Tractatus Logico-Philosophicus · Character

Mr. Wittgenstein

A former soldier who believes philosophy ends where clarity begins, he builds numbered propositions to draw the boundary between what language can say and what it can only silently show.

major

Also known as Wittgenstein

First appearance: Tractatus Logico-Philosophicus

As a major figure in Tractatus Logico-Philosophicus, Mr. Wittgenstein is not background color—the story leans on what they do once the chapter opens.

Primary author and philosophical voice throughout the chapter.

In the storyTractatus Logico-PhilosophicusOpen this moment free

He is the lone architect of the Tractatus, speaking not as a narrator but as a voice that insists every proposition must be a logical picture of reality. His central tension is that the book's own claims about logic, ethics, and the mystical seem to exceed the very limits he draws, forcing him to treat his own sentences as ladders to be thrown away. This self-consuming rigor matters because it turns reading into an act of philosophical reconstruction: each numbered thought demands that you test whether language truly reaches the world or only mirrors its own scaffolding.

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Socrates
psychological · positive
Wittgenstein repeatedly invokes Socrates as a model for philosophical inquiry and ethical… How this plays out →
Bertrand Russell
professional · ambivalent
Socrates
psychological · positive
Wittgenstein repeatedly invokes Socrates as a model for philosophical inquiry and ethical… How this plays out →

Socrates
Wittgenstein repeatedly invokes Socrates as a model for philosophical inquiry and ethical living, reflecting an aspirational and critical identification.
Bertrand Russell
Russell is Wittgenstein's mentor and early supporter, though their relationship becomes strained due to philosophical disagreements.
Socrates
Wittgenstein repeatedly invokes Socrates as a model for philosophical inquiry and ethical living, reflecting an aspirational and critical identification.

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Mr. Wittgenstein appears across 474 companion beats. Open any chapter in the free preview to see the notes beside the text.

Tractatus Logico-Philosophicus
Primary author and philosophical voice throughout the chapter.
The World is Everything That is the Case
Author of the Tractatus, presenting the opening proposition.
1.1
Author of the Tractatus, presenting the fundamental thesis that the world is a totality of facts.
1.11
Author of the Tractatus, presenting the foundational thesis that the world is the totality of facts.
1.12
Author of the proposition, defining the scope of facts.
1.21
Author of the proposition, articulating the independence of atomic facts.
Chapter 2: The Existence of Atomic Facts
Author of the Tractatus, presenting the foundational idea of atomic facts.
2.01
Author of the proposition defining atomic facts.
2.011
Author of the proposition
2.012
Author of the proposition
2.0121
Author of the proposition, developing the doctrine of logical atomism and the inherent combinatorial possibilities of objects.
2.0122
Author of the Tractatus, presenting the nature of objects and their connection to atomic facts.
2.0123
Author of the proposition, articulating the nature of objects and their possibilities.
2.01231
Author of the proposition.
2.0124
Author of the Tractatus, presenting the logical relationship between objects and atomic facts.
2.013
Author of the Tractatus, presenting the logical structure of objects and states of affairs.
2.0131
Author of the Tractatus, presenting the logical necessity of objects occupying specific spaces of possible properties.
2.014
Author of the proposition; presents the idea that objects contain possibilities.
2.02
Author of the proposition asserting the simplicity of objects.
2.0201
Author of the proposition, presenting a core idea of logical atomism.
2.021
Author of the proposition asserting the simplicity of objects as the substance of the world.
2.0211
Author of the proposition, presenting a logical argument for the necessity of substance in the world.
2.0212
Author of the proposition
2.022
Author of the proposition
2.023
Author of the proposition.
2.0231
Author of the proposition
2.0233
Author of the proposition.
2.02331
Author of the proposition, presenting a logical argument about individuation and description.
2.024
Author of the proposition defining substance.
2.0251
Author of the proposition
2.026
Author of the proposition, presenting the foundational role of objects in determining the world's structure.
2.0271
Author of the proposition
2.0272
Author of the proposition, presenting the logical structure of atomic facts.
2.03
Author of the Tractatus, presenting the structure of atomic facts.
2.031
Author of the proposition
2.034
Author of the proposition, articulating the relationship between facts and atomic facts.
