17-letter words containing c, o, t, i, d, a

natural deduction — (logic) A set of rules expressing how valid proofs may be constructed in predicate logic. In the traditional notation, a horizontal line separates premises (above) from conclusions (below). Vertical ellipsis (dots) stand for a series of applications of the rules. "T" is the constant "true" and "F" is the constant "false" (sometimes written with a LaTeX \perp). "^" is the AND (conjunction) operator, "v" is the inclusive OR (disjunction) operator and "/" is NOT (negation or complement, normally written with a LaTeX \neg). P, Q, P1, P2, etc. stand for propositions such as "Socrates was a man". P[x] is a proposition possibly containing instances of the variable x, e.g. "x can fly". A proof (a sequence of applications of the rules) may be enclosed in a box. A boxed proof produces conclusions that are only valid given the assumptions made inside the box, however, the proof demonstrates certain relationships which are valid outside the box. For example, the box below labelled "Implication introduction" starts by assuming P, which need not be a true proposition so long as it can be used to derive Q. Truth introduction: - T (Truth is free). Binary AND introduction: ----------- | . | . | | . | . | | Q1 | Q2 | ----------- Q1 ^ Q2 (If we can derive both Q1 and Q2 then Q1^Q2 is true). N-ary AND introduction: ---------------- | . | .. | . | | . | .. | . | | Q1 | .. | Qn | ---------------- Q1^..^Qi^..^Qn Other n-ary rules follow the binary versions similarly. Quantified AND introduction: --------- | x . | | . | | Q[x] | --------- For all x . Q[x] (If we can prove Q for arbitrary x then Q is true for all x). Falsity elimination: F - Q (Falsity opens the floodgates). OR elimination: P1 v P2 ----------- | P1 | P2 | | . | . | | . | . | | Q | Q | ----------- Q (Given P1 v P2, if Q follows from both then Q is true). Exists elimination: Exists x . P[x] ----------- | x P[x] | | . | | . | | Q | ----------- Q (If Q follows from P[x] for arbitrary x and such an x exists then Q is true). OR introduction 1: P1 ------- P1 v P2 (If P1 is true then P1 OR anything is true). OR introduction 2: P2 ------- P1 v P2 (If P2 is true then anything OR P2 is true). Similar symmetries apply to ^ rules. Exists introduction: P[a] ------------- Exists x.P[x] (If P is true for "a" then it is true for all x). AND elimination 1: P1 ^ P2 ------- P1 (If P1 and P2 are true then P1 is true). For all elimination: For all x . P[x] ---------------- P[a] (If P is true for all x then it is true for "a"). For all implication introduction: ----------- | x P[x] | | . | | . | | Q[x] | ----------- For all x . P[x] -> Q[x] (If Q follows from P for arbitrary x then Q follows from P for all x). Implication introduction: ----- | P | | . | | . | | Q | ----- P -> Q (If Q follows from P then P implies Q). NOT introduction: ----- | P | | . | | . | | F | ----- / P (If falsity follows from P then P is false). NOT-NOT: //P --- P (If it is not the case that P is not true then P is true). For all implies exists: P[a] For all x . P[x] -> Q[x] ------------------------------- Q[a] (If P is true for given "a" and P implies Q for all x then Q is true for a). Implication elimination, modus ponens: P P -> Q ---------- Q (If P and P implies Q then Q). NOT elimination, contradiction: P /P ------ F (If P is true and P is not true then false is true).
ninth commandment — “Thou shalt not bear false witness against thy neighbor”: ninth of the Ten Commandments.
nitroxanthic acid — picric acid.
non-accommodation — the act of accommodating; state or process of being accommodated; adaptation.
non-consideration — the act of considering; careful thought; meditation; deliberation: I will give your project full consideration.
non-containerized — to package (freight) in uniform, sealed containers for shipment.
non-discretionary — subject or left to one's own discretion.
nondiscriminating — differentiating; analytical.
nondiscrimination — an act or instance of discriminating, or of making a distinction.
nondiscriminatory — characterized by or showing prejudicial treatment, especially as an indication of bias related to age, color, national origin, religion, sex, etc.: discriminatory practices in housing; a discriminatory tax.
