Wittgenstein’s Tractatus: Logic, Language, and Reality
The Tractatus aims to clarify the truth and meaning of logical statements and draw out the implications for philosophy. A central issue is language. Every thought is expressed in language, and language structures shape our understanding of reality. As Wittgenstein states, “the limits of my language are the limits of my world.”
The Skeleton of Logical Language
Within the apparent ambiguity and infinite variety of language lies a relatively simple and significant logical skeleton that coincides with formal logic.
Language-World Relationship
Language allows access to the ontological structures of the world because the function of language is to reflect the world. There is a relationship between the reflected and the reflection, without which it would not be recognizable.
Logic
Logic deals with relations between signs. Vocabulary, syntax, and truth tables must be self-sufficient. Only tautologies are logical propositions, compared to contradictions and propositions of fact. The propositions of logic are true in any circumstances; their content can be ignored.
Thesis of Extensionality
The thesis of extensionality uses logical inference and consists of propositions eligible for truth value. This leads to a transcendental nature of logic.
Logical Analysis of Language
Language is often ambiguous and confusing. Therefore, a logical analysis requires the decomposition of expressions into their simplest elements.
Proposition
Only the proposition makes sense, and even within a proposition, names can be distinguished. Only in the context of the proposition do names have meaning. This requires a reductive analysis in which the complex must be translated and decomposed into simple elements, reminiscent of logical atomism. Elementary propositions are the pillars on which the significance of language rests.
Theory of Pictorial Meaning
Propositions are meaningful as they appear as figures of a state of affairs in the world. They are true if the state figured is the case and false if not. What propositions in language and the facts of the world have in common is how the figuration is done. This form is the logical form. Logic is multiplied, meaning that the featured state of affairs must contain the same number of elements and the same logical arrangement. This requires the existence of an isomorphism between the states of affairs and the multiplicity of possible propositions they contain. We cannot access any description of the world that is not projected onto the structures of logic. Therefore, ontology would have the same structure as logic.
The Ontology
If the world is all that is the case, that world will consist of all the facts and not just isolated things. The state of affairs is the ontological equivalent to elementary propositions. Things are to names as deeds are to propositions. Therefore, all true thoughts are a picture of the world, and language is all the propositions.
Metaphysical Implications
Language signifies the limits of the world. Logic fills the world, and the limits of the world are also its limits. We cannot say what we cannot think. There is an absolute limit for language.
Philosophical Propositions
The only meaningful propositions are those that can be compared with states of affairs in the world. Thus, the only scientific propositions that deserve consideration are logical tautologies (which say nothing) and the propositions of natural science (which are not needed). The object of philosophy is the logical clarification of thought. Philosophy is not a theory but an activity, and the results are not philosophical propositions but the clarification of propositions.
The Task of Philosophy
Philosophy should work with science. Philosophical problems arise from entanglements of language. The task of philosophy is to unravel these intricacies and then refrain from philosophizing, thus avoiding wasted energy undoing the muddle. Philosophy should relate what is said to what is shown, and what can be shown cannot be said to be true. The final proposition states, “From what I cannot speak, one must be silent.” In their field, this means maintaining what is shown and keeping that area separate from those states.
The Final Problem
What kind of propositions make up the Tractatus? They neither tell us about events in the world nor are they tautologies. This leads to a paradox that the author assumes quite lucidly in the famous expression, “My propositions are enlightening so that anyone who understands me eventually recognizes that they are nonsense if through them they jump out of them.” As such, one should throw away the ladder after climbing it. The Tractatus may be understood as a paradoxical philosophy whose task is to end this kind of book, an end of philosophy that can only be the result of the same business of philosophy. Wittgenstein was consistent when he abandoned this philosophy.