“The amazing number of species; their curious forms, so infinitely varied, and yet so nearly and gradually approximating through an endless series of transitions from one species to another; the diversity of structure observable in those parts which afford generic characters, added to the wonderful changes in form which they undergo, with their surprising economy - are circumstances which contribute to render them objects of most curious speculation to the philosopher. And although the study of every class of animals is most indisputably attended with peculiar advantages, yet we shall venture to affirm, that is from a knowledge of the characters, metamorphoses, and various modes of life, this little animals are destined to pursue, that [the natural philosopher] will obtain a more intimate acquaintance with the great laws of nature, and veneration for the Great Creator of all, that can be derived from the contemplation of any other class in nature.”

— William Elford Leach

As quoted in Entomology https://archive.org/stream/CUbiodiversity1121039#page/646/mode/2up/search/creator (1816), Volume 8 of the first American edition of Sir David Brewster's Edinburgh Encyclopaedia, p. 646.

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William Elford Leach1

English zoologist and marine biologist 1790–1836

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“Lamarck, after having first studied botany with success, had then turned his attention to conchology, and soon became aware that in the newer (or tertiary) strata of the earth's crust there were a multitude of fossil species of shells… He also observed that other shells were so nearly allied to living forms, that it was difficult not to suspect that they had been connected by a common bond of descent. He therefore proposed that the element of time should enter into the definition of a species, and that it should run thus: 'A species consists of individuals all resembling each other, and reproducing their like by generation, so long as the surrounding conditions do not undergo changes sufficient to cause their habits, characters, and forms to vary. He came at last to the conclusion, that none of the animals and plants now existing were primordial creations, but were all derived from pre-existing forms, which, after they may have gone on for indefinite ages reproducing their like, had, at length, by the influence of alterations in climate and in the animate world, been made to vary gradually, and adapt themselves to new circumstances, some of them deviating, in the course of ages, so far from their original type as to have claims to be regarded as new species.”

Charles Lyell (1797–1875) British lawyer and geologist

Source: The Geological Evidences of the Antiquity of Man (1863), Ch.20, p. 389-390

“Everything that makes diversity of kinds, of species, differences, properties… everything that consists in generation, decay, alteration and change is not an entity, but a condition and circumstance of entity and being, which is one, infinite, immobile, subject, matter, life, death, truth, lies, good and evil.”

Giordano Bruno (1548–1600) Italian philosopher, mathematician and astronomer

Cause, Principle, and Unity (1584)
Variant: Everything that makes diversity of kinds, of species. differences, properties, everything that consists in generation, decay, alteration and change, is not an entity, but condition and circumstances of entity and being, which is one, infinite, immobile, subject, matter, life, soul, truth and good.

“There is another kind of studies which distinguished from the sometimes opposed to comparative grammar. It is known under the name of general or philosophical grammar, whose principles and observations were articulated by Port Royal and which deals with the relation of the form of language to the operations of the mind.”

Michel Bréal (1832–1915) French philologist

Michel Bréal (1886), cited in Jacek Juliusz Jadacki, Witold Strawiński. In the World of Signs: Essays in Honour of Professor Jerzy Pelc. 1998, p. 255

“Not one species of any creature which flourished before the tertiary (Ehrenberg's infusoria excepted) now exists; and of the mammalia which arose during that series, many forms are altogether gone, while of others we have now only kindred species. Thus to find not only frequent additions to the previously existing forms, but frequent withdrawals of forms which had apparently become inappropriate—a constant shifting as well as advance—is a fact calculated very forcibly to arrest attention. A candid consideration of all these circumstances can scarcely fail to introduce into our minds a somewhat different idea of organic creation from what has hitherto been generally entertained.”

Robert Chambers (publisher, born 1802) book Vestiges of the Natural History of Creation

Source: Vestiges of the Natural History of Creation (1844), p. 152

“The most probable view is that adopted by Nesselmann, that the works which we know under the three titles formed part of one arithmetical work, which was, according to the author's own words, to consist of thirteen Books. The proportion of the lost parts to the whole is probably less than it might be supposed to be. The Porisms form the part the loss of which is most to be regretted, for from the references to them it is clear that they contained propositions in the Theory of Numbers most wonderful for the time.”

Thomas Little Heath (1861–1940) British civil servant and academic

Source: Diophantos of Alexandria: A Study in the History of Greek Algebra (1885), Ch. II, p.37

“The method applied by Newton to the grounding of the Infinitesimal Calculus, and which since the beginning of this century has been recognised by the best mathematicians as the only one that furnishes sure results, is the method of limits. The method consists in this, viz., instead of considering a continuous transition from one value of a quantity to another, from one position to another, or, speaking generally, from one determination of a concept to another, one considers in the first place a transition through a finite number of intervals and then allows the number of these intervals to increase so that the distances of two successive points of division all decrease infinitely.”

Bernhard Riemann (1826–1866) German mathematician

General Relation of the Concept System of Thesis and Antithesis
Gesammelte Mathematische Werke (1876)

“In a cosmic perspective, most human concerns seem insignificant, even petty. And yet our species is young and curious and brave and shows much promise.”

Carl Sagan book Cosmos

Source: Cosmos (1980), p. 4
Context: The size and age of the Cosmos are beyond ordinary human understanding. Lost somewhere between immensity and eternity is our tiny planetary home. In a cosmic perspective, most human concerns seem insignificant, even petty. And yet our species is young and curious and brave and shows much promise. In the last few millennia we have made the most astonishing and unexpected discoveries about the Cosmos and our place within it, explorations that are exhilarating to consider. They remind us that humans have evolved to wonder, that understanding is a joy, that knowledge is prerequisite to survival. I believe our future depends powerfully on how well we understand this Cosmos in which we float like a mote of dust in the morning sky.

“A time series is a sequence of observations, usually ordered in time, although in some cases the ordering may be according to another dimension. The feature of time series analysis which distinguishes it from other statistical analysis is the explicit recognition of the importance of the order in which the observations are made. While in many problems the observations are statistically independent, in time series successive observations may be dependent, and the dependence may depend on the positions in the sequence. The nature of a series and the structure of its generating process also may involve in other ways the sequence in which the observations are taken.”

Theodore Wilbur Anderson (1918–2016) American statistician

T. W. Anderson. The Statistical Analysis of Time Series http://books.google.com/books?hl=nl&lr=&id=rCOzXIC8ZLkC&oi=fnd&pg=PR11, (1971/2011), p. 1. Introduction; Cited in: American Sociological Association (1974), Sociological Methodology, p. 310

“Primary causes are unknown to us; but are subject to simple and constant laws, which may be discovered by observation, the study of them being the object of natural philosophy.
Heat, like gravity, penetrates every substance of the universe, its rays occupy all parts of space. The object of our work is to set forth the mathematical laws which this element obeys. The theory of heat will hereafter form one of the most important branches of general physics.”

Joseph Fourier book The Analytical Theory of Heat

Source: The Analytical Theory of Heat (1878), Ch. 1, p. 1

“It is a curious situation that the sea, from which life first arose should now be threatened by the activities of one form of that life. But the sea, though changed in a sinister way, will continue to exist; the threat is rather to life itself.”

Rachel Carson book The Sea Around Us

Source: The Sea Around Us

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William Elford Leach1

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