Tractatus Logico-Philosophicus Preface
Perhaps this book will be understood only by someone who has himself already had the thoughts that are expressed in itâor at least similar thoughts.âSo it is not a textbook.âIts purpose would be achieved if it gave pleasure to one person who read and understood it.
The book deals with the problems of philosophy, and shows, I believe, that the reason why these problems are posed is that the logic of our language is misunderstood. The whole sense of the book might be summed up in the following words: what can be said at all can be said clearly, and what we cannot talk about we must pass over in silence.
Thus the aim of the book is to draw a limit to thought, or ratherânot to thought, but to the expression of thoughts: for in order to be able to draw a limit to thought, we should have to find both sides of the limit thinkable (i.e. we should have to be able to think what cannot be thought).
It will therefore only be in language that the limit can be drawn, and what lies on the other side of the limit will simply be nonsense.
I do not wish to judge how far my efforts coincide with those of other philosophers. Indeed, what I have written here makes no claim to novelty in detail, and the reason why I give no sources is that it is a matter of indifference to me whether the thoughts that I have had have been anticipated by someone else.
I will only mention that I am indebted to Frege's great works and to the writings of my friend Mr Bertrand Russell for much of the stimulation of my thoughts.
If this work has any value, it consists in two things: the first is that thoughts are expressed in it, and on this score the better the thoughts are expressedâthe more the nail has been hit on the headâthe greater will be its value.âHere I am conscious of having fallen a long way short of what is possible. Simply because my powers are too slight for the accomplishment of the task.âMay others come and do it better.
On the other hand the truth of the thoughts that are here communicated seems to me unassailable and definitive. I therefore believe myself to have found, on all essential points, the final solution of the problems. And if I am not mistaken in this belief, then the second thing in which the value of this work consists is that it shows how little is achieved when these problems are solved.
L. W.
Vienna, 1918
The world is all that is the case.
The world is the totality of facts, not of things.
The world is determined by the facts, and by their being all the facts.
For the totality of facts determines what is the case, and also whatever is not the case.
The facts in logical space are the world.
The world divides into facts.
Each item can be the case or not the case while everything else remains the same.
What is the caseâa factâis the existence of states of affairs.
A state of affairs (a state of things) is a combination of objects (things).
It is essential to things that they should be possible constituents of states of affairs.
In logic nothing is accidental: if a thing can occur in a state of affairs, the possibility of the state of affairs must be written into the thing itself.
It would seem to be a sort of accident, if it turned out that a situation would fit a thing that could already exist entirely on its own.
If things can occur in states of affairs, this possibility must be in them from the beginning.
(Nothing in the province of logic can be merely possible. Logic deals with every possibility and all possibilities are its facts.)
Just as we are quite unable to imagine spatial objects outside space or temporal objects outside time, so too there is no object that we can imagine excluded from the possibility of combining with others.
If I can imagine objects combined in states of affairs, I cannot imagine them excluded from the possibility of such combinations.
Things are independent in so far as they can occur in all possible situations, but this form of independence is a form of connexion with states of affairs, a form of dependence. (It is impossible for words to appear in two different roles: by themselves, and in propositions.)
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.
If I am to know an object, though I need not know its external properties, I must know all its internal properties.
If all objects are given, then at the same time all possible states of affairs are also given.
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.
A spatial object must be situated in infinite space. (A spatial point is an argument-place.)
A speck in the visual field, though 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.
Objects contain the possibility of all situations.
The possibility of its occurring in states of affairs is the form of an object.
Objects are simple.