However, Aristotle also writes, " since it is impossible that contradictories should be at the same time true of the same thing, obviously contraries also cannot belong at the same time to the same thing " ( Book IV, CH 6, p. 531 ).

However, Aristotle himself did not call the subject of these books " Metaphysics ": he referred to it as " first philosophy.

However, since the time of Aristotle, logic has also changed, for example, Modal logic has undergone a major development which also modifies rhetoric.

" However, most of the essential features of the modern definition are present in the works of Plato, Aristotle, and Polybius.

However, Johnson was well aware that Aristotle had only recommended the unity of action, and knew that rules must serve drama, not vice versa:

However, Periander was later considered the typical evil tyrant ( for example, by Aristotle ).

" However, where utilitarians focused on reasoning about consequences as the primary tool for reaching happiness, Aquinas agreed with Aristotle that happiness cannot be reached solely through reasoning about consequences of acts, but also requires a pursuit of good causes for acts, such as habits according to virtue.

However, it is Aristotle ’ s explicit view that virtue is necessary but not sufficient for eudaimonia.

However, Aristotle does not think that virtuous activity is pursued for the sake of pleasure.

However, numerous Hillsdale students have, for years, called for considering the likenesses of more classical Western thinkers, such as Socrates, Cicero, Aristotle, Augustine, or Thomas Aquinas among others.

However, for Aquinas, following Aristotle, the State of Nature is not logically ( or temporally ) prior to the politically constituted community but is that community, i. e. for both Aristotle and Aquinas the political state is natural for human beings ( see Encyclopedia of Political Theory, by Mark Bevin, s. v., " Thomism, " Natural Law ").

" However, despite further attempts to restrict the teaching of Aristotle, by 1270 the ban on Aristotle's natural philosophy was ineffective.

The usual way of connecting the subject and predicate of a categorical sentence as Aristotle does in On Interpretation is by using a linking verb e. g. P is S. However, in the Prior Analytics Aristotle rejects the usual form in favor of three of his inventions: 1 ) P belongs to S, 2 ) P is predicated of S and 3 ) P is said of S. Aristotle does not explain why he introduces these innovative expressions but scholars conjecture that the reason may have been that it facilitates the use of letters instead of terms avoiding the ambiguity that results in Greek when letters are used with the linking verb.

However, the notion that there were a limited number of elements from which everything was composed originated with the Greek philosopher Aristotle.

However, Castriota also maintains about Aristotle ’ s opinion that “ his interest has to do with the influence that such ethical representation may exert upon the public .” Castriota also explains that according to Aristotle, “ The activity of these artists is to be judged worthy and useful above all because exposure of their work is beneficial to the polis .” Accordingly, this was the reason for the representation of character, or ethos, in public paintings and sculptures.

" However, Aristotle knew that the Earth is spherical and even provided observational proof of this fact.

However, Aristotle never claimed that = A, 1 = 1, or A ≡ A, none of which correspond symbolically to " the fact that a thing is itself ," for the simple reason that Aristotle never explicitly made the claim " thing is thing.

However, Aristotle was only twelve at the time of the comet's appearance and the historian, Callisthenes of Olynthus, who also wrote about it was born ten years after its appearance.

However, a number of prominent scholars doubt that it was written by Aristotle.

However, ZF plus GCH implies AC, making GCH a strictly stronger claim than AC, even though they are both independent of ZF.

However, the term dialect always implies a relation between languages: if language X is called a dialect, this implies that the speaker considers X a dialect of some other language Y, which then usually is some standard language.

However, while bitheism implies harmony, ditheism implies rivalry and opposition, such as between good and evil, or bright and dark, or summer and winter.

However, the term " farrier " implies a professional horseshoer with skill, education, and training.

However, this expression implies the ability to identify the particle with n < sub > 1 </ sub > as " particle 1 " and the particle with n < sub > 2 </ sub > as " particle 2 ".

However, James ' successor as leader of the Jerusalem church, Simeon, is not, in tradition, appointed till after the siege of Jerusalem in AD 70, and Eusebius ' notice of Simeon implies a date for the death of James immediately before the siege, i. e. about AD 69.

However, the law of the excluded middle is retained, because P and not-P implies P or not-P, since " or " is inclusive.

However, as Plutarch implies, since naval power relied on the mass mobilisation of the common citizens ( thetes ) as rowers, such a policy put more power into the hands of average Athenians — and thus into Themistocles's own hands.

However, the disadvantage this implies in relation to their contestant parties ( which denote permanent labor and a disciplined and organic structure ), impels them to modify their organization to become mass-based parties.

However, in order to reproduce the next stage of the argument, which eliminates the penultimate day of the week, the prisoner must argue that his ability to deduce, from statement ( A ), that the hanging will not occur on the last day, implies that a last-day hanging would not be surprising.

) However, since processor support for any SSE revision also implies support for MMX, the removal does not limit the types of data types usable by x86 SIMD.

However, this visible difference is merely a consequence of a deeper distinction: a DCT implies different boundary conditions than the DFT or other related transforms.

However, this term is also objectionable to some because it still implies that there is an issue, which they feel is created only by the PRC.

However, he implies later that he was lying about at least some of this information to mislead the Sontarans.

However, if the errors are not normally distributed, a central limit theorem often nonetheless implies that the parameter estimates will be approximately normally distributed so long as the sample is reasonably large.

However, Willard's actions in checking the wraps of his opponent, not a normal procedure, implies he was concerned about foul play, Willard later claimed to have been defeated by gangsterism.

However, in a technical sense, the term " city manager ," as opposed to CAO, implies more discretion and independent authority that is set forth in a charter or some other body of codified law, as opposed to duties being assigned on a varying basis by a single superior such as a mayor.

However, the information gleaned from recent scans of the fragments indicate that it may have come from the colonies of Corinth in Sicily and implies a connection with Archimedes.

However, this implies that the size of the observable universe is continually shrinking ; the distance to the edge of the observable universe which is moving away at the speed of light from any point moves ever closer.

However, this visible difference is merely a consequence of a deeper distinction: a DST implies different boundary conditions than the DFT or other related transforms.

However, if the value assigned to E < sub > ea </ sub > is negative, the negative sign implies a reversal of direction, and energy is required to attach an electron.

However, the majority of classical rabbis believed that the biblical phrase hallow the fiftieth year, together with the biblical promise that there would be three years worth of fruit in the sixth year, implies that the jubilee year was the 50th year.