Nonsense and Meaning

Where it surfaces

• 3.031

  The idea of an 'unlogical' world is shown to be nonsensical, as it attempts to say what cannot be coherently thought or expressed.

• 3.24

  Wittgenstein distinguishes falsehood from nonsense when a complex does not exist, clarifying the boundaries of meaningful propositions.

• 3.328

  The passage directly addresses when a sign becomes meaningless, tying necessity to meaningfulness.

• Essential and Accidental Features of Propositions

  The essential features of a proposition are what allow it to express a sense, distinguishing meaningful propositions from nonsense.

• 4.002

  Implies that the surface form of language can be misleading, pointing to the distinction between apparent and genuine sense.

• 4.003

  Wittgenstein declares most philosophical propositions senseless, not false, due to misunderstanding language's logic.

• 4.026

  The requirement that meanings be explained underscores the distinction between meaningful propositions and those that lack sense.

• 4.0312

  The idea that logical constants do not represent challenges traditional notions of meaningful representation.

• 4.061

  Highlights that propositions have a sense independent of facts, countering the confusion that truth and falsehood are equal relations.

• 4.062

  Explores the boundary between meaningful and meaningless propositions by examining the role of truth and falsehood in communication.

• 4.0621

  The analysis of negation touches on the boundaries of meaningful language, as the sign '~' does not represent an object in reality.

• 4.063

  The simile illustrates that a proposition without a sense corresponds to nothing, emphasizing that sense must be determined before truth-value can be assigned.

• 4.064

  The proposition's sense is intrinsic, not bestowed by assertion.

• 4.0641

  The analysis of denial presupposes that the denied proposition is meaningful, as it must be a full proposition to be denied, touching on the boundary between sense and nonsense.

• 4.115

  By clearly displaying the speakable, the unspeakable is indicated, highlighting the distinction between meaningful propositions and nonsense.

• 4.1211

  Logical relations like contradiction and entailment are shown, not said, highlighting the limits of meaningful language.

• 4.1212

  Highlights the distinction between meaningful propositions and what lies beyond them, which can only be shown.

• 4.124

  Ascribing or denying a formal property to a proposition is deemed senseless, reinforcing the distinction between sense and nonsense.

• 4.1241

  The attempt to assign properties to forms is shown to lack sense, illustrating the boundary between sense and nonsense.

• 4.1272

  Highlights how misusing formal concepts as proper concept words generates senseless pseudo-propositions.

• 4.1274

  The proposition directly addresses the senselessness of certain questions, highlighting the boundary between sense and nonsense.

• 4.242

  Identity statements are shown to be pseudo-propositions that assert nothing about meaning.

• 4.243

  The claim that expressions deduced from 'a = a' are not significant signs touches on the boundary between sense and nonsense.

• 4.431

  Wittgenstein implies that treating truth-values as objects leads to nonsense, as it fails to determine the sense of propositions.

• 4.441

  The claim that there are no logical objects underscores that logical signs do not carry meaning in the same way as names for objects.

• 4.442

  Wittgenstein argues that Frege's assertion sign is logically meaningless, contributing to the theme of distinguishing sense from nonsense in logical notation.

• 4.461

  Tautologies and contradictions are described as without sense, illustrating the limits of meaningful language.

• 4.4611

  Distinguishes between nonsensical propositions and those that are senseless but part of the symbolic system.

• 4.462

  Tautologies and contradictions lack sense as they present no possible state of affairs.

• 4.466

  The discussion of tautologies and contradictions touches on the boundaries of meaningful propositional combination.

• 4.4661

  The relations between signs in tautology and contradiction are described as meaningless, highlighting the boundary between sense and nonsense.

• 5

  By defining propositions as truth-functions, the chapter sets the stage for distinguishing meaningful propositions from nonsense.

• 5.143

  Contradiction and tautology are shown as limiting cases that lack factual content, bordering on nonsense.

• 5.4

  The denial of logical objects implies that many traditional philosophical statements about logic are nonsensical.

• 5.43

  The claim that logical propositions say nothing touches on the boundary between sense and nonsense.

