Instead of focusing merely on the individual objects ( e. g., groups ) possessing a given structure, category theory emphasizes the morphisms – the structure-preserving mappings – between these objects ; by studying these morphisms, we are able to learn more about the structure of the objects.

Instead he merely dismissed Titus Petronius Secundus, and replaced him with a former commander, Casperius Aelianus.

Instead of using improved techniques to increase the productivity of the land, Honduran farmers have merely expanded the hectarage under cultivation to produce more crops — pushing their fields ever farther into the forests.

Instead of merely assuming that language influences the thought and behavior of its speakers ( after Humboldt and Sapir ) he looked at Native American languages and attempted to account for the ways in which differences in grammatical systems and language use affected the way their speakers perceived the world.

David prevents his associates from killing Saul, because doing so would prove the former no more worthy than the latter ; Instead, David merely steals Saul's spear and water jug.

Instead, the association that Kellermann found between gun ownership and victimization merely reflected the widely accepted notion that people who live in more dangerous circumstances are more likely to be murdered, but also were more likely to have acquired guns for self-protection prior to their death.

Instead of moving, a Bomb need merely explode to effect the destruction of both friendly pieces and enemy pieces adjacent to itself, and suiciding in the process.

Instead, many philosophers prefer to consider ' Thought Experiments ' to be merely the use of a hypothetical scenario to help understand the way things actually are.

Instead of merely acknowledging Gratian as his father ’ s successor, Valentinian I ’ s generals acclaimed the four-year old Valentinian augustus on 22 November 375.

Instead of merely publishing the award results in RPM, presentations would be made at a physical venue.

Instead of merely being assigned a value, ( like int = 10 ), objects have to be " constructed ".

Instead it should be based on " critical conscience ' – seriously thought out, conceptually mature, personal moral or religious beliefs held to be fundamentally incompatible ( that is, not merely inconsistent on the basis of selfish desires, whim or impulse ), for example, either with all laws requiring conscription for military service, or legal compulsion to fight for or financially support the State in a particular war.

Instead of merely narrating their political events, he examined their economics, their constitutions and their financial systems, and thus was able to throw new light on the development of the Old World.

Instead, Pryor merely removes all memory of the conflict.

Instead, Tushratta merely writes,

Instead, courts presumed that, absent extreme hardship or unusual circumstances, each party had voluntarily agreed to perform their respective duties under the terms of the contract, and that the state merely served as the neutral enforcer of the parties ’ pre-existing voluntary agreement.

Instead, he sees the action as a perfectly logical one in terms of the notions of friendship which were prevalent at the time ; " the idealisation of male friendship as superior to male-female love ( which was considered not romantic or compassionate but merely lustful, hence inferior ) performs a project of cultural nostalgia, a stepping back from potentially more threatening social arrangements to a world of order, a world based on a ' gift ' economy of personal relations among male social equals rather than one based on a newer, less stable economy of emotional and economic risk.

Instead, they allowed him merely the choice between the ship's rail or the side of the trebuchet ( carried as deck-cargo to England ) as his execution site.

Instead, this relationship merely indicates that the large amounts of energy released in such reactions may exhibit enough mass that the mass-loss may be measured, when the released energy ( and its mass ) have been removed from the system.

Instead of being merely a bald Zentran, his head is cybernetically fused with his mobile space fortress.

Instead, it merely proposed general rules for the House to follow when debating bills ( rather than passing a special rule for each bill ), and was dissolved after proposing these general rules.

Instead, it is merely the best that could be done at the time.

Instead of killing his victims like he is ordered to, he merely uses Hades ( his orichalcum gun ) to stop them instead.

Instead of merely re-dubbing the film, Henry Rybnick and Edward Barrison planned on a radically altered Americanized version called The Volcano Monsters which was planned for a 1957 release.

Instead it means that the thinking in which decision issues has the power to determine the morality of the decision, as in this instance the pressure for renewed practical or legislative attention to the constitutional problems the decision had uncovered might have done.

Instead of her old confidence in the simplest, purest, most moving musical expression, Miss Schwarzkopf is letting herself be tempted by the classic sin of artistic pride -- that subtle vanity that sometimes misleads a great artist into thinking that he or she can somehow better the music by bringing to it something extra, some personal dramatic touch imposed from the outside.

Instead, the aim is to create room for critical thinking and more inclusive understanding of the past and conceptions of “ the other .”

Instead, monetarist thinking centers on the contraction of the M1 during the 1931-1933 period, and argues from there that the Federal Reserve could have avoided the Great Depression by moves to provide sufficient liquidity.