2.063
Author of the proposition defining the total reality as the world.
2.1
Author of the proposition
2.11
Author of the proposition.
2.12
Author of the proposition defining the picture as a model of reality.
2.131
Author of the proposition, articulating the representational relationship between picture elements and objects.
2.141
Author of the proposition defining the picture as a fact.
2.15
Author of the Tractatus, presenting the picture theory of language.
2.151
Author of the proposition
2.16
Author of the Tractatus, presenting the condition for a fact to be a picture.
2.161
Author of the proposition
2.17
Author of the proposition, defining the necessary condition for pictorial representation.
2.172
Author of the Tractatus, presenting the limits of pictorial representation.
2.173
Author of the proposition, articulating the relationship between a picture and its object.
2.18
Author of the proposition, articulating the necessity of logical form for representation.
2.181
Author of the proposition, defining the concept of a logical picture.
2.182
Author of the proposition.
2.19
Author of the proposition, presenting the core idea of logical picturing.
2.2
Author of the proposition.
2.202
Author of the proposition, articulating the nature of pictorial representation in logical space.
2.203
Author of the Tractatus, presenting the picture theory of language.
2.21
Author of the proposition.
2.22
Author of the proposition.
2.225
Author of the proposition, presenting a core tenet of the picture theory.
Chapter 3
Author of the Tractatus, presenting the theory that thoughts are logical pictures of facts.
3.001
Author of the proposition.
3.01
Author of the proposition.
3.02
Author of the proposition linking thought and possibility.
3.03
Author of the proposition; presents a foundational limit on thought.
3.031
Author of the proposition, challenging traditional theological and logical assumptions.
3.032
Author of the proposition, drawing an analogy between logical impossibility and geometric impossibility.
3.0321
Author of the proposition, drawing a distinction between physical and geometric impossibility in representation.
3.04
Author of the proposition.
3.05
Author of the proposition
3.1
Author of the propositional theory expressed in this chapter.
3.11
Author of the proposition; presents the theory of projection.
The Propositional Sign and Its Projective Relation
Introduces the distinction between the propositional sign and the proposition itself, grounding the latter in its projective relation to the world.
3.13
Author of the Tractatus, presenting the distinction between the proposition and its projected sense.
3.14
Author of the proposition that the propositional sign is a fact.
3.141
Author of the proposition, presenting the analogy between propositions and musical themes.
3.142
Author of the proposition
3.143
Author of the Tractatus, presenting the argument that the propositional sign is a fact.
3.1431
Author of the proposition, presenting the thought experiment about spatial objects as propositional signs.
3.1432
Author of the Tractatus, presenting the picture theory of language.
3.144
Author of the proposition distinguishing description from naming.
3.2
Author of the proposition
3.201
Author of the proposition, defining simple signs and complete analysis.
3.202
Author of the proposition defining names as simple signs in propositions.
3.203
Author of the proposition, defining the relation between name and object.
3.21
Author of the proposition
3.22
Author of the proposition, presenting the relationship between names and objects.
3.221
Author of the proposition
3.23
Author of the proposition, presenting a foundational postulate about simple signs and determinateness of sense.
3.24
Author of the Tractatus; presents the analysis of propositions about complexes.
3.25
Author of the proposition
3.251
Author of the proposition, presenting the view that propositions are articulate.
3.26
Author of the proposition, defining names as primitive signs.
3.261
Author of the Tractatus, presenting the distinction between primitive and defined signs.
3.262
Author of the proposition, presenting the distinction between what signs express and what their application shows.
3.263
Author of the Tractatus, presenting the nature of primitive signs and elucidations.
3.3
Author of the proposition.
3.31
Author of the Tractatus, defining the concept of expression in logical analysis.
3.311
Author of the proposition, defining the nature of expressions in logical syntax.
3.313
Author of the Tractatus, introducing the concept of the propositional variable.
3.314
Author of the proposition
3.315
Author of the proposition; presents the logical transformation of propositions into variables.
3.316
Author of the proposition
3.317
Author of the Tractatus, presenting the nature of propositional variables and symbolic description.
3.318
Author of the proposition, presenting his view.
3.32
Author of the proposition distinguishing sign from symbol.
