I am still having trouble completely seeing how this precludes the possibility of an isomorphism — 013zen
4.12 Propositions can represent the whole of reality, but they cannot represent what they must have in common with reality in order to be able to represent it — Ibid.
I think it can be seen in how the text uses the terms that it employs. I can see many places which seem to confirm this. — 013zen
2.0121 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.
2.173 A picture represents its subject from a position outside it. (Its standpoint is its representational form.) That is why a picture represents its subject correctly or incorrectly.
4.0641 The negating proposition determines a logical place with the help of the logical place of the negated proposition. For it describes it as lying outside the latter’s logical place.
4.12 Propositions can represent the whole of reality, but they cannot represent what they must have in common with reality in order to be able to represent it—logical form.
4.121 Propositions cannot represent logical form: it is mirrored in them.
5.61 Logic pervades the world: the limits of the world are also its limits.
So we cannot say in logic, ‘The world has this in it, and this, but not that.’
For that would apparently presuppose that we exclude certain possibilities, and this cannot be the case since otherwise logic must get outside the limits of the world: that is, if it could consider these limits from the other side also. For that would appear to presuppose that we were excluding certain possibilities, and this cannot be the case, since it would require that logic should go beyond the limits of the world; for only in that way could it view those limits from the other side as well.
What we cannot think, that we cannot think: we cannot therefore say what we cannot think.
We cannot think what we cannot think; so what we cannot think we cannot say either. — Ibid.
Do you think of the "isomorphism' as a freedom to move forward or backwards in that regard?
— Paine
I'm sorry, I don't completely understand. Would you be able to phrase it differently? — 013zen
It is a 1-to-1 correspondence which preserves the relevant form between structures. — 013zen
2.1511 Thus the picture is linked with reality; it reaches up to it.
2.15121 Only the outermost points of the dividing lines touch the object to be measured.
2.1514 The representing relation consists of the co-ordinations of the elements of the picture and the things.
2.1515 These co-ordinations are as it were the feelers of its elements with which the picture touches reality.
Sartre, whom I find rather impenetrable, especially Being and Nothingness. So, I’ve still a long way to go to understand it better; it does attract me. — Rob J Kennedy
It is clear from this how potent a wise person is and how much more effective he is than an ignorant person who is driven by lust alone. For apart from the fact that an ignorant person is agitated in many ways by external causes and never has true contentment of spirit, he also lives, we might say, ignorant of himself and of God and of things, and as soon as he ceases to be acted on, at the same time he also ceases to be. — ibid. part 5 proposition 42
He then abandoned transcendental views by the time of the Investigations, which though his best-known work, and while having good stuff in it, is also in some respects, a step down form the Tractatus. — Manuel
Tractarian solipsism does not lead to skepticism in the modern sense of doubt about the existence of the world or the possibility of language — Fooloso4
Here we see that solipsism strictly carried out coincides with pure realism. The I in solipsism shrinks to an extensionless point and there remains the reality co-ordinated with it. — ibid. 5.64
So how is believing that there is no society working out for you? — baker
Are you suggesting that the idea of a form of life is an elaboration of the earlier position? — Jamal
Man possesses the capacity of constructing languages, in which every sense can be expressed, without having an idea how and what each word means just as one speaks without knowing how the single sounds are produced.
Colloquial language is a part of the human organism and is not less complicated than it.
From it it is humanly impossible to gather immediately the logic of language. Language disguises the thought; so that from the external form of the clothes one cannot infer the form of the thought they clothe, because the external form of the clothes is constructed with quite another object than to let the form of the body be recognized.
The silent adjustments to understand colloquial language are enormously complicated. — ibid. 4.002
This remark provides a key to the question, to what extent solipsism is a truth. In fact what solipsism means, is quite correct, only it cannot be said, but it shows itself. That the world is my world, shows itself in the fact that the limits of the language (the language which only I understand) mean the limits of my world. — 5.62
If there were a law of causality, it might be put in the following way: There are laws of nature.
But of course, that cannot be said: it makes itself manifest.
The application of logic decides what elementary propositions there are.
What lies in the application logic cannot anticipate.
It is clear that logic may not collide with its application.
But logic must have contact with its application.
Therefore logic and its application may not overlap one another. — ibid. 5.557
324. Would it be correct to say that it is a matter of induction, and that I am as certain that I shall be able to continue the series, as I am that this book will drop on the ground when I let it go; and that I should be no less astonished if I suddenly and for no obvious reason got stuck in working out the series, than I should be if the book remained hanging in the air instead of falling?—To that I will reply that we don't need any grounds for this certainty either. What could justify the certainty better than success?