• 5.44

  The argument that treating '~' as an object would lead to nonsensical differences in meaning between '~~p' and 'p'.

• 5.461

  The claim that brackets have no meaning by themselves touches on the limits of meaningful signs in logic.

• 5.473

  The proposition 'Socrates is identical' is senseless due to lack of arbitrary determination, not because the symbol is inherently impermissible.

• 5.4732

  By stating that a sign cannot be given the wrong sense, Wittgenstein underscores that sense is intrinsic, and any attempt to force a different meaning results in nonsense.

• 5.47321

  The passage directly ties unnecessary symbolic elements to meaninglessness, reinforcing the boundary between sense and nonsense.

• 5.4733

  The chapter directly addresses how a proposition can lack sense due to missing meaning in its constituents, distinguishing between legitimate construction and meaningfulness.

• 5.502

  The simplification of notation underscores the distinction between meaningful logical form and mere symbolic expression.

• 5.512

  The sign '~' does not directly connect to reality; meaning arises from the shared logical pattern.

• 5.513

  The proposition 'p ∨ ~p' says nothing, highlighting the boundary between sense and nonsense.

• 5.515

  Wittgenstein discusses conditions under which propositions lose sense, linking to the broader theme of meaningful vs. nonsensical combinations.

• 5.5151

  The interplay between positive and negative signs touches on how meaning is constructed and the limits of expressing negation.

• 5.525

  The distinction between tautology, significant proposition, and contradiction is central to Wittgenstein's view of meaningful expression.

• 5.5302

  The proposition that two objects share all properties is never true but remains significant, highlighting the boundary between sense and nonsense.

• 5.5303

  The proposition directly addresses when statements about identity become nonsense or say nothing.

• 5.532

  By eliminating the identity sign, Wittgenstein aims to avoid pseudo-propositions that appear meaningful but are logically empty.

• 5.5321

  By replacing the identity sign with quantifiers, Wittgenstein aims to avoid the nonsensical use of '=' in logical notation.

• 5.534

  Identity propositions are shown to be inexpressible in a proper logical notation, suggesting they are nonsensical.

• 5.535

  The Axiom of Infinity is treated as a pseudo-proposition that disappears when its logical form is properly understood.

• 5.5351

  Wittgenstein argues that placing 'p ⊃ p' as a hypothesis to ensure argument form results in nonsense, as it does not make false arguments meaningful.

• 5.5352

  The proposed formula is questioned as to whether it even constitutes a meaningful proposition

• 5.5422

  The passage directly addresses the impossibility of judging nonsense, linking judgment to meaningful propositions.

• 5.5542

  The question of whether a sign form can be set out without knowing if anything corresponds to it raises issues of meaningful versus nonsensical propositions.

• 5.5571

  Attempting to give elementary propositions a priori leads to obvious nonsense, highlighting the boundary between sense and nonsense.

• 6.111

  The misunderstanding of logical propositions as having factual content is shown to be a symptom of false understanding.

• 6.1263

  Highlights the difference between meaningful propositions and logical propositions that say nothing about the world.

• 6.2

  Mathematical propositions are described as pseudo-propositions, relating to the theme of nonsense and meaning.

• 6.21

  Mathematical propositions are shown to lack the sense of genuine propositions, as they do not picture states of affairs.

• 6.2322

  Highlights how certain statements about meaning become nonsensical when they presuppose what they attempt to assert.

• 6.31

  Highlights that significant propositions are not a priori logical truths

• 6.36

  The proposition about the law of causality cannot be said meaningfully; it shows itself.

• 6.5

  The dismissal of the riddle as nonexistent reflects the Tractatus's view that what cannot be spoken is nonsense.

• 6.51

  Skepticism is deemed 'palpably senseless' because it attempts to doubt where no meaningful question can be asked.

• 6.53

  The passage directly addresses how metaphysical statements lack meaning because certain signs have not been given a sense, and the correct method is to expose this.

• 6.54

  Wittgenstein explicitly states his propositions are recognized as senseless after they have served their elucidatory purpose.