Instead they selected Cárdenas to be the ruling party's presidential candidate, and Calles went along with it, thinking he could control him as he had the previous two.

Instead of asking “ What ’ s the problem ?”, some other methods couch the question in terms of challenges, which AI argues maintains a basis of deficiency, the thinking behind the questions assuming that there is something wrong, or that something needs to be fixed or solved.

Instead, it is a collection of ideas about how the mind and thinking work on the conceptual level.

Instead of adopting the style of his teacher's natural brilliance and quick thinking, he chose magnificent calculation and deep reading.

Instead, he advanced slowly and cautiously, thinking the Confederate forces there were much larger.

Instead, the group of academics gathered around Kyoto University as a de facto meeting place, and as its founder, Nishida, steadfastly encouraged independent thinking.

Instead, Kripke insists the conclusion is explicitly stated by § 202, which reads “ Hence it is not possible to obey a rule ‘ privately ’: otherwise thinking one was obeying a rule would be the same as obeying it .” Further, Kripke identifies Wittgenstein ’ s interests in the philosophy of mind as being related to his interests in the foundations of mathematics, in that both subjects require considerations concerning rules and rule following.

Instead, they found that destructive double binds were a frequent pattern of communication among families of patients, and they proposed that growing up amidst perpetual double binds could lead to learned patterns of confusion in thinking and communication.

Instead of thinking in terms of artificial divisions of " now " and " back then ", readers should develop an intuitive mindset of graduated changes in which the " fossils " of the ancient past are intermingled with contemporary objects ; for instance, the " oxygen holocaust " of the paleoproterozoic eon exists in today's oxygen-rich atmosphere.

Instead, philosophy of religion is the philosophical thinking about religion, which can be carried out dispassionately by a believer and non-believer alike.

Instead of thinking of all the people who had told the story already, and how she had to live up to that, she thought of how she could retell the story to adapt to her own times like they did.

Instead they again deceive Degra into thinking that they have utilised some of the Xindi technology to travel faster, and trick him into thinking that they have already arrived at the coordinates.

Instead of that he was engulfed by bedlam.

Instead of 3 a.m. in the past, the Juniors Class at Westminster was held at 4:45 p.m..

Instead of being depressed by this news, Mr. Crombie was actually relieved.

Instead Sergeant Early was quiet, sharp and confident.

Instead of the usual straggling privet hedges and patches of bare dirt in most small-town squares, the building was hemmed in by a semitropical growth of camellias and azaleas and a smooth lawn the improbably bright-green shade of florist's grass.

Instead of linking the nine numbers of this diagram with the traditional Nine Provinces, as was usually done, this equated the odd, Yang numbers with mountains ( firm and resistant, hence Yang ) and the even numbers with rivers ( sinuous and yielding, hence Yin ) ; ;

Instead of holding Lincoln in contempt of court as was expected, the judge, a Democrat, reversed his ruling, allowing the evidence and acquitting Harrison.

Instead, the beam was split into two parts, depending on whether the atomic spin was oriented up or down.

Instead, the irrigated agriculture project was headed for completion with apparently no prospects for extension beyond 2011.

Instead, the value of the AMD was kept high, out of a fear of inflation and concern about alienating the powerful government-connected importers of oil, sugar, flour, cigarettes and beverages.

Instead Arminius proposed that the election of God was of believers, thereby making it conditional on faith.

Instead, Rufinus attempted to negotiate with Alaric in person, which only aroused suspicions in Constantinople that Rufinius was in league with the Goths.

Instead Neptune was predicted using Newton's law of universal gravitation.

Instead of a soup, the atom was also sometimes said to have had a " cloud " of positive charge.

Instead he wrote radio scripts, including Your Hit Parade, until he was introduced to Austrian composer Frederick Loewe, who needed a partner, in 1942 at the Lamb's Club.

Instead like other jackals Anubis ' head was black to resemble the god of death.

Instead, the Hebrew name Ahasuerus accords with an inscription of the time that notes that Artaxerxes II was named also Arshu, understood as a shortening of Achshiyarshu the Babylonian rendering of the Persian Khshayarsha ( Xerxes ), through which the Hebrew Achashverosh ( Ahasuerus ) is derived.

Instead a minority Labour government was formed under Harold Wilson but with no formal support from Thorpe.

Instead, Pasternak was told, " Comrade Stalin is busy.

Instead, Fitzroy was placed into administration, and its administrator accepted an offer to merge with Brisbane.

Instead, a plebiscite was held in which it was formally proclaimed that Castro's brand of socialism would be perpetual.

Instead, he was lumped with the other Emperors of the fallen dynasty.

Instead it was considered as a late Roman form of the Corinthian order.