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Conjecture: Works, Resolution of conjectures & Important examples

In mathematics, a conjecture is a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis or Fermat's conjecture (now a theorem, proven in 1995 by Andrew Wiles), have shaped much of mathematical history as new areas of mathematics are developed in order to prove them.

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Conjecture topic overview

The analysis highlights Works, Resolution of conjectures and Important examples as prominent areas in the source structure around Conjecture.

Related topics
127
Source areas
6
Connected nodes
133
Extracted relationships
139
Concept neighborhoods
49
Bridge connections
133

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Important examples · 79 topics
Resolution of conjectures · 23 topics
Works cited · 11 topics
Overview · 7 topics
Conditional proofs · 4 topics
In other sciences · 3 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Resolution of conjectures

Conditional proofs

Important examples

In other sciences

Works cited

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Conjecture connects Entity context

The extracted context around Conjecture shows recurring relationship patterns in the source. For example, Conjecture → Alexander, American Journal, Bernard, BF02684373, Deligne, Formule, France, IHÉS, ISSN, JSTOR, La, Lefschetz, Mathematics, MR, No, On, Paris, Pierre, Publications Mathématiques, S2CID Another extracted example is Conjecture → America, Arizona, Colorado, England, For, Francis Guthrie, In, Möbius, New Mexico, October, The, Two, United States, Utah. Use these groups to spot repeated connection types before inspecting the individual relationships.

Conjecture

Top relations

related to Works cited · 24
Conjecture → Alexander, American Journal, Bernard, BF02684373, Deligne, Formule, France, IHÉS, ISSN, JSTOR, La, Lefschetz, Mathematics, MR, No, On, Paris, Pierre, Publications Mathématiques, S2CID
related to Four color theorem · 14
Conjecture → America, Arizona, Colorado, England, For, Francis Guthrie, In, Möbius, New Mexico, October, The, Two, United States, Utah
related to P versus NP problem · 14
Conjecture → Clay Mathematics Institute, Considered, Gödel, Informally, It, John, Kurt Gödel, Millennium Prize Problems, Neumann, NP, NP-complete, Stephen Cook, The, US
related to Fermat's Last Theorem · 12
Conjecture → Andrew Wiles, Arithmetica, Fermat, Fermat's, Fermat's Last Theorem, Guinness Book, In, It, Pierre, The, This, World Records
related to Other conjectures · 11
Conjecture → Collatz, Euler, Goldbach's, Hardy-Littlewood, It, Lie, Maldacena, Manin, Neither, Some, The Langlands
related to Riemann hypothesis · 11
Conjecture → Along, BernhardRiemann, Clay Mathematics Institute Millennium, David Hilbert's, Goldbach, Hilbert's, In, Prize Problems, Riemann, The, The Riemann
related to Hauptvermutung · 9
Conjecture → German, It, John Milnor, Reidemeister, Steinitz, The, The Hauptvermutung, This, Tietze
related to Independent conjectures · 8
Conjecture → Euclid's, Euclidean, Fraenkel, In, It, Not, The, Zermelo
related to Proof · 8
Conjecture → Collatz, For, Formal, However, In, Mathematical, Nevertheless, That
related to Conditional proofs · 6
Conjecture → Few, For, In, Riemann, Sometimes, These

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

theorem hypothesis proof mathematics conjectures proven problem number riemann counterexample false one first color four true proofs computer called poincaré

Conjecture relationships Subject–Predicate–Object triples

TTTA extracted 139 structured relationships around Conjecture. Examples in this analysis include Conjecture → is a → proposition that is proffered on a tentative basis without proof and Conjecture → is a → theorem about the characterization of the 3-sphere. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Conjectureis aproposition that is proffered on a tentative basis without proof0.90text
Conjectureis atheorem about the characterization of the 3-sphere0.90text
Conjecturerelated to Conditional proofsSometimes0.60section
Conjecturerelated to Conditional proofsFor0.60section
Conjecturerelated to Conditional proofsRiemann0.60section
Conjecturerelated to Conditional proofsFew0.60section
Conjecturerelated to Conditional proofsIn0.60section
Conjecturerelated to Conditional proofsThese0.60section
Conjecturerelated to DisproofConjectures0.60section
Conjecturerelated to DisproofPólya0.60section
Conjecturerelated to DisproofEuler's0.60section
Conjecturerelated to DisproofIn0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Conjecture bring nearby vocabulary together. In this analysis, examples include Hypothesis, Mathematics and Proven. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Conjecture
    • Hypothesis
    • Mathematics
    • Proven
    • False
    • Conjectures
    • Poincaré
    • Riemann
    • Theorem
    • Fermat's
    • Proof
    • Number
    • Last
  • conjecture
    • Hypothesis
    • Mathematics
    • Proven
    • False
    • Conjectures
    • Poincaré
    • Riemann
    • Theorem
    • Fermat's
    • Proof
    • Number
    • Last
  • mathematics
    • Riemann
    • Important
    • Problem
    • Hypothesis
    • Theorem
    • Conjectures
    • Number
    • Fermat's
    • Mathematical
    • Weil
    • Also
    • Poincaré
  • proof
    • Mathematicians
    • Theorem
    • Number
    • Proofs
    • Four
    • First
    • Problem
    • Counterexamples
    • Last
    • Weil
    • Could
    • De
  • riemann hypothesis
    • Riemann
    • Also
    • Last
    • Mathematics
    • Numbers
    • Proofs
    • Fermat's
    • New
    • Weil
    • Theory
    • Number
    • Problem
  • fermat's conjecture
    • Last
    • Important
    • Poincaré
    • Theorem
    • Hypothesis
    • Mathematics
    • Proven
    • False
    • Riemann
    • Conjectures
    • Mathematical
    • New
  • collatz conjecture
    • Hypothesis
    • Mathematics
    • Proven
    • False
    • Conjectures
    • Poincaré
    • Riemann
    • Theorem
    • Fermat's
    • Proof
    • Number
    • Last
  • four color theorem
    • Four
    • Theorem
    • Map
    • Proofs
    • States
    • Proven
    • Called
    • First
    • Number
    • Mathematics
    • Counterexamples
    • Fermat's

Connections between topic areas Semantic bridges

For Conjecture, one of the stronger structural bridges in this analysis connects Conjecture with Important examples. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Conjecture — Important examples · splits 54 ⟂ 80
Conjecture — Resolution of conjectures · splits 110 ⟂ 24
Conjecture — Works cited · splits 122 ⟂ 12
Conjecture — Overview · splits 126 ⟂ 8
Conjecture — Conditional proofs · splits 129 ⟂ 5
Conjecture — In other sciences · splits 130 ⟂ 4

Map overview Semantic statistics

Conjecture

Nodes134
Edges133
Triples139
Avg. degree1.99
Density0.014925
Components1

Source & methodology

TTTA analyzes the structure around Conjecture to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Works, Resolution of conjectures & Important examples, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Conjecture · EN edition · Analysis: TopicsToTalkAbout

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