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popper-logic-scientific-discovery

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appendix *x 461<br />

situation created by the inherent difficulties of inductivism or<br />

positivism or operationalism or phenomenalism.<br />

The phenomenalist, for instance, wishes to translate statements<br />

about physical objects into statements about observations. For example,<br />

‘There is a flower-pot on the window sill’ should be translatable into<br />

something like ‘If anybody in an appropriate place looks in the<br />

appropriate direction, he will see what he has learned to call a flowerpot’.<br />

The simplest objection (but by no means the most important<br />

one) to regarding the second statement as a translation of the first is to<br />

point out that while the second will be (vacuously) true when nobody<br />

is looking at the window sill, it would be absurd to say that whenever<br />

nobody is looking at some window sill, there must be a flower-pot on<br />

it. The phenomenalist is tempted to reply to this that the argument<br />

depends on the truth-table definition of the conditional (or of<br />

‘material implication’), and that we have to realize the need for a<br />

different interpretation of the conditional—a modal interpretation<br />

which makes allowance for the fact that what we mean is something<br />

like ‘If anybody looks, or if anybody were looking, then he will see, or<br />

would see, a flower-pot’. 25<br />

One might think that our a→ N b could provide the desired modal<br />

conditional, and in a way it does do this. Indeed, it does it as well as<br />

one can possibly expect. Nevertheless, our original objection stands,<br />

because we know that if ā is necessary—that is, if ā εN—then a→ N b<br />

holds for every b. This means that, if for some reason or other the place<br />

where a flower-pot is (or is not) situated is such that it is physically<br />

impossible for anybody to look at it, then ‘If anybody looks, or if anybody<br />

were looking, at that place, then he will, or would, see a flower-pot’<br />

will be true, merely because nobody can look at it. 26 But this means that<br />

25 It was R. B. Braithwaite who replied along similar lines as these to my objection<br />

of vacuous satisfaction after a paper he read on phenomenalism in Professor Susan<br />

Stebbing’s seminar, in the spring of 1936. It was the first time that I heard, in a context<br />

like this, of what is nowadays called a ‘subjunctive conditional’. For a criticism of<br />

phenomenalist ‘reduction programmes’, see note 4 and text, above.<br />

26 A somewhat fuller statement of this view of subjunctive conditionals may be found in<br />

my note ‘On Subjunctive Conditionals with Impossible Antecedents’, Mind N.S. 68, 1959,<br />

pp. 518–520.

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