Stephen Baxter quote: “If, in pursuing this object, we employ our skill in research, not in forming vain conjectures; and if data are to be fo…”

“In science, conjecture drives both experiment and theory for it is only by forming conjectures (hypotheses) that we can make the direction of our experiments and theories informed. If such and such is true, then I should be able to do this experiment and look for this particular result or I should be able to find this theoretical formulation. Conversely, experiment and theory drive conjecture. One makes a startling observation or has a sudden insight and begins to speculate on its significance and implications and to draw possible conclusions”

Robert Curl (1933) American chemist

conjecture
in his Nobel Lecture http://nobelprize.org/nobel_prizes/chemistry/laureates/1996/curl-lecture.html, December 7, 1996, Dawn of the Fullerenes: Experiment and Conjecture

“This consideration must alter the form of our proposed inquiry; for the question being thus at least partly decided, since it is ascertained that we have rays of heat which give no light, it can only become a subject of inquiry whether some of these heat-making rays may not have a power of rendering objects visible, superadded to their now already established power of heating bodies. This being the case, it is evident that the onus probandi [burden of proof] ought to lie with those who are willing to establish such an hypothesis, for it does not appear that Nature is in the habit of using one and the same mechanism with any two of our senses. Witness the vibration of air that makes sound, the effluvia that occasion smells, the particles that produce taste, the resistance or repulsive powers that affect the touch—all these are evidently suited to their respective organs of sense.”

William Herschel (1738–1822) German-born British astronomer, technical expert, and composer

Source: Sir William Herschel: His Life and Works (1880), Ch.4 "Life and Works" on his discovery of the infrared.

“We speak of the matter [of this science] in the sense of its being what the science is about. This is called by some the subject of the science, but more properly it should be called its object, just as we say of a virtue that what it is about is its object, not its subject. As for the object of the science in this sense, we have indicated above that this science is about the transcendentals. And it was shown to be about the highest causes. But there are various opinions about which of these ought to be considered its proper object or subject. Therefor, we inquire about the first. Is the proper subject of metaphysics being as being, as Avicenna claims, or God and the Intelligences, as the Commentator, Averroes, assumes.”
loquimur de materia "circa quam" est scientia, quae dicitur a quibusdam subiectum scientiae, uel magis proprie obiectum, sicut et illud circa quod est uirtus dicitur obiectum uirtutis proprie, non subiectum. De isto autem obiecto huius scientiae ostensum est prius quod haec scientia est circa transcendentia; ostensum est autem quod est circa altissimas causas. Quod autem istorum debeat poni proprium eius obiectum, uariae sunt opiniones. Ideo de hoc quaeritur primo utrum proprium subiectum metaphysicae sit ens in quantum ens (sicut posuit Auicenna) uel Deus et Intelligentiae (sicut posuit Commentator Auerroes.)

Duns Scotus (1265–1308) Scottish Franciscan friar, philosopher and Catholic blessed

Quaestiones subtilissimae de metaphysicam Aristotelis, as translated in: William A. Frank, Allan Bernard Wolter (1995) Duns Scotus, metaphysician. p. 20-21

“In order to supply the defects of experience, we will have recourse to the probable conjectures of analogy, conclusions which we will bequeath to our posterity to be ascertained by new observations, which, if we augur rightly, will serve to establish our theory and to carry it gradually nearer to absolute certainty.”

Johann Heinrich Lambert (1728–1777) German mathematician, physicist and astronomer

The System of the World (1800)

“If an event really happened which was not a part of the uniformity of nature, it would have two properties: no evidence could give the right to believe it to any except those whose actual experience it was; and no inference worthy of belief could be founded upon it at all.
Are we then bound to believe that nature is absolutely and universally uniform? Certainly not; we have no right to believe anything of this kind. The rule only tells us that in forming beliefs which go beyond our experience, we may make the assumption that nature is practically uniform so far as we are concerned. Within the range of human action and verification, we may form, by help of this assumption, actual beliefs; beyond it, only those hypotheses which serve for the more accurate asking of questions.”

