Derivation Quotes
To write and speak correctly is certainly necessary; but it is not sufficient. A derivation correctly presented in the book or on the blackboard may be inaccessible and uninstructive, if the purpose of the successive steps is incomprehensible, if the reader or listener cannot understand how it was humanly possible to find such an argument....
George Pólya
Science is turning into a monastery for the Order of Capitulant Friars. Logical calculus is supposed to supersede man as moralist. We submit to the blackmail of the "superior knowledge" that has the temerity to assert that nuclear war can be, by derivation, a good thing, because this follows from simple arithmetic.
Stanisław Lem
In this derivation Bohr had relied on the old idea of classical radiation theory, that the frequencies of spectral lines should agree with the frequency of the electron's orbital motion, but he had assumed this only for the largest orbits, with large n. The light frequencies he calculated for transitions between lower states, such as n=2 → n=1, did not at all agree with the orbital frequency of the initial or final state. So Bohr's work represented another large step away from classical physics.
Steven Weinberg
Independent derivation meshed beautifully with the triumph, from the 1930's on, of a strict version of Darwinism based on the near ubiquity of adaptive design built by natural selection... Arthropods and vertebrates do share several features of functional design. But those similarities only reflect the power of natural selection to craft optimal structures independently in a world of limited biomechanical solutions to common functional problems - an evolutionary phenomenon called convergence.
Stephen Jay Gould
I think artists can influence only through making music that challenges people, excites them and flips them out. Music that repeats what you know in ever-decreasing derivation, that's unchallenging and unstimulating, deadens our minds, our imagination and our ability to see beyond the hell we find ourselves in.
Thom Yorke
The reader is struck by Witzel's repeated disparaging remarks against the Puranas and their utility in the derivation of Indian history. Scholars who have read Witzel's publications in detail inform me that there is nothing in them that betrays even a faint understanding and first-hand knowledge of this genre of literature on his part. Thus, Witzel's repeated attempts to downgrade Puranas as a valid source of history (which, albeit should be used with caution) merely reflect his attempt to hide his own ignorance.
Shrikant Talageri
According to the way it is generally used today, the term 'ethics' relates above all to the domain of human rights, 'the rights of man'- or, by derivation, the rights of living beings. We are supposed to assume the existence of a universally recognizable human subject possessing 'rights' that are in some sense natural: the right to live, to avoid abusive, to enjoy 'fundamental' liberties (of opinion, of expression, of democratic choice in the election of governments, etc.) These rights are held to be self-evident, and the result of a wide consensus. 'Ethics' is a matter of busying ourselves with these rights, of making sure that they are respected.
Alain Badiou
The mere fact that Christianity interprets itself as a new Testament, superseding an old one and fulfilling the promises of the latter, necessarily invites further progress and innovations, either religious or irreligious and antireligious-hence the derivation of the secular irreligions of progress from the eschatology of the church, together with their theological pattern.
Karl Löwith
The order of authority derives from God, as the Apostle says [ in Romans 13:1-7]. For this reason, the duty of obedience is, for the Christian, a consequence of this derivation of authority from God, and ceases when that ceases. But, as we have already said, authority may fail to derive from God for two reasons: either because of the way in which authority has been obtained, or in consequence of the use which is made of it. There are two ways in which the first may occur. Either because of a defect in the person, if he is unworthy; or because of some defect in the way itself by which power was acquired, if, for example, through violence, or simony or some other illegal method.
Thomas Aquinas
From the statements we have made, a stupendous perspective emerges, a vista towards a hitherto unsuspected unity of the conception of the world. Similar general principles have evolved everywhere, whether we are dealing with inanimate things, organisms, mental or social processes. What is the origin of these correspondences?
We answer this question by the claim for a new realm of science, which we call General System Theory. It is a logico-mathematical field, the subject matter of which is the formulation and derivation of those principles which hold for systems in general. A "system" can be defined as a complex of elements standing in interaction. There are general principles holding for systems, irrespective of the nature of the component elements and of the relations or forces between them.
Ludwig von Bertalanffy
Thus, there exist models, principles, and laws that apply to generalized systems or their subclasses, irrespective of their particular kind, the nature of their component elements, and the relations or "forces‟ between them. It seems legitimate to ask for a theory, not of systems of a more or less special kind, but of universal principles applying to systems in general. In this way, we postulate a new discipline called General Systems Theory. Its subject matter is the formulation and derivation of those principles, which are valid for "systems‟ in general.
Ludwig von Bertalanffy
The rule is derived inductively from experience, therefore does not have any inner necessity, is always valid only for special cases and can anytime be refuted by opposite facts. On the contrary, the law is a logical relation between conceptual constructions; it is therefore deductible from upper [übergeordnete] laws and enables the derivation of lower laws; it has as such a logical necessity in concordance with its upper premises; it is not a mere statement of probability, but has a compelling, apodictic logical value once its premises are accepted.
Ludwig von Bertalanffy
Grammars (vyākaraṇas) concern the description of speech forms (śabda) considered to be correct (sādhu) through derivation and thereby serve to make understood the usage found in the Vedas. The grammar that was granted the status of a Vedāṅga is that of Pāṇini. This work is referred to in toto as a śabdānuśāsana (means of instruction of correct speech forms); since the core of Pāṇini's work comprises the eight chapters of sūtras that serve to describe both the current language of his time and features particular to Vedic, it also bears the name Aṣṭādhyāyī.
Pāṇini
