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tautology    
n. 同义反复,重复

同义反复,重复

tautology
重言

tautology
同义反复

tautology
n 1: (logic) a statement that is necessarily true; "the
statement `he is brave or he is not brave' is a tautology"
2: useless repetition; "to say that something is `adequate
enough' is a tautology"

Tautology \Tau*tol"o*gy\, n. [L. tautologia, Gr. ?: cf. F.
tautologie.] (Rhet.)
A repetition of the same meaning in different words; needless
repetition of an idea in different words or phrases; a
representation of anything as the cause, condition, or
consequence of itself, as in the following lines:

The dawn is overcast, the morning lowers,
And heavily in clouds brings on the day. --Addison.
[1913 Webster]

Syn: Repetition.

Usage: {Tautology}, {Repetition}. There may be frequent
repetitions (as in legal instruments) which are
warranted either by necessity or convenience; but
tautology is always a fault, being a sameness of
expression which adds nothing to the sense or the
sound.
[1913 Webster]

83 Moby Thesaurus words for "tautology":
abundance, amplitude, battology, bedizenment, circumambages,
circumbendibus, circumlocution, cloud of words, copiousness,
diffuseness, diffusion, diffusiveness, duplication,
duplication of effort, effusion, effusiveness, embellishment,
expletive, extravagance, exuberance, fat, featherbedding,
fecundity, fertility, filling, fluency, formlessness, frill,
frills, frippery, gingerbread, gush, gushing, iteration, logorrhea,
long-windedness, luxury, macrology, needlessness, ornamentation,
outpour, overadornment, overflow, overlap, padding, palilogy,
payroll padding, periphrase, periphrasis, pleonasm, prodigality,
productivity, profuseness, profusion, prolificacy, prolificity,
prolixity, rampancy, rankness, redundance, redundancy, reiteration,
reiterativeness, repetition, repetition for effect,
repetitiousness, repetitiveness, roundabout, stammering,
stuttering, superabundance, superfluity, superfluousness,
superflux, talkativeness, tautologism, teemingness, tirade,
unnecessariness, verbality, verbiage, verbosity, wordiness


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  • discrete mathematics - Show that (p ∧ q) → (p ∨ q) is a tautology . . .
    Show that (p ∧ q) → (p ∨ q) is a tautology The first step shows: (p ∧ q) → (p ∨ q) ≡ ¬(p ∧ q) ∨ (p ∨ q) I've been reading my text book and looking at Equivalence Laws I know the answer to this but I don't understand the first step How is (p ∧ q)→ ≡ ¬(p ∧ q)? If someone could explain this I would be extremely
  • Is A∨¬A a tautology when there is a proof (by contradiction)?
    $\begingroup$ @NickRosencrantz A tautology is a statement which truth table is always true A logical truth is a statement that is always true after you interpret its meaning
  • Why is SATISFIABLE the complement of TAUTOLOGY?
    If the yes answers for SATISFIABLE are changed to no, then SATISFIABLE is transformed to NOT-TAUTOLOGY, and vice versa If the yes answers for TAUTOLOGY are changed to no, then TAUTOLOGY is transformed to NOT-SATISFIABLE, and vice versa Hence SATISFIABLE is equivalent to NOT-TAUTOLOGY, and TAUTOLOGY is equivalent to NOT-SATISFIABLE
  • How to prove this is a tautology - Mathematics Stack Exchange
    $\begingroup$ Is somebody demanding a proof from you? If so, you need to tell us which particular formal proof system they want you to use -- there are many possible ones which are structured quite differently (even though they prove the same things), and a hint that works with one may well be useless for another system
  • How do I show a statement is a tautology in the Booleans algebra
    Show that $(p \rightarrow q) \land (q \rightarrow r) \rightarrow (p \rightarrow r)$ is a tautology 0 Discrete Mathematics - Show that a conditional statement is a tautology
  • logic - How to determine if statement is a tautology, contradiction, or . . .
    Use logical equivalencies to classify as tautology, contradiction, or contingency 2 Show that the conditional statement is a tautology without using a truth table
  • Is tautology a syntactical notion? - Mathematics Stack Exchange
    In that world, "tautology" is firmly established as a "semantic" concept (Or so I thought -- but see also Noah Schweber's answer which shows that he considers the word "tautology" to belong to the syntactic concept even when considering only logic He and I agree about what is syntactic and what is semantic in that context, but not about the
  • What is the Conjunction Normal Form of a tautology?
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • How do you show that this is tautology? And what is tautology?
    $\begingroup$ In order for this to be a tautology, it has to be true for all possible values of the variables involved, in this case p and q A tautology is always true, it never gives you any information about the values of the variables involved $\endgroup$ –
  • What is the reason (necessity) behind using tautologies in . . .
    When you use a tautology in an informal proof, you can either view it as you are working in a system where that tautology is an axiom rule of inference, or you can view it as simply a reference to a proof done before, i e if you were to formalize the proof you would need to inline the proofs of any tautologies you used with the resulting proof





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