3.321
Author of the proposition
3.322
Author of the proposition, presenting the argument about the arbitrariness of signs and the impossibility of indicating common characteristics through identical signs with different methods of symbolizing.
3.323
Author of the Tractatus, analyzing ambiguities in ordinary language.
3.324
Author of the proposition, diagnosing the source of philosophical confusion.
3.325
Author of the Tractatus, presenting the requirement for a logically perfect symbolism.
3.326
Author of the proposition, discussing the relationship between sign and symbol.
3.327
Author of the proposition, articulating the dependence of logical form on syntactic application.
3.328
Author of the proposition and interpreter of Occam's razor.
3.33
Author of the proposition, articulating a core principle of logical syntax.
3.331
Author of the observation critiquing Russell's Theory of Types.
3.332
Author of the proposition, presenting a key logical limitation.
3.333
Author of the argument that a function cannot be its own argument, resolving Russell's paradox.
3.334
Author of the proposition
Essential and Accidental Features of Propositions
Author of the distinction between essential and accidental features of propositions.
3.341
Author of the proposition, presenting the core idea of essential features in propositions and symbols.
3.3411
Author of the proposition, developing the concept of the real name.
3.342
Author of the proposition, presenting the argument about arbitrariness and necessity in notation.
3.3421
Author of the proposition; reflects on the philosophical significance of symbolic methods.
3.343
Author of the proposition; presents the theory of definitions as translation rules.
3.344
Author of the proposition
3.3441
Author of the Tractatus, presenting the logical structure of truth-functional notation.
The Proposition Determines a Place in Logical Space
Author of the proposition that a proposition determines a place in logical space.
3.41
Author of the proposition.
3.411
Author of the proposition
3.42
Author of the proposition and the logical scaffolding metaphor.
3.5
Author of the proposition.
Chapter 4: The Thought is the Significant Proposition
Author of the proposition defining thought as the significant proposition.
4.001
Author of the proposition defining language as the totality of propositions.
4.002
Author of the Tractatus; presents his view on the disguise of thought by colloquial language.
4.003
Author of the Tractatus, presenting his critique of traditional philosophy.
4.0031
Author of the proposition, asserting philosophy as critique of language.
4.01
Author of the proposition
4.011
Author of the Tractatus, presenting the picture theory of language.
4.012
Author of the proposition
4.013
Author of the Tractatus, presenting the argument about the pictorial nature of language.
4.014
Author of the proposition, presenting the analogy of the gramophone record to explain the pictorial internal relation.
4.0141
Presents the analogy of the musical score, symphony, and gramophone record to demonstrate the internal similarity and rule of projection between different modes of representation.
4.015
Author of the proposition; presents the foundational role of the logic of representation in enabling similes and imagery in language.
4.016
Author of the proposition, presenting the analogy between hieroglyphic writing and propositions.
4.02
Author of the proposition.
4.021
Author of the proposition, presenting the picture theory of language.
4.022
Author of the Tractatus, presenting the nature of propositions.
4.023
Author of the propositional theory presented in this section.
4.024
Author of the proposition
4.025
Author of the proposition.
4.026
Author of the proposition, presenting the view that word meanings require explanation and that propositions are the medium of self-explanation.
4.027
Author of the proposition, presenting a core insight into the nature of propositions.
4.03
Author of the proposition, presenting the picture theory of language.
4.031
Author of the propositional theory described in this section.
4.0311
Author of the proposition, presenting the picture theory of language.
4.0312
Author of the fundamental thought that logical constants do not represent.
4.032
Author of the proposition and central figure in the argument.
4.04
Author of the proposition, presenting the requirement of logical multiplicity.
4.041
Author of the Tractatus, presenting the argument about the limits of representing mathematical multiplicity.
4.0411
Author of the Tractatus, presenting the argument about the inadequacy of certain symbolic notations for generality.
4.0412
Author of the critique against idealist explanations of spatial relations.
4.05
Author of the proposition
Propositions as Pictures of Reality
Author of the proposition, presenting the core of the picture theory.
4.061
Author of the proposition, clarifying the independence of propositional sense from factual truth.
4.062
Author of the proposition and the argument about truth and falsehood.
4.0621
Author of the proposition, analyzing the nature of negation and its relation to reality.
4.064
Author of the proposition that sense precedes assertion.
