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gptkbp:instance_of
|
gptkb:theorem
|
|
gptkbp:can_be_explained_through
|
gptkb:Example
|
|
gptkbp:can_be_found_in
|
Academic Journals
|
|
gptkbp:can_be_refined_by
|
gptkb:Feedback
|
|
gptkbp:can_be_used_in
|
Computer Science
|
|
gptkbp:can_be_used_to
|
Support Arguments
Clarify Concepts
Demonstrate Theorems
Develop Algorithms
Support Theories
Verify Claims
|
|
gptkbp:constructed_in
|
Deductive Reasoning
|
|
gptkbp:developed_by
|
gptkb:collaboration
gptkb:research
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Actual Proof
|
|
gptkbp:integrates_with
|
Mathematical Foundations
Mathematical Theories
|
|
gptkbp:is_aimed_at
|
Enhancing Understanding
Establishing Validity
|
|
gptkbp:is_analyzed_in
|
Mathematicians
|
|
gptkbp:is_applied_in
|
gptkb:analysis
Real-World Problems
|
|
gptkbp:is_associated_with
|
Proof Techniques
|
|
gptkbp:is_atype_of
|
Proof
|
|
gptkbp:is_based_on
|
Logical Deduction
|
|
gptkbp:is_challenged_by
|
Counterexamples
Alternative Theories
|
|
gptkbp:is_characterized_by
|
Rigorous Argument
|
|
gptkbp:is_cited_in
|
Research Literature
|
|
gptkbp:is_considered
|
Experiments
A Critical Skill
A Foundation of Mathematics
|
|
gptkbp:is_documented_in
|
Textbooks
Theses
|
|
gptkbp:is_essential_for
|
Scientific Research
Academic Integrity
Mathematical Rigor
|
|
gptkbp:is_evaluated_by
|
Peer Review
Logical Consistency
|
|
gptkbp:is_explored_in
|
gptkb:Workshops
Research Papers
Case Studies
|
|
gptkbp:is_expressed_in
|
Logical Symbols
|
|
gptkbp:is_fundamental_to
|
Mathematical Logic
Mathematical Proof Theory
|
|
gptkbp:is_influenced_by
|
Historical Context
|
|
gptkbp:is_often_compared_to
|
Empirical Evidence
|
|
gptkbp:is_often_discussed_in
|
Academic Seminars
|
|
gptkbp:is_often_required_in
|
Professional Fields
|
|
gptkbp:is_often_used_in
|
Theorem Proving
|
|
gptkbp:is_part_of
|
Mathematical Discourse
|
|
gptkbp:is_recognized_by
|
Mathematical Community
|
|
gptkbp:is_related_to
|
gptkb:Logic
|
|
gptkbp:is_represented_in
|
Formal Language
Equations
Natural Language
Diagrams
|
|
gptkbp:is_subject_to
|
Mathematical Standards
Mathematical Critique
|
|
gptkbp:is_taught_in
|
Mathematics Education
|
|
gptkbp:is_used_in
|
gptkb:Mathematics
|
|
gptkbp:is_used_to
|
Establish Truth
|
|
gptkbp:is_utilized_for
|
gptkb:crypt
gptkb:philosophy
Data Analysis
Problem Solving
Algorithm Design
|
|
gptkbp:presented_by
|
Conferences
|
|
gptkbp:requires
|
Axioms
Advanced Studies
|
|
gptkbp:scientific_classification
|
Constructive Proof
Non-constructive Proof
Informal Proof
|
|
gptkbp:was_akey_figure_in
|
Theoretical Mathematics
|
|
gptkbp:bfsParent
|
gptkb:Herbie_Hancock
|
|
gptkbp:bfsLayer
|
4
|