Thus Kant defines idealism as " the assertion that we can never be certain whether all of our putative outer experience is not mere imagining ".

Thus Kant effects his “ Copernican ” revolution of knowledge by changing our perspective on knowledge from a question of “ what can truly be known ” ( i. e. how can we actually come to know universals ), to a question of “ how does the knowing mind operate .”

Thus, in place of God's role as guarantor of the coherence of the world, Kant posits a faculty of reason structured by the forms of our intuition ( our sense of time and space ) and the categories of our understanding ( like the notion of cause and effect ).

Thus Kant arrives at the conclusion that all pure mathematics is synthetic though a priori ; the number 7 is seven and the number 5 is five and the number 12 is twelve and the same principle applies to other numerals ; in other words, they are universal and necessary.

Thus Spinoza and Kant represent opposite poles in the dialectical idealism by which Brunner organizes the whole of intellectual history.

Thus, Kant portrays God as a moral trinity: holy lawgiver, good governor, and just judge.

Thus Diderot, Voltaire, Rousseau, Montesquieu, Kant and the political philosophies embodied by and influencing the American Revolution and American Enlightenment are part of The Enlightenment.

Thus, in Immanuel Kant, Frame finds both rationalism and irrationalism.

" Thus, it stresses the teachings of Parmenides, Aristotle, Leibniz, Spinoza, Hume, Kant, Hegel, Kierkegaard, Marx, Nietzsche, Husserl, Heidegger, Arendt, Freud, Benjamin, Wittgenstein, Foucault, Derrida, Deleuze, et al.

Thus the distribution of Symbiodinium on coral reefs and its role in coral bleaching presents one of the most complex and interesting current problems in reef ecology.

" Thus in the example above, Hecuba presents herself as a sophisticated intellectual describing a rationalized cosmos yet the speech is ill-matched to her audience, Menelaus ( a type of the unsophisticated listener ), and soon it is found not to suit the cosmos either ( her infant grandson is brutally murdered by the victorious Greeks ).

Thus originated the modern grand jury that presents information for an indictment.

Thus for example Theocritus presents catalogues of heroines in two of his bucolic poems ( 3. 40 – 51 and 20. 34 – 41 ), where both passages are recited in character by lovelorn rustics.

Thus Gregory's creed presents, in the negative, a virtual litany of heresies:

Thus, in the study of historical Chinese culture, many of the stories that have been told regarding characters and events which have been written or told of the distant past have a double tradition: one which tradition which presents a more historicized and one which presents a more mythological version.

Thus, left-sided heart failure often presents with respiratory symptoms: shortness of breath, orthopnea and paroxysmal nocturnal dyspnea.

Thus, in order to collect extrinsic evidence for most or all of the genes in a complex organism, many hundreds or thousands of different cell types must be studied, which itself presents further difficulties.

Thus, if management wishes to increase satisfaction on the job, it should be concerned with the nature of the work itself — the opportunities it presents for gaining status, assuming responsibility, and for achieving self-realization.

Thus the Logic presents the categories of thought as they are in themselves ; they are the minimal conditions for thinking anything at all, the conceptions that run in the background of all our thinking.

Thus a patient who presents with clinical depression whose mother also suffered from the same disorder and responded well to fluoxetine would indicate that this drug would be more likely to help in the patient's disorder.

Thus, Koirala presents a passionate plea against the philosophy of the Bhagavad Gita, which assumes that the world is but an illusion and thus makes life and death a meaningless phenomena and that the observance of one's own duty is the ultimate priority.

Thus, whereas it may be necessary to seize a political opportunity when it presents itself, it should ideally be seized also with an appropriate motivation, and on a principled basis — which is basically what a leader of an increasingly large group aims to accomplish: to ensure that the right things are done for the right reasons.

Thus, the technique presents a type of trump promotion.

Thus, this notion, which remained relevant throughout Chinese history, reflects the order of nature.

Thus, Judaism rejects the notion that anyone can or should die for anyone else's sin.

Thus, the only logical possibilities are to accept non-Euclidean geometry as physically real, or to reject the entire notion of physical tests of the axioms of geometry, which can then be imagined as a formal system without any intrinsic real-world meaning.

Thus another approach is to incorporate the notion of suffering into the definition.

Thus, the challenge is to create agile or discovery-driven implementations of the EVM principle, and not simply to reject the notion of measuring technical performance objectively.

Thus, for example, around 60 manuscripts are extant containing Welsh-language versions of the Historia, the earliest of which were created in the 13th century ; the old notion that some of these Welsh versions actually underlie Geoffrey's Historia, advanced by antiquarians such as the 18th-century Lewis Morris, has long since been discounted in academic circles.

Thus three major themes in 19th century mathematics were combined by Lie in creating his new theory: the idea of symmetry, as exemplified by Galois through the algebraic notion of a group ; geometric theory and the explicit solutions of differential equations of mechanics, worked out by Poisson and Jacobi ; and the new understanding of geometry that emerged in the works of Plücker, Möbius, Grassmann and others, and culminated in Riemann's revolutionary vision of the subject.

Thus, null sets may be interpreted as negligible sets, defining a notion of almost everywhere.

Thus, lineally and geopolitically, Bruce attempted to support his anticipated notion of a pan-Gaelic alliance between Scottish-Irish Gaelic populations, under his kingship.

Thus, justification is a normative notion.

Thus, he developed his notion of hamartia, or tragic flaw, which was really an error in judgment by the main character or protagonist.

There is no sustained, mature analysis of the notion ..." Thus, some critics object, it would be acceptable to torture one person if this would produce an amount of happiness in other people outweighing the unhappiness of the tortured individual.

Thus, in a sense, the notion of a Noetherian ring unifies the ideal structure of various " natural rings ".

Thus, the general notion of a statistical ensemble with nearest-neighbor interactions leads to Markov random fields, which again find broad applicability ; for example in Hopfield networks.

Thus, in the West, the notion of ethnicity, like race and nation, developed in the context of European colonial expansion, when mercantilism and capitalism were promoting global movements of populations at the same time that state boundaries were being more clearly and rigidly defined.

Thus, nationalism is invoked in conscience to quell tribal conflict and the notion of a Brotherhood of Man is invoked to quell national conflicts.

Thus, it encouraged biological fathers to reject not only the notion of an obligation to marry the mother but also the very idea of a paternal obligation.

Thus, he described his notion of an esoteric philosophy which referenced the eternal truth or wisdom which lies at the heart of all traditions as a " science of reality " based on the method of " certain demonstration " ( al-burhan al-yaqini ).

Thus, the notion that the Trinity consists of " Three persons in one God " is not a part of Latter-day Saint beliefs.

Thus if we set aside the notion of standardization, I believe it would be more appropriate to speak of 25 languages derived from Old Tibetan.

Thus the Governor-General hit upon the notion to name the outpost Nueva ( meaning new Ecija ). Both the New and Old Ecija were washed by navigable rivers-the former, by Rio Grande de Pampanga and the latter, by the river Genil.

The notion is closely related to the idea of a multiplicative character in group theory, which is a homomorphism χ from a group G to the multiplicative group of a field F. Thus χ: G → F < sup >×</ sup > satisfies χ ( e ) = 1 ( where e is the identity element of G ) and

Thus weights are primarily of interest for abelian Lie algebras, where they reduce to the simple notion of a generalized eigenvalue for space of commuting linear transformations.