4.0641
Author of the proposition, presenting a logical analysis of denial.
4.1
Author of the proposition, presenting the core of the picture theory.
4.11
Author of the proposition linking truth and natural science.
4.111
Author of the proposition distinguishing philosophy from natural sciences.
4.112
Author of the Tractatus, presenting his conception of philosophy as logical clarification.
4.1121
The author presenting his views on the relation between philosophy and psychology.
4.1122
Author of the proposition distinguishing philosophy from natural science.
4.114
Author of the proposition
4.115
Author of the Tractatus, presenting the method of philosophy as a delimitation of language.
4.116
Author of the proposition, asserting the clarity of thinkable and sayable content.
The Limits of Representation
Author of the proposition, presenting the argument about the limits of representation.
4.121
Author of the proposition; presents the distinction between showing and saying.
4.1211
Author of the Tractatus; presents the doctrine that logical features are shown by propositional structure.
4.1212
Author of the proposition, articulating the boundary between showing and saying.
4.1213
The author articulating the feeling of logical correctness.
4.122
Author of the Tractatus, introducing and clarifying the distinction between internal and external relations.
4.1221
Author of the proposition, introducing the concept of internal properties as features.
4.123
Author of the proposition defining internal properties and relations.
4.124
Author of the Tractatus, presenting the distinction between what can be said and what shows itself.
4.1241
Author of the proposition.
4.125
Author of the proposition
4.1251
Author of the proposition settling the dispute about internal and external relations.
Formal Series and Internal Relations
Author of the Tractatus, defining formal series and internal relations.
Formal Concepts and Proper Concepts
Introduces the notion of formal concepts and contrasts them with proper concepts, critiquing traditional logic.
4.127
Author of the proposition
4.1271
Author of the proposition, defining the nature of variables and formal concepts.
4.1272
Author of the Tractatus, presenting the critique of pseudo-concepts.
4.12721
Author of the argument that formal concepts and their instances cannot both be primitive ideas.
4.1273
Author of the proposition, presenting his critique of Frege and Russell's logical notation.
4.1274
Author of the proposition, asserting the senselessness of questions about formal concepts.
4.128
Author of the proposition asserting the anumerical nature of logical forms.
4.2
Author of the Tractatus, presenting the core theory of propositional sense.
Elementary Propositions and Atomic Facts
Author of the proposition
4.211
Author of the proposition, defining the nature of elementary propositions.
4.22
Author of the proposition, presenting the fundamental nature of elementary propositions.
4.221
Author of the proposition; presents the necessity of analysis reaching elementary propositions and questions the origin of the propositional connection.
4.2211
Author of the proposition asserting the necessity of objects and atomic facts regardless of infinite complexity.
4.23
Author of the proposition, presenting a core tenet of logical atomism.
4.24
Author of the Tractatus, presenting his notation for names and elementary propositions.
4.242
Author of the proposition, presenting his view on identity statements.
4.243
Author of the Tractatus, presenting arguments about names, synonymy, and the nature of identity statements.
4.25
Author of the proposition
4.26
Author of the proposition
4.27
Author of the proposition, presenting combinatorial logic of atomic facts.
4.28
Author of the proposition
4.3
Author of the Tractatus, presenting the logical relationship between elementary propositions and atomic facts.
4.31
Author of the Tractatus, presenting truth-possibility schemata.
4.4
Author of the Tractatus, presenting the logical structure of propositions.
4.41
Author of the proposition, presenting the foundational link between elementary propositions and truth-conditions.
4.411
Author of the proposition, asserting the foundational role of elementary propositions.
4.43
Author of the proposition
4.431
Author of the Tractatus, presenting the theory of truth-conditions.
4.44
Author of the proposition
4.441
Author of the Tractatus, presenting the argument that logical signs do not denote objects.
4.442
Author of the Tractatus, presenting his analysis of propositional signs and truth-conditions.
4.45
Author of the proposition
4.46
Author of the proposition
4.461
Author of the proposition, explaining the nature of tautology and contradiction.
4.4611
Author of the proposition; distinguishes tautology and contradiction from nonsense.
4.462
Author of the Tractatus, presenting the nature of tautology and contradiction.
4.463
Author of the proposition, presenting the analogy of truth-conditions as a solid body restricting logical space.
