While this solves the logical problem, one could argue that the philosophical problem remains.

While it is one of the most commonly used concepts in logic it must not be mistaken for a logical law ; rather, it is one of the accepted mechanisms for the construction of deductive proofs that includes the " rule of definition " and the " rule of substitution " Modus ponens allows one to eliminate a conditional statement from a logical proof or argument ( the antecedents ) and thereby not carry these antecedents forward in an ever-lengthening string of symbols ; for this reason modus ponens is sometimes called the rule of detachment.

While still on active duty, the Admiral had suggested that there are three things that a school must do: First, it must transmit to the pupil a substantial body of knowledge ; second, it must develop in him the necessary intellectual skill to apply this knowledge to the problems he will encounter in adult life ; and third, it must inculcate in him the habit of judging issues on the basis of verified fact and logical reasoning.

While they succeeded in grounding arithmetic in a fashion, it is not at all evident that they did so by purely logical means.

While it is often assumed that those with this intelligence naturally excel in mathematics, chess, computer programming and other logical or numerical activities, a more accurate definition places less emphasis on traditional mathematical ability and more on reasoning capabilities, recognizing abstract patterns, scientific thinking and investigation and the ability to perform complex calculations.

While the Assembly ’ s reasoning is superficially logical, its rejection of the name “ Jefferson ” almost certainly was motivated by the considerable antagonism held by dominant Federalist politicians in Hartford, who led New England in their opposition to President Jefferson and his policies.

While many of the works of Antonín Dvořák ( 1841-1904 ) were given opus numbers, these did not always bear a logical relationship to the order in which they were either written or published.

While many critics have tried to reconstruct the truth behind the shifting narratives, or to show that such a reconstruction cannot be done with certainty or even that there are factual and logical inconsistencies that cannot be overcome, some critics have stated that, fictional truth being an oxymoron, it is best to take the story as a given, and regard it on the level of myth and archetype, a fable that allows us to glimpse the deepest levels of the unconscious and thus better understand the people who accept ( and are ruled by ) that myth — Southerners in general and Quentin Compson in particular.

While appreciating the force of Ruskin ’ s criticisms, Henry James was more appreciative: “ A structure not supremely interesting, not logical, not … commandingly beautiful, but grandly curious and superbly rich.

While logical, it may be easy to confuse them.

" While some earlier philosophers ( most notably Plato and Descartes ) held that logical statements such as these contained the most formal reality, since they are always true and unchanging, Hume held that, while true, they contain no formal reality, because the truth of the statements rests on the definitions of the words involved, and not on actual things in the world, since there is no such thing as a true triangle or exact equality of length in the world.

While Durkheim rejected much of the detail of Comte's philosophy, he retained and refined its method, maintaining that the social sciences are a logical continuation of the natural ones into the realm of human activity, and insisting that they may retain the same objectivity, rationalism, and approach to causality.

While logic is the study of the manner in which logical systems can be used to decide the correctness of arguments, metalogic studies the properties of the logical systems themselves.

While many saw Lewis as kin to the logical empiricists, he was never truly comfortable in such company because he declined to divorce experience from cognition.

While instantiating the predicates can be characterized by their logical properties of relations, quantifiers and cardinality as monadic predicates

While there is no other text describing Salmar as one of the Maiar, his status as a spirit who accompanied the Vala Ulmo to Valinor, but was not listed among the Valar, would make that the logical conclusion.

While at that time the route was logical, when plans were made to renovate it in 2001, the digging of numerous tunnels was proposed to mainly avoid the Nahal Sorek route and shorten the line.

While this is a valid logical form, it is not strictly a categorical syllogism.

While recognising the primary importance of logical proof, Gauss also illustrates many theorems with numerical examples.

While the application of ODR is not limited to disputes arising out of business to consumer ( B2C ) online transactions, it seems to be particularly apt for these disputes, since it is logical to use the same medium ( the internet ) for the resolution of e-commerce disputes when parties are frequently located far from one another.

" While pragmatic concerns are important for Carnap and other logical positivists when choosing linguistic framework, their pragmatism " leaves off at the imagined boundary between the analytic and the synthetic ".

