What Scientific Theories Could Not Be*

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چکیده

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What Scientific Theories Could Not Be

According to the semantic view of scientific theories, theories are classes of models. I show that this view — if taken literally — leads to absurdities. In particular, this view equates theories that are distinct, and it distinguishes theories that are equivalent. Furthermore, the semantic view lacks the resources to explicate interesting theoretical relations, such as embeddability of one the...

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What scientic theories could not be

According to the semantic view of scientic theories, theories are classes of models. I show that this view — if taken seriously as a formal explication — leads to absurdities. In particular, this view equates theories that are truly distinct, and it distinguishes theories that are truly equivalent. Furthermore, the semantic view lacks the resources to explicate interesting theoretical relation...

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What Finitism Could Not Be *

In his paper “Finitism” (1981), W.W. Tait maintains that the chief difficulty for everyone who wishes to understand Hilbert’s conception of finitist mathematics is this: to specify the sense of the provability of general statements about the natural numbers without presupposing infinite totalities. Tait further argues that all finitist reasoning is essentially primitive recursive. In this paper...

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What Chances Could Not Be

The chance of a physical event is the objective, single-case probability that it will occur. In probabilistic physical theories like quantum mechanics, the chances of physical events play the formal role that the values of physical quantities play in classical (deterministic) physics, and there is a temptation to regard them on the model of the latter as describing intrinsic properties of the s...

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What Conditional Probability Could Not Be

Kolmogorov’s axiomatization of probability includes the familiar ratio formula for conditional probability: (RATIO) P(A | B) = P(A ∩ B) P (B) (P (B) > 0). Call this the ratio analysis of conditional probability. It has become so entrenched that it is often referred to as the definition of conditional probability. I argue that it is not even an adequate analysis of that concept. I prove what I c...

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ژورنال

عنوان ژورنال: Philosophy of Science

سال: 2012

ISSN: 0031-8248,1539-767X

DOI: 10.1086/664745