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Mathematical concept
Instances
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Controversial
Uncontroversial
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Worst
Controversial
Uncontroversial
Infinity
N
0%
Mathematical concept
Platonic solid
Y
100%
Any of the five regular polyhedra
Riemannian manifold
Y
100%
Smooth manifold with an inner product on each tangent space
Space (mathematics)
Y
100%
Mathematical set with some added structure
Shape
Y
95%
Form of an object or its external boundary
Function (mathematics)
Y
93%
Association of one output to each input
dyad
Y
91%
set of two entities
Property (mathematics)
Y
90%
mathematical concept
Mathematical theory
Y
88%
mathematical model that is based on axioms
Fibonacci number
Y
78%
integer in the infinite Fibonacci sequence
Harshad number
Y
78%
Integer divisible by sum of its digits
Set (mathematics)
Y?
62%
Collection of mathematical objects
Correlation
N
0%
Statistical concept
Entropy (information theory)
?
TBD
Expected amount of information needed to specify the output of a stochastic data source
Trigonometric constants expressed in real radicals
?
TBD
mathematical concept
property graph
?
TBD
a triple graph where properties may have associated values
Curve orientation
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TBD
Property of a planar simple closed curve
Hopf algebra
?
TBD
Construction in algebra
Mersenne prime
?
TBD
Prime number of the form 2^n – 1
Kaprekar number
?
TBD
Base-dependent property of integers
Permutation
?
TBD
Mathematical version of an order change
Hamming distance
?
TBD
Number of bits that differ between two strings
Riemann zeta function
?
TBD
Analytic function in mathematics
Harmonic divisor number
?
TBD
Positive integer whose divisors have a harmonic mean that is an integer
Mathematical proof
?
TBD
Reasoning for mathematical statements
Interpretation (logic)
?
TBD
Assignment of meaning to the symbols of a formal language
Interpretation (model theory)
?
TBD
Concept in model theory
potential infinity and actual infinity
?
TBD
dichotomy in the philosophy of mathematics between infinite objects as non-terminating processes versus completed entities
Absolute infinite
?
TBD
Concept in philosophy and set theory
Topological space
?
TBD
Mathematical space with a notion of closeness
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