4.464
Author of the Tractatus, presenting the logical classification of propositions.
4.465
Author of the proposition
4.466
Author of the proposition
4.5
Presents the possibility and necessity of a general form of proposition.
4.52
Author of the proposition
4.53
Author of the proposition
5
Author of the Tractatus, presenting the core logical thesis of the work.
5.01
Author of the proposition
5.02
Author of the Tractatus, presenting the distinction between argument and index.
5.1
Author of the proposition, presenting the basis for probability theory through truth-functional series.
5.101
Author of the Tractatus, presenting the truth-functional schema.
5.11
Author of the proposition defining logical consequence.
5.12
Author of the proposition; presents the logical condition for one proposition following from another.
5.122
Author of the proposition.
5.123
Author of the proposition, exploring logical necessity and creation.
5.1241
Author of the Tractatus, presenting logical relations between propositions.
5.13
Author of the proposition, presenting the foundational view of logical inference.
5.131
Author of the Tractatus, presenting the theory of logical inference based on internal relations of propositional forms.
5.1311
Author of the proposition, analyzing logical inference and notation.
5.132
Author of the proposition, presenting his view on inference.
5.133
Author of the proposition asserting the a priori nature of inference.
5.134
Author of the proposition, presenting a core tenet of logical atomism.
5.135
Author of the proposition
5.136
Author of the proposition denying a causal nexus for inference.
5.1361
Author of the proposition, presenting a critique of causal inference and superstition.
5.1362
Author of the proposition; presents the argument on freedom of the will and the nature of knowledge.
5.1363
Author of the proposition, critiquing the epistemic value of obviousness.
5.14
Author of the proposition
5.141
Author of the proposition
5.143
Author of the Tractatus; presents the logical distinction between contradiction and tautology.
5.15
Author of the Tractatus, presenting a logical definition of probability.
5.151
Author of the Tractatus, presenting a formal definition of probability between propositions.
5.1511
Author of the proposition
5.152
Author of the Tractatus, presenting the logical relationship between independence, probability, and logical consequence.
5.153
Author of the proposition
5.154
Presents the urn example to illustrate the nature of probability statements.
5.155
Author of the proposition
5.156
Author of the proposition; presents the analysis of probability.
5.2
Author of the Tractatus, presenting the concept of internal relations between propositional structures.
5.21
Author of the proposition, explaining the concept of operations and internal relations.
5.22
Author of the proposition defining operation as a structural relation.
5.23
Author of the Tractatus, defining the concept of an operation.
5.233
Author of the proposition
Truth-Operations on Elementary Propositions
Introduces the concept of truth-operations as the operations that yield truth-functions from elementary propositions.
5.2341
Author of the proposition
5.24
Author of the Tractatus, presenting the nature of operations in logic.
5.241
Author of the proposition, presenting a refined view on operations and logical form.
5.242
Author of the Tractatus, presenting the formal nature of operations on propositions.
5.25
Author of the proposition; distinguishes operation from function.
5.251
Author of the proposition distinguishing functions from operations.
5.2521
Author of the Tractatus, defining the concept of successive application of operations.
5.2522
Introduces notation for the general term of a formal series.
5.2523
Author of the proposition, defining the equivalence between operation application and the concept of 'and so on.'
5.253
Author of the proposition
5.254
Author of the proposition
5.3
Author of the Tractatus, presenting the theory of truth-operations.
5.31
Author of the Tractatus, presenting the logical structure of propositions.
5.32
Author of the proposition
5.4
Author of the Tractatus, presenting the argument against logical objects.
5.42
Author of the argument
5.43
Author of the proposition; presents the argument about the infinite consequences of a fact and the nature of logical propositions.
5.44
Author of the proposition, presenting the argument about truth-functions and denial.
5.441
Author of the proposition, presenting the disappearance of apparent logical constants through equivalence.
5.442
Author of the proposition, presenting a key idea in logical atomism.
5.45
Author of the proposition, articulating requirements for a correct logic.
5.452
Author of the Tractatus, presenting a critique of logical notation practices.
5.453
Author of the proposition, asserting that numbers have no special status in logic.
5.454
Author of the proposition, presenting a fundamental view on the nature of logic.
5.4541
Author of the proposition; presents the view that logical problems set their own standard of neatness.
