By Derek Bolton
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Additional resources for An Approach to Wittgenstein’s Philosophy
Anticipating what has to be said in what follows, let us call such sentences 'fully analysed'. These alone are the sentences which the theory demands: the propositional sign corresponds exactly to the thought expressed, in that it contains one sign for each object in the situation, and these are arranged as the objects are in the postulated state of affairs. If the signs of a fully analysed sentence are correlated with objects, then the sentence is a proposition, and a thought. But ordinary sentences are not like these fully analysed ones.
But what is the basis of this presupposition? If the conclusions are not already known to be true, and if they are there is no need to use induction, then the claim that they are true must rest on inductive procedures. But then induction is being used to establish truths which alone can show that induction is rational. Consequently any attempt to demonstrate the rationality of induction must run in a circle. 3 26 An Approach to Wittgenstein' s Philosophy (iii) Tautology ( cJ. 46' s) Among the total number of truth-functions of a given class of propositions, there are two extreme cases of propositions which have the same truth-value, true or false, no matter what truth-values be assigned to the constituent propositions.
I2I2 What can be shown, cannot be said. Logical form is shown in the symbolism which represents reality. A variety of cases is included within this general claim, corresponding to various aspects of logical form, and to its identity with pictorial form and the form of reality. Pictorial form is displayed by a picture (2. I 72). 33's). I3's). I's). 2's). Formal concepts, such as 'object' and 'fact', are shown in variables (4. I 2's). 24's, 5·53's) · No propositions can represent the logic of language and reality; but meaningful symbolism, of the kinds listed above, shows that logic.
An Approach to Wittgenstein’s Philosophy by Derek Bolton