325. "The certainty that I shall be able to go on after I have had this experience—seen the formula, for instance,—is simply based on induction." What does this mean?—"The certainty that the fire will burn me is based on induction." Does that mean that I argue to myself: "Fire has always burned me, so it will happen now too?" Or is the previous experience the cause of my certainty, not its ground? Whether the earlier experience is the cause of the certainty depends on the system of hypotheses, of natural laws, in which we are considering the phenomenon of certainty.
Is our confidence justified?—What people accept as a justification— is shewn by how they think and live. — Philosophical Investigations, 324
In the later Wittgenstein the notion of "forms of life" takes the place of the Tractarian doctrine of the boundary between what can and cannot be said, which determines in turn the "limits of my world". My world takes on the limits of my form of life. — Jean-Pierre Cometti, 'Merleau-Ponty, Wittgenstein, and the question of expression'
How do you suppose that this passage says anything whatsoever about what cannot be said? How could "recognizing our condition" produce any conclusions about "what cannot be said"? — Metaphysician Undercover
Those are limits of what can be "pictured" in Wittgenstein's schema. The problem is that it is very obvious that language provides us with a whole lot more creativity than just a basic capacity to draw some simple pictures. Therefore this provides us with no information concerning what can or cannot be said. — Metaphysician Undercover
There is another completely distinct category of empirical reality which concerns the activities of objects. And a "picture" does not ever capture the activity. — Metaphysician Undercover
Hume stated this position, the foundation of induction is psychological rather than logical. But Hume's efforts to prove this (inductive) principle logically only serve to demonstrate the falsity of it. — Metaphysician Undercover
What appears to happen in the Tractatus is that Wittgenstein discovers the reality that the primary premise is false, that a large part of the world consists of what is other than fact. But instead of recognizing that language has naturally developed to speak of this other part of the world in ways other than truth-apt propositions, he makes the faulty conclusion that we cannot speak about this part of the world. — Metaphysician Undercover
6.4312 The temporal immortality of the soul of man, that is to say, its eternal survival also after death, is not only in no way guaranteed, but this assumption in the first place will not do for us what we always tried to make it do. Is a riddle solved by the fact that I survive for ever? Is this eternal life not as enigmatic as our present one? The solution of the riddle of life in space and time lies outside space and time.
(It is not problems of natural science which have to be solved.) — ibid.
2.16 In order to be a picture a fact must have something in common with what it pictures.
2.161 In the picture and the pictured there must be something identical in order that the one can be a picture of the other at all.
2.17 What the picture must have in common with reality in order to be able to represent it after its manner rightly or falsely is its form of representation.
2.171 The picture can represent every reality whose form it has.
The spatial picture, everything spatial, the coloured, everything coloured, etc.
2.172 The picture, however, cannot represent its form of representation; it shows it forth.
2.173 The picture represents its object from without (its standpoint is its form of representation), therefore the picture represents its object rightly or falsely.
2.174 But the picture cannot place itself outside of its form of representation.
2.223 In order to discover whether the picture is true or false we must compare it with reality.
2.224 It cannot be discovered from the picture alone whether it is true or false.
2.225 There is no picture which is apriori true.
3 The logical picture of the facts is the thought.
3.22 In the proposition the name represents the object.
3.221 Objects I can only name. Signs represent them. I can only speak
of them. I cannot assert them. A proposition can only say how a thing is, not what it is.
3.262 What does not get expressed in the sign is shown by its application. What the signs conceal, their application declares.
4.0312 The possibility of propositions is based upon the principle of the representation of objects by signs. My fundamental thought is that the logical constants do not represent. That the logic of the facts cannot be represented. — ibid.
5.556 There cannot be a hierarchy of the forms of the elementary propositions. Only that which we ourselves construct can we foresee.
5.5561 Empirical reality is limited by the totality of objects. The boundary appears again in the totality of elementary propositions.
The hierarchies are and must be independent of reality. — ibid.
6.36 If there were a law of causality, it might run: There are natural laws.
But that can clearly not be said: it shows itself.
6.363 The process of induction is the process of assuming the simplest law that can be made to harmonize with our experience.
6.3631 This process, however, has no logical foundation but only a psychological one. It is clear that there are no grounds for believing that the simplest course of events will really happen. — ibid.
But the idea that language consists of truth-apt propositions was derived from the faulty premise, that the world consists of facts. — Metaphysician Undercover
Aristotle proposed that we allow a violation of the law of excluded middle to accommodate becoming. Others have proposed that becoming violates the law of non-contradiction. In any case, this aspect of "the world" cannot be understood as consisting of facts. But this does not mean that we cannot speak about, or even understand this aspect. — Metaphysician Undercover