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Tractatus Logico-Philosophicus (English): Difference between revisions
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{{ParTLP|5.53}} Identity of the object I express by identity of the sign and not by means of a sign of identity. Difference of the objects by difference of the signs. | {{ParTLP|5.53}} Identity of the object I express by identity of the sign and not by means of a sign of identity. Difference of the objects by difference of the signs. | ||
{{ParTLP|5.5301}} That identity is not a relation between objects is obvious. This becomes very clear if, for example, one considers the proposition "(''x'') : ''f x'' . ⊃ . ''x'' = ''a''" What this proposition says is simply that ''only'' ''a'' satisfies the function ''f'', and not that only such things satisfy the function ''f'' which have a certain relation to ''a''. | {{ParTLP|5.5301}} That identity is not a relation between objects is obvious. This becomes very clear if, for example, one considers the proposition "(''x'') : ''f x'' . ⊃ . ''x'' = ''a''". What this proposition says is simply that ''only'' ''a'' satisfies the function ''f'', and not that only such things satisfy the function ''f'' which have a certain relation to ''a''. | ||
One could of course say that in fact ''only'' ''a'' has this relation to ''a'' but in order to express this we should need the sign of identity itself. | One could of course say that in fact ''only'' ''a'' has this relation to ''a'' but in order to express this we should need the sign of identity itself. | ||
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:<math>\text{(and so on.)}</math> | :<math>\text{(and so on.)}</math> | ||
6.021 A number is the exponent of an operation. | {{ParTLP|6.021}} A number is the exponent of an operation. | ||
6.022 The concept number is nothing else than that which is common to all numbers, the general form of number. | {{ParTLP|6.022}} The concept number is nothing else than that which is common to all numbers, the general form of number. | ||
The concept number is the variable number. | The concept number is the variable number. | ||