statement
P4223
predicate
Indicates that an entity makes, issues, or expresses a declarative assertion, claim, or remark about something.
All labels observed (14)
| Label | Occurrences |
|---|---|
| statement canonical | 141 |
| statedAs | 42 |
| stated | 18 |
| typicalStatement | 13 |
| positionStatement | 12 |
| statementAbout | 8 |
| statementContent | 7 |
| publicStatement | 4 |
| statementInformal | 4 |
| madeStatement | 3 |
| directorStatement | 2 |
| preludeStatement | 2 |
| statedInApology | 1 |
| typicalStatementForm | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: statement
Generated description
Indicates that an entity makes, issues, or expresses a declarative assertion, claim, or remark about something.
Sample triples (258)
| Subject | Object |
|---|---|
| Feynman–Hellmann theorem | For an eigenstate |n(λ)⟩ of H(λ) with eigenvalue E_n(λ), dE_n(λ)/dλ = ⟨n(λ)| ∂H(λ)/∂λ |n(λ)⟩ ⓘ |
| The Business of Happiness | true success requires more than financial achievement via predicate surface "positionStatement" ⓘ |
| The Business of Happiness | pursuing happiness and meaning can enhance business performance via predicate surface "positionStatement" ⓘ |
| The Business of Happiness | serving others is a core component of lasting success via predicate surface "positionStatement" ⓘ |
| Ann Putnam Jr. | that she had been deluded by Satan via predicate surface "statedInApology" ⓘ |
| Surgeon General’s Report on Smoking and Health | cigarette smoking is a health hazard of sufficient importance to warrant appropriate remedial action via predicate surface "stated" ⓘ |
| abdication crisis of 1936 | Edward VIII declared he could not carry on the heavy burden of responsibility without the help and support of the woman he loved via predicate surface "publicStatement" ⓘ |
| categorical imperative | Act only according to that maxim whereby you can at the same time will that it should become a universal law via predicate surface "statedAs" ⓘ |
| categorical imperative | So act that you use humanity, whether in your own person or in the person of any other, always at the same time as an end and never merely as a means via predicate surface "statedAs" ⓘ |
| categorical imperative | Act only so that the will can regard itself as at the same time making universal law through its maxims via predicate surface "statedAs" ⓘ |
| Burali-Forti paradox | The collection of all ordinal numbers cannot form a set without contradiction ⓘ |
| Minkowski inequality | For 1 ≤ p < ∞ and measurable functions f,g with finite L^p norms, ||f+g||_p ≤ ||f||_p + ||g||_p ⓘ |
| Minkowski inequality |
Minkowski inequality
self-linksurface differs
ⓘ
surface form:
For sequences (x_k),(y_k) in ℓ^p, (∑|x_k + y_k|^p)^{1/p} ≤ (∑|x_k|^p)^{1/p} + (∑|y_k|^p)^{1/p}
|
| Brouwer fixed-point theorem | Every continuous function from a closed n-dimensional ball to itself has at least one fixed point. ⓘ |
| Brouwer fixed-point theorem | Every continuous function from a compact convex subset of R^n to itself has at least one fixed point. ⓘ |
| Church–Turing thesis | every effectively calculable function is computable by a Turing machine via predicate surface "statedAs" ⓘ |
| Church–Turing thesis | any effectively computable function can be computed by a general recursive function via predicate surface "statedAs" ⓘ |
| Church–Turing thesis | any effectively computable function can be computed by a λ‑definable function via predicate surface "statedAs" ⓘ |
| Kennan’s Long Telegram | Soviet leadership combined Marxist ideology with traditional Russian insecurity via predicate surface "stated" ⓘ |
| Kennan’s Long Telegram | the Soviet system had internal weaknesses via predicate surface "stated" ⓘ |
|
Kepler’s laws of planetary motion
surface form:
Kepler’s first law
|
The orbit of every planet is an ellipse with the Sun at one of the foci. ⓘ |
|
Kepler’s laws of planetary motion
surface form:
Kepler’s second law
|
