Valerian_Antohe: Matematica Aplicata

miercuri, 12 martie 2008

Matematica Aplicata

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2 comentarii:

Antohe Valerian spunea...: Caution! Models ≠ Theories
• Mathematical models are relational structures.
• There can no mathematical relations between models and world per se – degree of fit, isomorphism, homomorphism, etc. are relations between mathematical structures.
• Theories have epistemic properties – they can be the objects of propositional attitudes; mathematical structures cannot be.
• Theories have semantic properties that mathematical structures cannot – truth-values for example.
Thus,
• For a model to fit or bear some mapping to the world, the empirical system must be construed as a relational structure, a model of the data.
• It is theoretical hypotheses which are believed, confirmed, accepted, etc.
• Theories are thus hybrid entities – structures and propositions.
• When we say that model predicts some feature of system, we are claiming that the model fits the systems in some respect to some degree.
• When we say that a model explains some feature of a system, we are claiming that the model fits the system in some respect and to some degree such that it preserves the causal relation of interest.; 15 martie 2008 la 08:38
D@n!3l spunea...: Mult succes cu blogul dvs. si multi unici pe zi ;) .; 17 martie 2008 la 05:37

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miercuri, 12 martie 2008

Matematica Aplicata

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