While based on C, NWScript does not have many functions from the C family, excluding logical and binary / ternary operators and some mathematical functions.

While the overall structure of archaeal pseudopeptidoglycan superficially resembles that of bacterial peptidoglycan, there are a number of significant chemical differences.

While the jaguar closely resembles the leopard, it is sturdier and heavier, and the two animals can be distinguished by their rosettes: the rosettes on a jaguar's coat are larger, fewer in number, usually darker, and have thicker lines and small spots in the middle that the leopard lacks.

While more work on undescribed specimens is required before firm consensus is reached, the discovery of P. spinosa, which strongly resembles modern Chaetognaths, in sediments of a similar age in Chengjiang biota places doubts on its position in the Chaetognath crown group.

While this game closely resembles Keno, a game which was invented by the Chinese and predates the Han Dynasty, it is recognized as a variant of bingo and permitted in almost all jurisdictions.

: While she is sweet and kind, she is similar to the Love Hina character Naru Narusegawa ( whom she resembles ) and Negima!

While the knock-off spinner resembles an early hubcap, its threads also retain the wheel itself, in lieu of lug nuts.

While she greatly resembles her brother, the two of them are totally different: Grooella is a Queen.

While some doctoral graduates wear the mortarboard cap traditional to the lower degree levels, most wear a cap or Tudor bonnet that resembles a tam o ' shanter, from which a colored tassel is suspended.

While he physically resembles Flint Marko, he has the pale skin and glowing eyes of Gaiman's Morpheus.

While all three breeds have a primitive look that resembles the wild type Tarpan in some respects, they are not genetically Tarpans and the wild, pre-domestic European horse remains extinct.

While brown cats with ticked coats can occasionally be seen, few if any resembles the Singapura, with the majority of cats being bobtailed tabbies, tortoiseshells or bicolor, and the move by the STPB is seen by locals to be an advertising move based on the popularity of the breed among tourists at that time.

* While in the grotto, Violet Baudelaire finds a rock, its description closely resembles the Rosetta stone.

While the beverage typically served as " wassail " at modern holiday feasts with a medieval theme most closely resembles mulled cider, historical wassail drinks were completely different, more likely to be mulled beer or mead.

While the world is invented, however, it remains realistic in its construction, and resembles in most respects a historically faithful period setting, rather than a sword and sorcerer fairyland.

While the final state must look identical to the initial state for a process occurring over a vanishing time period, there is no eigenstate of the new Hamiltonian,, that resembles the initial state.

While there is no known influence for the design of the interior, it resembles the ceiling of the famous Salone dei Cinquecento at the Palazzo Vecchio in Florence, Italy featuring a similar coffered grid with dentils and repeating circles.

" While reviewing the blu-ray DVD version of the film, Chris Cabin of Slant Magazine gave the film a positive three-and-a-half out of five rating, calling it a " high-end, kitschy whodunit ", and writing that it is " riotous and chaotic take on the spy thriller, essentially, but it structurally resembles Agatha Christie's And Then There Were None " as well as describing it as " some sort of miraculous entertainment ".

While the taste resembles the taste of the original Kristall brand, connaisseurs are able to taste the difference.

While she still strongly resembles the zaftig Maggie readers have grown used to, from some angles she now sports a double chin or bags beneath her eyes.

While KP resembles goose bumps, it is characterized by the appearance of small rough reddish bumps on the skin.

While the album resembles the current live music closely, it is not identical.

While Euskirchen resembles a modern shopping town, it also has a history dating back over 700 years, having been granted town-status in 1302.

While this model is generally referred to as Franco-German, this may be something of a misnomer, since there is ample evidence and documentation indicating that at the turn of the 20th century, many North American hospital-based ambulances in larger centres were actually staffed by ambulance surgeons ; physicians who actually responded in the ambulance and provided care in a manner which very much resembles the current Franco-German model.

) While Alpha resembles the JLA, other Legions resemble teams such as the Teen Titans, Young Justice, the Legion of Super-Heroes, the Legion of Super-Pets, etc.