Categorial frameworks (Library of philosophy and logic) by Stephan Korner

By Stephan Korner

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In accordance with the practice of the preceding chapters only the underlying logic of an axiomatic systenl will be considered as formal. to say its mathematical and non-mathematical maximal kinds and their associated constitutive and individuating principles. Let us consider classical dynamics as an illustration. l The maximal kinds acknowledged by the theory are the class of physical particles and, at least in some of its versions, two classes consisting each of only one particular namely space and time.

John is a man'; 'John is taller than Charles' (' Charles is taller than John '); etc. The individuals may be dependent or independent so long as they are present in the characterized situation. g. cx, f3l' f32' ... g. P, qh q2' ... , for atomic propositions which are the members of information sets. In order to distinguish variables from constants the latter will be \vritten with subscripts. The development of a sequence of situations corresponds to an increase of information about it. Assume that the first situation is characterized by the consistent infornlation set CXo == {Pl .

But this does not mean that in such a theory the transition fronl premisses to conclusions may not proceed in accordance with the same logical principles that govern the inferences within an axiomatic theory. The logic underlying a 11onaxiomatic scientific theory may thus be again L-as is indeed usually the case. 1 2 See Experience and Theory, ch. X. See P. Bridgman, The Nature of Physical Theory (New York, 1928). 42 CA TEGORIAL FRAMEWORKS On the logical structure of theoretical as cOl1"zpared with COl1unonsense thinking The logical structure of scientific theories is best brought out by considering the two types of deduction by which the content of a scientific theory is made explicit.

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