5.46
Author of the Tractatus, presenting the argument about logical signs and the general form of propositions.
5.461
Author of the Tractatus, presenting a critique of logical notation.
5.4611
Author of the proposition, presenting the view that logical operation signs function as punctuation.
5.47
Author of the proposition; presents the argument that all logical operations are contained in the elementary proposition.
5.471
Author of the proposition
5.4711
Author of the proposition
5.472
Author of the proposition
5.473
Author of the Tractatus, presenting the self-sufficiency of logic.
5.4731
Author of the Tractatus, presenting his critique of Russell's notion of self-evidence.
5.4732
Author of the aphorism, presenting a logical point about signs and sense.
5.47321
Author of the proposition, presenting a logical interpretation of Occam's razor.
5.4733
Wittgenstein presents his own view that every possible proposition is legitimately constructed, and lack of sense is due to missing meaning in constituents.
5.474
Author of the proposition
5.475
The author and speaker of the proposition.
5.476
The author presenting the philosophical point.
5.5
Author of the proposition defining truth-functions via successive negation.
5.501
Author of the Tractatus, explaining the notation for propositional expressions.
5.502
Author of the Tractatus, introducing notational simplification for logical operations.
5.503
Author of the Tractatus, presenting the requirement for exact expression of proposition construction.
5.51
Author of the Tractatus, presenting the N-operator as a fundamental logical operation.
5.511
Author of the Tractatus, presenting the argument about logic and its mirroring of the world.
5.512
Author of the Tractatus, presenting the logical analysis of negation.
5.513
Author of the proposition
5.514
Author of the Tractatus, presenting the relationship between notation, rules, and sense.
5.515
Author of the Tractatus, presenting the logical requirement that connectives only apply to propositions.
5.5151
Author of the proposition, examining the relationship between positive and negative propositions.
5.52
Author of the proposition, defining logical notation for the general form of propositions.
5.521
Author of the Tractatus, presenting his critique of Frege and Russell's treatment of generality.
5.522
Author of the Tractatus, presenting the nature of generality in logical symbolism.
5.523
Author of the proposition
5.524
Author of the proposition.
5.525
Author of the Tractatus; presents a critique of Russell's interpretation of existential propositions.
5.526
Author of the proposition, presenting the idea that fully generalized propositions suffice for a complete description of the world.
5.5261
Author of the proposition, presenting the argument about generalized propositions.
5.5262
Author of the proposition, presenting the relationship between truth-values of propositions and the structure of the world.
5.53
Author of the proposition, presenting his view on identity and signs.
5.5301
Author of the Tractatus, presenting the argument that identity is not a relation between objects.
5.5302
Wittgenstein presents the critique of Russell's definition.
5.5303
Author of the proposition critiquing identity statements.
5.531
Author of the proposition, refining logical notation to eliminate the identity sign.
5.532
Author of the Tractatus, presenting a refined logical notation that eliminates the identity sign.
5.5321
Author of the Tractatus, presenting a logical notation that eliminates the identity sign.
5.533
Author of the proposition asserting the non-essential nature of the identity sign in logical notation.
5.534
Author of the Tractatus, presenting the critique of identity propositions.
5.535
Author of the Tractatus, presenting his critique of Russell's Axiom of Infinity.
5.5351
Author of the critique
5.5352
Author of the critique
5.54
Author of the proposition, articulating the role of propositions in truth-operations.
5.541
Author of the Tractatus, presenting his critique of psychological proposition forms.
5.542
Author of the Tractatus, presenting the analysis of propositional attitudes.
5.5421
Author of the proposition, critiquing the superficial psychological conception of the soul.
5.5422
Author of the critique, presenting the condition for a correct explanation of judgment.
5.5423
Author of the proposition, exploring the nature of perception and complexes.
5.55
Author of the proposition; presents the a priori question about elementary propositions.
5.551
Author of the principle that logical questions are decidable offhand.
5.552
Author of the Tractatus; presents the distinction between logical 'experience' and empirical experience.
5.5521
Author of the aphorism, posing a rhetorical question about the relationship between logic and the world.
5.553
Wittgenstein presents his critique of Russell's position on the number of individuals and relations.
5.554
Author of the proposition
5.5541
Poses a rhetorical question about the a priori necessity of complex relational signs.
