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Concept in propositional logic
In propositional logic, tautological consequence is a strict form of logical consequence in which the tautologousness of a proposition is preserved from
Tautological_consequence
Topics referred to by the same term
Look up tautological in Wiktionary, the free dictionary. In mathematics, tautological may refer to: Logic: Tautological consequence Geometry, where it
Tautological
Relationship where one statement follows from another
(logic) Tautological consequence Therefore sign Turnstile (symbol) Double turnstile Validity Beall, JC and Restall, Greg, Logical Consequence The Stanford
Logical_consequence
In logic, a statement which is always true
non-explicit (implicita). In the former case analytic propositions are tautological. Here, analytic proposition refers to an analytic truth, a statement
Tautology_(logic)
Theory of subatomic structure
observed universe has a small cosmological constant is just a tautological consequence of the fact that a small value is required for life to exist. Many
String_theory
Canonical differential form
In mathematics, the tautological one-form is a special 1-form defined on the cotangent bundle T ∗ Q {\displaystyle T^{*}Q} of a manifold Q . {\displaystyle
Tautological_one-form
Idea that refutes itself
taken to be true (tautological assumptions), and cannot be used to test themselves, for doing so would lead to only two consequences: consistency (circular
Self-refuting_idea
construction and checking of truth tables and related notions (tautology, tautological consequence, etc.); Fitch (named after Frederic Brenton Fitch) - a natural
Language,_Proof_and_Logic
Branch of logic
atoms, a truth table can show whether a proposition is true, false, tautological, or contradictory. See § Semantic proof via truth tables. A semantic
Propositional_logic
supposed unfalsifiability of evolution is that natural selection is tautological. Specifically, it is often argued that the phrase "survival of the fittest"
Objections_to_evolution
derived from a common intellectual property. Traditionally, the work has a tautological relationship with the property, but this is not a prerequisite. An enduring
List of highest-grossing films
List_of_highest-grossing_films
Graphical set representation involving overlapping shapes
in a subsequent deduction (or as a topic of conversation). The use of tautological implication means that other possible deductions exist besides "No Xs
Euler_diagram
Principle suggesting that time travel paradoxes are inherently impossible
authors write: That the principle of self-consistency is not totally tautological becomes clear when one considers the following alternative: The laws
Novikov self-consistency principle
Novikov_self-consistency_principle
Interplay between observation, experiment, and theory in science
tautological, i.e. internally logically true, by rewriting forms, as shown by Poincaré, who demonstrated the technique of transforming tautologically
Scientific_method
terms of the linear system of divisors on V cut out by the dual of the tautological line bundle on projective space, and its d-th powers for d = 1, 2, 3
Homogeneous_coordinate_ring
Mathematical concept
pullback of the Maurer–Cartan form along some section of the tautological bundle. This is a consequence of the existence of primitives of the Darboux derivative
Maurer–Cartan_form
Mental illness with multiple personality states
features. The DSM-IV-TR criteria have also been criticized for being tautological, using imprecise and undefined language and for the use of instruments
Dissociative identity disorder
Dissociative_identity_disorder
Possible truths which are not necessary
may happen to be true in every possible world but not as a matter of tautological necessity, only as a matter of coincidence. (Gensler 2017, p. 231) (Kripke
Contingency_(philosophy)
Measure of curvature in differential geometry
curvature. For example, there is a complete Riemannian metric on the tautological line bundle over real projective space, constructed as a warped product
Scalar_curvature
Physics of the cause–effect relation
Newton's second law was pleonastic, tautological and superfluous and, as indicated above, is not considered a consequence of any principle of causality. Indeed
Causality_(physics)
Type of logical contradiction
article, because the antecedent is false. Given that such problematic consequences follow from an extremely popular and widely accepted model of reasoning
Paradoxes of material implication
Paradoxes_of_material_implication
Informal logical fallacy
something so undesirable"; i.e., the people who would do such a thing are tautologically (definitionally) excluded from being part of our group such that they
No_true_Scotsman
Personality construct
psychopathy has also been criticized for being reductionist, dismissive, tautological, and ignorant of context as well as the dynamic nature of human behavior
Psychopathy
Type of non-monotonic logic
prerequisite-free if it has no prerequisite (or, equivalently, its prerequisite is tautological). A default is normal if it has a single justification that is equivalent
Default_logic
Manifold of all orthonormal k-frames in n-dimensional Euclidean space
natural action of G on F k {\displaystyle \mathbb {F} ^{k}} are just the tautological bundles over the Grassmannians. In other words, the Stiefel manifold
Stiefel_manifold
