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different roles: by themselves, and in propositions.) 2.0123 If I know an object I also know all its possible occurrences in states of affairs. (Every one of these possibilities must be part of the nature of the object.) A new possibility cannot be discovered later. 2.01231 If I am to know an object, though I need not know its external properties, I must know all its internal properties. 2.0124 If all objects are given, then at the same time all possible states of affairs are also given. 2.013 Each thing is, as it were, in a space of possible states of affairs. This space I can imagine empty, but I cannot imagine the thing without the space. 2.0131 A spatial object must be situated in infinite space. (A spatial point is an argument-place.) A speck in the visual field, thought it need not be red, must have some colour: it is, so to speak, surrounded by colour-space. Notes must have some pitch, objects of the sense of touch some degree of hardness, and so on. 2.014 Objects contain the possibility of all situations. 2.0141 The possibility of its occurring in states of affairs is the form of an object. 2.02 Objects are simple. 2.0201 Every statement about complexes can be resolved into a statement about their constituents and into the propositions that describe the complexes completely. 2.021 Objects make up the substance of the world. That is why they cannot be composite. 2.0211 If the world had no substance, then whether a proposition had sense would depend on whether another proposition was true. 2.0212 In that case we could not sketch any picture of the world (true or false). 2.022 It is obvious that an imagined world, however different it may be from the real one, must have something--a form--in common with it. 2.023 Objects are just what constitute this unalterable form. 2.0231 The substance of the world can only determine a form, and not any material properties. For it is only by means of propositions that material properties are represented--only by the configuration of objects that they are produced. 2.0232 In a manner of speaking, objects are colourless. 2.0233 If two objects have the same logical form, the only distinction between them, apart from their external properties, is that they are different. 2.02331 Either a thing has properties that nothing else has, in which case we can immediately use a description to distinguish it from the
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