A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time. ⓘ |
|
Kepler’s laws of planetary motion
surface form:
Kepler’s third law
|
The square of a planet’s orbital period is proportional to the cube of the semi-major axis of its orbit. ⓘ |
|
Gauss’s lemma in number theory
surface form:
Gauss’s lemma (number theory)
|
Let p be an odd prime and a an integer coprime to p. Consider the numbers a,2a,3a,…,((p−1)/2)a reduced modulo p into the interval (−p/2,p/2]. Let n be the number of these residues that are negative. Then (a|p) = (−1)^n, where (a|p) is the Legendre symbol. ⓘ |
| Gaston Vidal |
athletes' oath
via predicate surface "madeStatement"
ⓘ
surface form:
Olympic Oath at the 1924 Summer Olympics in Paris
|
| Riemann mapping theorem | Every non-empty simply connected open subset of the complex plane that is not the entire plane is conformally equivalent to the open unit disk ⓘ |
| Riemann–Lebesgue lemma | If f is integrable on [−π,π], then its Fourier coefficients tend to 0 as the frequency index tends to infinity. ⓘ |
| Riemann–Lebesgue lemma | If f is in L¹(ℝⁿ), then its Fourier transform tends to 0 at infinity. ⓘ |
| equipartition theorem | each independent quadratic degree of freedom contributes an average energy of (1/2)kT via predicate surface "statedAs" ⓘ |
| No Compromise with Slavery | slavery must be immediately abolished via predicate surface "positionStatement" ⓘ |
| No Compromise with Slavery | no political compromise with slaveholders is acceptable via predicate surface "positionStatement" ⓘ |
| No Compromise with Slavery | moral suasion is necessary to end slavery via predicate surface "positionStatement" ⓘ |
| No Compromise with Slavery | the U.S. Constitution is complicit with slavery via predicate surface "positionStatement" ⓘ |
| No Compromise with Slavery | participation in proslavery political structures is morally wrong via predicate surface "positionStatement" ⓘ |
| identity of indiscernibles | no two distinct entities can share all the same properties via predicate surface "statedAs" ⓘ |
| Hölder inequality | For conjugate exponents p and q, ||fg||₁ ≤ ||f||_p ||g||_q ⓘ |
| Hölder inequality | For sequences (aᵢ) in ℓᵖ and (bᵢ) in ℓᵠ, Σ|aᵢ bᵢ| ≤ ||a||_p ||b||_q ⓘ |
| Hölder inequality | For measurable f in Lᵖ and g in Lᵠ, ∫|fg| ≤ ||f||_p ||g||_q ⓘ |
| Brazzaville Conference | affirmed that the French Empire would remain united after the war ⓘ |
| Brazzaville Conference | denied the possibility of autonomy and secession in the near term ⓘ |
| Brazzaville Conference | recognized the need to improve the status of colonial subjects ⓘ |
|
Joseph
surface form:
Joe Namath
|
famously guaranteed a victory in Super Bowl III ⓘ |
|
Clarke's three laws
surface form:
First law of Clarke
|
When a distinguished but elderly scientist states that something is possible, he is almost certainly right. When he states that something is impossible, he is very probably wrong. ⓘ |
|
Clarke's three laws
surface form:
Second law of Clarke
|
The only way of discovering the limits of the possible is to venture a little way past them into the impossible. ⓘ |
|
Clarke's three laws
surface form:
Third law of Clarke
|
Any sufficiently advanced technology is indistinguishable from magic. ⓘ |
| Weierstrass approximation theorem | Every continuous real-valued function on a closed and bounded interval can be uniformly approximated by polynomials. ⓘ |
| Weierstrass M-test | If |f_n(x)| ≤ M_n for all x and ∑ M_n converges, then ∑ f_n(x) converges uniformly via predicate surface "typicalStatementForm" ⓘ |
| Ludwik Fleck | scientific facts are shaped by social and historical conditions via predicate surface "stated" ⓘ |
| Ludwik Fleck | what counts as a scientific fact depends on a thought collective via predicate surface "stated" ⓘ |
| Carathéodory’s theorem in convex geometry | Any point in the convex hull of a subset of ℝⁿ can be written as a convex combination of at most n+1 points of that subset. ⓘ |