ISBN 978-0-571-28198-5. The KLF's 1990 Chill Out album had pioneered the tautological 'ambient house', mixing train noises, post-punk dub and pre-punk Floyd
List of 1990s albums considered the best
List_of_1990s_albums_considered_the_best
Jewish nationalist movement
general, Zionism was left with a racial notion of Jewish identity: Tautologically, echoing antisemitic notions of Jewishness, it would argue that a Jew
Zionism
Laws in physics about force and motion
approach, indeed, can the exposition form a logical whole and avoid tautological definitions of the fundamental mechanical quantities. It is, moreover
Newton's_laws_of_motion
Scottish philosopher, historian, economist and essayist (1711–1776)
by experience, or else was true or false by definition (i.e., either tautological or contradictory), then it was meaningless. Hume, on this view, was a
David_Hume
Fiber bundle of the 3-sphere over the 2-sphere, with 1-spheres as fibers
over complex projective space. This is actually the restriction of the tautological line bundle over C P n {\displaystyle \mathbb {CP} ^{n}} to the unit
Hopf_fibration
Austrian–British philosopher of science (1902–1994)
tautology, and that he too had in the past described the theory as "almost tautological", and had tried to explain how the theory could be untestable (as is
Karl_Popper
Country in Southeast Asia
is derived from timur, meaning 'east' in Malay, thus resulting in a tautological place name meaning 'East East'. In Indonesian, this results in the name
Timor-Leste
Hypothesis about sapient life and the universe
is what it is whether we are here or not. Carter chose to focus on a tautological aspect of his ideas, which has resulted in much confusion. In fact, anthropic
Anthropic_principle
1969 non-fiction book by G. Spencer-Brown
(Gries & Schneider (1993)). Conventional mathematical logic consists of tautological formulae, signalled by a prefixed turnstile. To denote that the primary
Laws_of_Form
Object(s) postulated to exist by a given language
suggested. Instead, Quine argues by using examples that although there are tautological statements in a formal theory, like "all squares are rectangles", a formal
Ontological_commitment
Type of geometric transformation
q\colon {\tilde {\mathbf {C} ^{n}}}\to \mathbf {P} ^{n-1}} we obtain the tautological line bundle of P n − 1 {\displaystyle \mathbf {P} ^{n-1}} and we can
Blowing_up
Argentine writer (1899–1986)
the imperfection that they themselves are books, and not a whit less tautological than the others. A more reasonable, more inept, and more lazy man, I
Jorge_Luis_Borges
Mathematical parametrization of vector spaces by another space
E ⊕ E' is trivial. This fails if X is not compact: for example, the tautological line bundle over the infinite real projective space does not have this
Vector_bundle
Multiple states under one central authority, usually created by conquest
authors, knowing the outcome (empire), write either teleological or tautological histories. Thucydides and Polybius teleologically described empire as
Empire
Cultivating Attitude / Aptitude / Ability / Accountability
said to be built on "shaky philosophical and theoretical foundations, tautological reasoning, weak empirical studies, nonsensical measurement tools, unsupported
Authentic_leadership
Formulation of classical mechanics using momenta
correspondence between Lagrangian and Hamiltonian mechanics is achieved with the tautological one-form. Any smooth real-valued function H on a symplectic manifold
Hamiltonian_mechanics
Type of formal logic
Bayesian inference and the Dempster-Shafer theory, allowing that no non-tautological belief is completely (100%) irrefutable because it must be based upon
Paraconsistent_logic
{\mathcal {O}}_{X}} . O X ( − 1 ) {\displaystyle {\mathcal {O}}_{X}(-1)} The tautological line bundle. It is the dual of Serre's twisting sheaf O X ( 1 ) {\displaystyle
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
1953 book by Milton Friedman
that a useful economic theory should not be judged primarily by its tautological completeness, however important in providing a consistent system for
Essays_in_Positive_Economics
Mechanism of evolution by differential reproduction
often used by non-biologists, modern biologists avoid it because it is tautological if "fittest" is read to mean "functionally superior" and is applied to
Natural_selection
Metric on a complex projective space endowed with Hermitian form
tautological bundle Cn+1\{0}. It is to be understood properly as a tensor on CPn by pulling it back along a holomorphic section σ of the tautological
Fubini–Study_metric
Type of land tenure under Anglo-Saxon law
conjectural, with much room for disagreement. This accounts for the tautological definition: it represents an effort to be accurate while sidestepping
Bookland_(law)
American psychiatrist and journalist (1950–2018)
" Krauthammer was critical of intelligent design, "a self-enclosed, tautological 'theory' whose only holding is that when there are gaps in some area
Charles_Krauthammer
Argument by proponents of intelligent design
Wayback Machine makes the point that: if "irreducible complexity" is tautologically redefined to allow a valid argument that intelligent design is the correct
Irreducible_complexity
American biologist (1932–2026)
Earth with finite carrying capacity is irrefutable and, indeed, almost tautological. The only uncertainty concerns the timing and severity of the rebalancing
