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Almost certain 171; almost follows<br />

366, 430–1<br />

Alternative 139–40t, 147t, 148, 153,<br />

176, 178, 183–4; random 152&n,<br />

371–2, see also Sequence<br />

Analytic statements see<br />

Tautologies<br />

Appraisal, of a theory’s adequacy<br />

261t&n–3, 264–5, 266–7, 268,<br />

275, 276<br />

Approximation 152n, 175, 182, 191,<br />

249–51, 266–7, 276, 277, 375–6,<br />

386–7, see also Modification<br />

Apriorism 5, 6, 23n, 201, 252, 262,<br />

314, 317, 332n, 382, 384, see also<br />

Transcendental argument<br />

Argument see Criticism; Discussion<br />

Association theorem 330–1, 332&n,<br />

358–9<br />

Asymmetry between verification<br />

(or confirmation) and<br />

falsification 19–20, 49&n, 260,<br />

264, 267, 314–16<br />

Atomic statements 12, 13, 113t&nt,<br />

314–15, 392–4; relatively 112–13t,<br />

115, 283&n–4, 393–6, 422–3, see<br />

also Field of application<br />

Atomism (metaphysical) xxii, 15–16,<br />

278, 465<br />

Authority of experience, nonexistence<br />

of 29&n, 88–91, see<br />

also Basic statements,<br />

uncertainty of<br />

Auxiliary hypothesis see Hypothesis<br />

Axiomatics 321–2, 329–73<br />

Axioms, Axiomatization,<br />

Axiomatized systems 50–4, 58,<br />

72, 161, 330–1; independence of<br />

see Independence, <strong>logic</strong>al;<br />

interpretation of, section xx,<br />

subject index 495<br />

51–4, 62–3, 330–1; ‘organic’ 339n,<br />

see also Formalization;<br />

Probability, formal theory of<br />

Basic statements or test<br />

statements 12nt, 21, 23–6, 49n,<br />

64, 78, 90–3, 262–3, 264–7, 271,<br />

272–3, 315–16; degree of<br />

composition of 97–8&nt, 111,<br />

113&n, 140n–1n, 283; falsifiability<br />

of 64, 82–4, 92–4, 444n; formal<br />

and material requirements for<br />

82–5; homotypic 70t, 95, 102–3;<br />

permitted 66&n, 96, 108, 113–14,<br />

265n, 387n; in probability see<br />

decidability; prohibited 19, 66,<br />

69, 70, 71, 97, 108, 256; relativity<br />

of section 86–7, 113&n; rule for<br />

accepting 66, 67n, 86–7, 90–1,<br />

92–3; sections 82–5t, 87, 88, 259,<br />

260, 275; their negation are<br />

instantial statements 66n, 71,<br />

82n, 84, 126n, 249–50, 255n, 264,<br />

266; uncertainty of 92–4,<br />

443–5&n, see also Potential<br />

falsifier<br />

Bayes’ theorem 168n, 261n, 289<br />

Belief, rational degree of 135–6t,<br />

171&n, 204, 424–5t, 426, 432–4,<br />

see also Conviction<br />

Bernoulli’s problem, quasi 154nt,<br />

164nt, 165nt, 168–9, 179n<br />

Bernoulli’s theorem or law of great<br />

numbers 142–3, 161, 168n–71,<br />

174, 175, 179–80, 186n, 191, 193,<br />

200, 296; as a bridge 137&n,<br />

171&n, 173n, 230, 435–6;<br />

interpretations of 169, 170<br />

section 62, 171–2, 180<br />

Bias 93, see also Prejudice

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