nuclear radiation — Physics. radiation in the form of elementary particles emitted by an atomic nucleus, as alpha rays or gamma rays, produced by decay of radioactive substances or by nuclear fission.
nursery education — education provided at a school for young children, usually from three to five years old
occipital condyle — a protrusion on the occipital bone of the skull that forms a joint with the first cervical vertebra, enabling the head to move relative to the neck.
octadecanoic acid — stearic acid.
odour of sanctity — sanctimoniousness
of its own accord — If something happens of its own accord, it seems to happen by itself, without anyone making it happen.
on condition that — a particular mode of being of a person or thing; existing state; situation with respect to circumstances.
online dictionary — a dictionary that is available on the Internet or World Wide Web and accessed through a Web browser using a computer or a mobile device, primarily by typing a query term into a search box on the site. Online dictionaries like Dictionary.com offer immediate, direct access through large databases to a word's spelling and meanings, plus a host of ancillary information, including its variant spellings, pronunciation, inflected forms, origin, and derived forms, as well as supplementary notes on matters of interest or concern about how the word is used: Some people think online dictionaries will make print dictionaries obsolete.
orthovanadic acid — an oxyacid of vanadium, known chiefly in the form of its vanadate salts. Formula: H3VO4
outside broadcast — An outside broadcast is a radio or television programme that is not recorded or filmed in a studio, but in another building or in the open air.
parathyroidectomy — the excision of a parathyroid gland.
personal distance — personal space.
photodissociation — the dissociation or breakdown of a chemical compound by radiant energy.
pietro da cortona — Pietro da [pye-traw dah] /ˈpyɛ trɔ dɑ/ (Show IPA), (Pietro Berrettini) 1596–1669, Italian painter and architect.
platinic chloride — chloroplatinic acid.
pocket dictionary — a small portable dictionary
polar coordinates — Usually, polar coordinates. one of two coordinates used to locate a point in a plane by the length of its radius vector and the angle this vector makes with the polar axis (polar angle)
police department — A police department is an official organization which is responsible for making sure that people obey the law.
positive feedback — Electronics. the process of returning part of the output of a circuit, system, or device to the input, either to oppose the input (negative feedback) or to aid the input (positive feedback) acoustic feedback.
potassium cyanide — a white, granular, water-soluble, poisonous powder, KCN, having a faint almondlike odor, used chiefly in metallurgy and photography.
pre-modifications — an act or instance of modifying.
predatory pricing — If a company practises predatory pricing, it charges a much lower price for its products or services than its competitors in order to force them out of the market.
primary education — junior, elementary schooling
private education — education provided by a private individual or organization, rather than by the state or a public body
product liability — the responsibility of a manufacturer for injury or loss caused by its product.
production values — the quality of a media production (such as a film) in regards to elements such as colours, quality, style, etc
prothoracic gland — either of a pair of endocrine glands in the anterior thorax of some insects, functioning to promote the series of molts from hatching to adulthood.
pseudo-democratic — pertaining to or of the nature of democracy or a democracy.
pseudo-historical — of, pertaining to, treating, or characteristic of history or past events: historical records; historical research.
pseudo-humanistic — a person having a strong interest in or concern for human welfare, values, and dignity.
pseudo-moralistic — a person who teaches or inculcates morality.
psychodiagnostics — the study and evaluation of character or personality in terms of behavioral and anatomical traits, as gesture, posture and physiognomy.
psychoeducational — designating or of psychological methods, as intelligence tests, used in evaluating learning ability
quadratic formula — the formula for determining theroots of a quadratic equation from its coefficients: .
quantity discount — When you receive a quantity discount from a store or supplier, you pay less because you have bought a large quantity of goods. Also known as bulk buying discount.
quattuordecillion — a cardinal number represented in the U.S. by 1 followed by 45 zeros, and in Great Britain by 1 followed by 84 zeros.
quick on the draw — having fast reflexes
radioactive decay — decay (def 8).
radioactive waste — the radioactive by-products from the operation of a nuclear reactor or from the reprocessing of depleted nuclear fuel.
rail detector car — a car equipped with special instruments and used to locate defects in rails.

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