Paul_R._Ehrlich
Percent of variation in IQ scores in a given population associated with genetic variation
corresponding phenotypic intraclass correlation. However, this equation is tautological as the term r is defined in reference to variance among and between groups
Heritability_of_IQ
Logical paradox from vague predicates
irreferential singular terms and vagueness. It allows one to retain the usual tautological laws even when dealing with undefined truth values. An example of a proposition
Sorites_paradox
Mathematical transformation
this abstract setting, the Legendre transformation corresponds to the tautological one-form.[further explanation needed] The strategy behind the use of
Legendre_transformation
Result in algebraic geometry
genus g {\displaystyle g} and one marked point. Then, he defines the tautological classes K C ¯ g / M ¯ g = c 1 ( ω C ¯ g / M ¯ g ) κ l = π ∗ ( K C ¯ g
Grothendieck–Riemann–Roch theorem
Grothendieck–Riemann–Roch_theorem
could not be the study subject of a science. Nevertheless, and in a tautological approach, according to some of his critics, he would propose that museology's
Zbyněk_Zbyslav_Stránský
Propaganda technique
repeated enough, people believe it, and the very repetition almost tautologically becomes the support for the Lie. ... Hear something enough it becomes
Big_lie
Academic field
model, be it formalist, substantivist or Marxist, to be ethnocentric and tautological. In his view they all model relationships as mechanistic processes by
Economic_anthropology
Concept in philosophy of science
adapted to calculating the Earth's orbit, this is a mathematical but also tautological statement. Newtonian mechanics can answer the question, whether it is
Scientific_formalism
Christian theology
the spirit is distinct from the soul, or else these verses add up to tautological nonsense. We therefore conclude that man is not dichotomic (to use the
Tripartite_(theology)
Algebra with unique prime factorization
. {\displaystyle I^{*}=(R:I)=\{x\in K\mid xI\subset R\}.} One then tautologically has I ∗ I ⊂ R {\displaystyle I^{*}I\subset R} . In fact one has equality
Dedekind_domain
Religious rejection of evolution
later, Popper wrote, "I have in the past described the theory as 'almost tautological' ... I still believe that natural selection works in this way as a research
Rejection of evolution by religious groups
Rejection_of_evolution_by_religious_groups
American economist (born 1943)
battle of slogans "Money matters" or "Money doesn't matter." ... It is tautological to say that we will get good performance if we spend the money wisely
Eric_Hanushek
Branch of applied mathematics
exposition." Philosopher Karl Popper argued that mathematical economics was tautological, meaning it consisted merely of mathematics without connection to the
Mathematical_economics
Model of concept hierarchies
, 3 } , { a , c } ) {\textstyle (\{1,3\},\{a,c\})} for the RSL. Non-tautological implication relations signify the information contained in the formal
General_Concept_Lattice
Economic theory
the industry." McAfee et al. criticized this as being tautological by putting the "consequences of the definition into the definition itself." In 1968
Barriers_to_entry
French writer and philosopher
Janicaud, who sees in the immanence of life only “the affirmation of a tautological interiority”. On the other hand, Antoine Vidalin published in 2006 a
Michel_Henry
Field in logic and theoretical computer science
| {\displaystyle |x|} . TAUT is a formal language consisting of the tautological formulas of propositional logic. Big-O and big-Omega notation are used
Proof_complexity
English economist (1903–1992)
describing the flow of investment and the flow of saving as identically, tautologically equal, and within the same discourse, treating their equality as a condition
G._L._S._Shackle
Economic concept theorised by Karl Marx
beneficial for economic growth. In fact, the argument becomes rather tautological, i.e. market expansion is thought to be "what you mean" by economic growth
Surplus_product
Brazilian philosopher and politician
behavior of the rationalizing individual, making the analysis either tautological or reduced to a set of power relations translated into the language of
Roberto_Mangabeira_Unger
Logic formula
logical connectives is called complete if every propositional formula is tautologically equivalent to a formula with just the connectives in that set. There
Propositional_formula
TAUTOLOGICAL CONSEQUENCE
TAUTOLOGICAL CONSEQUENCE
Girl/Female
Arabic, Muslim
Result; Consequence
Girl/Female
Irish
Devotion to St. Catherine came to Ireland with Christianity. Revered for her courage and purity, Catherine in the Irish form, Cathleen, became such a popular name that W. B. Yeats chose it for the heroine of his 1899 play “The Countess Cathleen†which was inspired by an Irish folktale. In a time of famine the Devil offers food to the starving poor in exchange for their souls. But Cathleen convinces Satan to take her soul instead. When she dies the Devil comes to collect her soul but God intervenes and carries Cathleen to heaven, saying that “such a sacrificial act cannot justly lead to evil consequences.â€
Surname or Lastname
English
English : variant spelling of Chetwode, a habitational name from a place in Buckinghamshire named Chitwood, from Celtic cēd ‘wood’, with the tautological addition of Old English wudu when the old name was no longer understood.
