By A.A. Zinov'ev, J.E. Blakeley

(complex logic)
Boston reviews within the philosophy of technology V.9 revised translation of osnovy logicheskoi teorii nauchnykh znanii.

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Additional resources for Foundations of the logical theory of scientific knowledge

Example text

D2. When the value of a sign which is complex in construction can be established without using some of the signs which are used in the establishment of its value this sign is called analytic: otherwise, it is synthetic. 11. CATEGORIES OF SIGNS Signs are classified into categories in such a way that the following hold: AL If a sign belongs to a certain category, it belongs to no other. A2. If 3 1 and 3 2 belong to different categories, then - ( 3 1 - - 3 2 ) and 27. If 3 1 and 3 2 are signs of different categories, then ~(31==32).

We will limit ourselves to the assumption: terms are the signs which are the elements of the language of science. , if and only if it cannot be generic). 22 THE LOGICAL THEORY OF SCIENTIFIC KNOWLEDGE D3. , if and only if it cannot be specific). D4. Two terms t1 and t2 are compatible in value if and only if it is possible to have a t3 such that D5. The terms t1 and t2 are comparable if and only if there is possible a t3 such that D6. , tn are elements of the division of t. D7. The extension of t is the set of all possible individual terms from the value-range of t; f is an element of the extension of t if and only if it is an individual term from the value-range of t.

Neither in ordinary language nor in the language of science are these operators always clearly and unambiguously expressed. However, we are obliged to assume that they are distinct, perceptible objects, localised in space and time. We also leave aside the fact of the ambiguity of linguistic expressions and the many ways of expressing one and the same function (filling the role) of signs. These abstractions mean the following: in real languages there is something which corresponds to the symbols used to designate the operators in question in the theory of knowledge; these symbols are unambiguous and their visible difference is an indicator of the different functions of the corresponding linguistic forms.

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