5.5542
The author of the proposition, questioning the limits of sign forms and sense.
5.555
Author of the Tractatus, presenting the argument about elementary propositions and logical form.
5.556
Author of the proposition, asserting the impossibility of a hierarchy of elementary proposition forms.
5.5561
Author of the proposition
5.5562
Author of the proposition; asserts the logical necessity of elementary propositions.
5.5563
Author of the proposition, arguing for the logical completeness of ordinary language.
5.557
Author of the Tractatus, presenting the relationship between logic and its application.
5.5571
Author of the proposition, asserting the impossibility of giving elementary propositions a priori.
5.6
Author of the proposition, presenting a key solipsistic and linguistic limit.
5.61
Author of the proposition; presents the argument that logic cannot transcend the limits of the world.
5.62
Author of the remark; presents the key to understanding solipsism as a truth that shows itself.
5.621
Author of the proposition linking world and life.
5.63
Author of the proposition asserting the self as the world.
5.631
Author of the Tractatus, presenting the argument against the existence of the thinking subject.
5.632
Author of the proposition, presenting the subject as a limit of the world.
5.633
The author presenting the argument about the metaphysical subject and the eye-field analogy.
5.6331
The author of the remark, presenting an observation about the form of the field of sight.
5.634
Author of the proposition, asserting the contingency of experience.
5.64
Author of the Tractatus; presents the argument that solipsism and realism converge.
5.641
Author of the proposition, articulating the distinction between the psychological self and the metaphysical subject.
The General Form of Proposition
Author of the Tractatus, presenting the general form of proposition.
6.001
Author of the Tractatus, presenting the general form of proposition.
6.01
Author of the Tractatus, presenting the formal definition of the general operation.
6.02
Defines numbers via formal rules and the operation Ω.
6.022
Author of the proposition, defining number and numerical equality in terms of general form.
6.03
Author of the proposition defining the general form of cardinal numbers.
6.031
Author of the proposition
6.1
Author of the proposition that logic consists of tautologies.
6.11
Author of the proposition, presenting his view on logical propositions.
6.111
Author of the Tractatus, presenting the critique of substantial theories of logic.
6.112
Author of the proposition, asserting the need for a correct explanation of logical propositions.
6.113
Author of the Tractatus, presenting the distinctive mark of logical propositions.
6.12
Author of the Tractatus, presenting the nature of logical tautologies.
6.1201
Author of the Tractatus, presenting examples of tautologies to demonstrate logical relations.
6.1202
Author of the proposition
6.1203
Author of the Tractatus, presenting a method for recognizing tautologies.
6.121
Author of the Tractatus, presenting the zero-method for logical propositions.
6.122
Author of the proposition, presenting the argument about logical propositions and notation.
6.1221
Author of the Tractatus, presenting the logical method for demonstrating inference through tautology.
6.1222
The author presenting the argument about logical propositions and their independence from empirical confirmation or refutation.
6.1223
Author of the Tractatus; explains the nature of logical truths and notation.
6.1224
Author of the proposition, explaining the traditional characterization of logic.
6.123
Author of the Tractatus, presenting his critique of Russell's theory of logical types.
6.1231
Author of the proposition, presenting a critique of generality in logic.
6.1232
Author of the Tractatus, presenting his critique of logical propositions.
6.1233
Author of the proposition, asserting the contingency of the axiom of reducibility and the independence of logic from empirical fact.
6.124
Author of the Tractatus, presenting the nature of logical propositions as the scaffolding of the world.
6.125
The author of the proposition, reflecting on the possibility of describing all true logical propositions under the old conception of logic.
6.1251
Author of the proposition asserting the absence of surprises in logic.
6.126
Author of the Tractatus, presenting the nature of logical propositions and proof.
6.1261
Author of the proposition
6.1262
Author of the proposition
6.1263
Author of the Tractatus, presenting the distinction between proofs of significant propositions and logical proofs.
6.1264
Author of the proposition
6.1265
Author of the proposition
6.127
Author of the proposition, presenting the view on logical propositions.
6.13
Author of the proposition, presenting logic as transcendental.
6.2
Author of the proposition
6.21
Author of the proposition that mathematical propositions express no thoughts.
