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Popper Karl - La Logica de la Investigacion Cientifica

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326 <strong>La</strong> lógica <strong>de</strong> <strong>la</strong> investigación científica<br />

(8) p{ah, h) = p{a, Bb)p{B, b)<br />

(9) k ^ pia, 6) -> O = p(ab, b) < p{a, b)<br />

(10) fe 5^ p{a, 6) -^ O < p{a, b)<br />

(11) fe = p(a, 6) -> O < p{a, b)<br />

(12) O p{a, b)<br />

(15) p{a, 6) < fe < 1<br />

(16) O < p{a, b) < fe < 1<br />

(17) fe = p{aa, aa) < p{a, aa) < fe<br />

(18) fe = p{a{aaj, a{aa)) < p(a, a(aa)) < fe<br />

(19) fe = p{aa, aa) = p{a, a{aa))p{a, aa) = k''<br />

(20) fe = fe^<br />

(21) (Ea) (E6) p{a, 6) 5^ O -> fe = 1<br />

(22) (Ea) (E6) p(a, 6) 5^ O<br />

(23) p{a, o) = fe = 1<br />

(24) (E6) (Ea) p(b, a)-A k<br />

(25) (Ea) p(a, a) = O<br />

B2<br />

7, 8, Bl<br />

9<br />

5<br />

11<br />

12<br />

C, 1, 13<br />

14,5<br />

12, 15<br />

1, Bl, 15<br />

1, Bl, 15<br />

1, B2, 17, 18<br />

19<br />

16, 20<br />

Al<br />

1,21, 22<br />

Al , 1<br />

7, 24<br />

Con esto hemos estatuido todas <strong>la</strong>s leyes <strong>de</strong> los extremos superior<br />

e inferior: <strong>la</strong>s fórmu<strong>la</strong>s (12) y (15), resumidas en (16), hacen<br />

ver que <strong>la</strong>s probabilida<strong>de</strong>s tienen por extremos O y 1 ; y <strong>la</strong>s (23) y (25)<br />

ponen <strong>de</strong> manifiesto que ambos extremos son accesibles.<br />

(26) O

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