Girl/Female
Irish
Devotion to St. Catherine came to Ireland with Christianity. Revered for her courage and purity, Catherine in the Irish form, Cathleen, became such a popular name that W. B. Yeats chose it for the heroine of his 1899 play “The Countess Cathleen†which was inspired by an Irish folktale. In a time of famine the Devil offers food to the starving poor in exchange for their souls. But Cathleen convinces Satan to take her soul instead. When she dies the Devil comes to collect her soul but God intervenes and carries Cathleen to heaven, saying that “such a sacrificial act cannot justly lead to evil consequences.â€
Girl/Female
Irish
Devotion to St. Catherine came to Ireland with Christianity. Revered for her courage and purity, Catherine in the Irish form, Cathleen, became such a popular name that W. B. Yeats chose it for the heroine of his 1899 play “The Countess Cathleen†which was inspired by an Irish folktale. In a time of famine the Devil offers food to the starving poor in exchange for their souls. But Cathleen convinces Satan to take her soul instead. When she dies the Devil comes to collect her soul but God intervenes and carries Cathleen to heaven, saying that “such a sacrificial act cannot justly lead to evil consequences.â€
TAUTOLOGICAL CONSEQUENCE
TAUTOLOGICAL CONSEQUENCE
Girl/Female
Muslim
Having a face like a fairy, Beautiful
Girl/Female
French, German
Spear Ruler
Boy/Male
Hindu
Girl/Female
Hindu, Indian, Sanskrit
Broad Minded
Boy/Male
Welsh
Legendary son of Arthur.
Girl/Female
Indian
Blossom
Girl/Female
Russian
Christian.
Girl/Female
Arabic, Muslim, Pashtun
Necklace of Flowers; Garland
Girl/Female
Hindu
Always
Boy/Male
Tamil
Blessed
TAUTOLOGICAL CONSEQUENCE
TAUTOLOGICAL CONSEQUENCE
TAUTOLOGICAL CONSEQUENCE
TAUTOLOGICAL CONSEQUENCE
TAUTOLOGICAL CONSEQUENCE
prep.
Effect; end; consequence; as, the prince was flattered to his ruin; he engaged in a war to his cost; violent factions exist to the prejudice of the state.
a.
Repeating the same thing in different words; tautological.
v. i.
To beat, or pulsate, with more than usual force or rapidity; to beat in consequence of agitation; to palpitate; -- said of the heart, pulse, etc.
a.
Suddenly raised to prominence or consequence.
a.
To tend, as to an effect or consequence; to incline.
a.
Not poised or weighed; hence, regardless of consequences; unhesitating.
a.
Involving tautology; having the same signification; as, tautological expression.
a.
Tautological.
n.
A bending or sinking between the ends of a thing, in consequence of its own, or an imposed, weight; an arching downward in the middle, as of a ship after straining. Cf. Hogging.
adv.
As a final consequence; at last; in the end; as, afflictions often tend to correct immoral habits, and ultimately prove blessings.
a.
Last in a train of progression or consequences; tended toward by all that precedes; arrived at, as the last result; final.
adv.
On account, or in consequence, of that; therefore.
a.
Of or pertaining to pantology.
adv.
In a safe manner; danger, injury, loss, or evil consequences.
adv.
Consequently; by consequence.
n.
The last stage or consequence; finality.
n.
One who uses tautological words or phrases.
v. t.
To attend as a consequence; to follow upon; to accompany; to await.
a.
Uttering sameness or the same truth; expressing in the predicate what is given, or obviously implied, in the subject; tautological.
adv.
By that; by that means; in consequence of that.