6.211
Author of the proposition, presenting his view on the role of mathematical propositions in life and philosophy.
6.22
Author of the proposition; presents the analogy between logical tautologies and mathematical equations.
6.23
Author of the proposition
6.231
Author of the Tractatus; presents the formal properties of affirmation and numerical grouping.
6.2321
Author of the proposition, presenting the view that mathematical proof is a matter of internal insight rather than factual correspondence.
6.2322
Author of the proposition; presents a logical argument about the impossibility of asserting identity of meaning.
6.2323
Author of the proposition, presenting a view on the nature of equations.
6.233
Author of the proposition, asserting that language supplies intuition in mathematics.
6.2331
Author of the proposition, defining the nature of calculation.
6.234
Author of the proposition, presenting the view that mathematics functions as a method within logic.
6.2341
Author of the proposition, presenting his view on mathematical method.
6.24
Author of the proposition; explains the method of mathematics as substitution.
6.241
Author of the proof and the logical notation used.
6.31
Author of the proposition
6.32
Author of the proposition
6.321
Author of the Tractatus, presenting the idea that the law of causality is a class name and comparing it to minimum-laws in mechanics.
6.3211
Author of the proposition; presents the observation about the law of least action.
6.33
Author of the proposition
6.34
Author of the proposition, presenting his view on the nature of scientific laws.
6.341
Author of the Tractatus; presents the analogy of the network to explain how Newtonian mechanics imposes a form of description.
6.342
Author of the Tractatus, presenting the analogy between logic and mechanics.
6.343
Author of the proposition
6.3432
Author of the proposition
6.35
Author of the proposition, discussing the relationship between geometrical networks and empirical facts.
6.36
Author of the proposition and the argument about the law of causality showing itself.
6.361
Author of the proposition, referencing Hertz's terminology.
6.3611
Author of the proposition, presenting a critique of the notion of time as an independent process.
6.36111
Author of the Tractatus, presenting a logical analysis of the Kantian problem of incongruent counterparts.
6.363
Author of the proposition on induction.
6.3631
Author of the proposition, critiquing the logical basis of induction.
6.36311
Author of the proposition regarding the hypothetical nature of the sun's rising.
6.37
Author of the proposition asserting the absence of causal necessity.
6.371
Author of the proposition critiquing the modern view of natural laws.
6.373
Author of the proposition asserting the independence of the world from the will.
6.374
Author of the proposition, presenting the argument about the lack of logical connection between will and world.
6.375
Author of the proposition
6.3751
Author of the proposition, presenting the logical impossibility of two colors occupying the same visual field point.
6.4
Author of the proposition that all propositions are of equal value.
6.41
Presents the argument that the sense of the world and all value must lie outside the world, as everything within it is accidental.
6.42
Author of the proposition asserting the impossibility of ethical propositions.
6.421
Author of the proposition asserting the inexpressibility and transcendental nature of ethics.
6.422
Author of the proposition, articulating the nature of ethical reward and punishment as intrinsic to action.
6.423
Author of the proposition, drawing the distinction between the ethical will and the psychological will.
6.43
Author of the proposition; presents the ethical implications of willing and the transformation of the world's limits.
6.431
Author of the proposition, presenting a metaphysical view of death.
6.4311
The author of the proposition, presenting his view on death and eternity.
6.4312
The author of the proposition, presenting his critique of temporal immortality and the nature of life's riddle.
6.432
Author of the proposition, articulating the separation between worldly facts and the transcendent.
6.4321
Author of the proposition distinguishing facts from the performance of life.
6.44
Author of the proposition distinguishing the mystical from factual description.
6.45
Author of the proposition, presenting the mystical feeling as the contemplation of the world as a limited whole.
6.5
Author of the proposition; presents the logical relationship between questions and answers.
6.51
Author of the argument against skepticism.
6.52
The author presenting the argument that scientific answers do not address the problems of life.
6.522
The author of the proposition, articulating the nature of the inexpressible.
6.53
Author of the Tractatus; presents the correct method of philosophy as silence on metaphysics and critique of meaningless signs.
6.54
The speaker who declares his propositions elucidatory yet senseless, urging the reader to throw away the ladder after climbing it.
7
The author of the Tractatus, presenting the culminating ethical and mystical conclusion.

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