William Kingdon Clifford (1845–1879) English mathematician and philosopher

The Ethics of Belief (1877), The Limits Of Inference

“This consideration must alter the form of our proposed inquiry; for the question being thus at least partly decided, since it is ascertained that we have rays of heat which give no light, it can only become a subject of inquiry whether some of these heat-making rays may not have a power of rendering objects visible, superadded to their now already established power of heating bodies.”

William Herschel (1738–1822) German-born British astronomer, technical expert, and composer

This being the case, it is evident that the onus probandi [burden of proof] ought to lie with those who are willing to establish such an hypothesis, for it does not appear that Nature is in the habit of using one and the same mechanism with any two of our senses. Witness the vibration of air that makes sound, the effluvia that occasion smells, the particles that produce taste, the resistance or repulsive powers that affect the touch—all these are evidently suited to their respective organs of sense.
Source: Sir William Herschel: His Life and Works (1880), Ch.4 "Life and Works" on his discovery of the infrared.

“THE prejudice which is commonly entertained against metaphysical speculations seems to arise chiefly from two causes: First, from an apprehension that the subjects about which they are employed, are placed beyond the reach of the human faculties; and, secondly, from a belief that these subjects have no relation to the business of life.
The frivolous and absurd discussions which abound in the writings of most metaphysical authors, afford but too many arguments in justification of these opinions; and if such discussions were to be admitted as a fair specimen of what the human mind is able to accomplish in this department of science, the contempt, into which it has fallen of late, might with justice be regarded, as no inconsiderable evidence of the progress, which true philosophy has made in the present age.”

Dugald Stewart (1753–1828) Scottish philosopher and mathematician

Source: Elements of the Philosophy of the Human Mind, 1792, p. 9; Lead paragraph (I)

“Man was formed with an understanding for the obtainment of knowledge; and happy is he who is employed in the pursuit of it. Ignorance is in its nature unprofitable; but every kind of knowledge may be turned to use. Diligence is generally rewarded with the discovery of that which it seeks after; sometimes of that which is more valuable.”

George Horne (1730–1792) English churchman, writer and university administrator

Prose Quotations from Socrates to Macaulay, 1880

“The whole science of heat is founded Thermometry and Calorimetry, and when these operations are understood we may proceed to the third step, which is the investigation of those relations between the thermal and the mechanical properties of substances which form the subject of Thermodynamics.”

James Clerk Maxwell (1831–1879) Scottish physicist

The whole of this part of the subject depends on the consideration of the Intrinsic Energy of a system of bodies, as depending on the temperature and physical state, as well as the form, motion, and relative position of these bodies. Of this energy, however, only a part is available for the purpose of producing mechanical work, and though the energy itself is indestructible, the available part is liable to diminution by the action of certain natural processes, such as conduction and radiation of heat, friction, and viscosity. These processes, by which energy is rendered unavailable as a source of work, are classed together under the name of the Dissipation of Energy.
Theory of Heat http://books.google.com/books?id=DqAAAAAAMAAJ "Preface" (1871)

“Rational mechanics must be the science of the motions which result from any forces, and of the forces which are required for any motions, accurately propounded and demonstrated. For many things induce me to suspect, that all natural phenomena may depend upon some forces by which the particles of bodies are either drawn towards each other, and cohere, or repel and recede from each other: and these forces being hitherto unknown, philosophers have pursued their researches in vain. And I hope that the principles expounded in this work will afford some light, either to this mode of philosophizing, or to some mode which is more true.”

Isaac Newton book Philosophiae Naturalis Principia Mathematica

Preface, translation in William Whewell's History of the Inductive Sciences http://books.google.com/books?id=vlQEAAAAQAAJ (1837)
Philosophiae Naturalis Principia Mathematica (1687)

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