yes	no	yes	yes	yes
13	yes	yes	no	no	no
14	yes	yes	no	yes	no
15	yes	yes	yes	no	no
16	yes	yes	yes	yes	no

	You're right?	They're right?	You have the fallibilist attitude?	They have the fallibilist attitude?	Joint progress possible?
1	no	no	no	no	no
2	no	no	no	yes	no
3	no	no	yes	no	no
4	no	no	yes	yes	yes
5	no	yes	no	no	no
6	no	yes	no	yes	no
7	no	yes	yes	no	no
8	no	yes	yes	yes	yes
9	yes	no	no	no	no
10	yes	no	no	yes	no
11	yes	no	yes	no	no
12	yes	no	yes	yes	yes
13	yes	yes	no	no	no
14	yes	yes	no	yes	no
15	yes	yes	yes	no	no
16	yes	yes	yes	yes	no