In June 1849 William Thomson (Later Lord Kelvin) wrote to Michael Faraday suggesting that the concept of a uniform magnetic field could be used to predict the motions of small magnetic and diamagnetic bodies. In his letter Thomson showed how Faraday's lines of magnetic force could represent the effect of the ‘conducting power’ for magnetic force of matter in the region of magnets. This was Thomson's extension to magnetism of an analogy between the mathematical descriptions of the distribution of static electricity and of the diffusion of heat through uniform bodies. In 1850 Faraday published his first comprehensive theory of the magnetic properties of matter. He explained the behaviour of matter in the field by four assumptions: that matter has a specific disturbing effect on the normal distribution of lines of magnetic force; that this effect depends on its ability to conduct or transmit the magnetic action; and that material bodies tend to move so as to cause the least possible disturbance of the lines from their normal distribution. Faraday also assumed that diamagnetics transmit magnetic action less well than empty space, while paramagnetics transmit it more readily than space. This implied that space must have a specific conductivity between that of paramagnetic and diamagnetic materials. In order to preserve a distinction between matter and space Faraday defined ‘matter’ as either the source of action or as a conductor which is able to influence the lines of action; space was the absence of such powers. While space could conduct, it differed from matter in that it could neither originale lines of force nor influence their course and distribution.

Central to Thomas Sprat's History of the Royal Society was the description and justification of the method adopted and advocated by the Fellows of the Society, for it was thought that it was their method which distinguished them from ancients, dogmatists, sceptics, and contemporary natural philosophers such as Descartes. The Fellows saw themselves as furthering primarily a novel method, rather than a system, of philosophy, and the History gave expression to this corporate self-perception. However, the History's description of their method was not necessarily accurate. Rather, as will be argued below, by a combination of subtle misrepresentation and selective exposition, Sprat portrayed a method which would further the aims of social and ecclesiastical stability and material prosperity, essential for the Royal Society since its continued existence depended upon the creation of a social basis for the institutionalized pursuit of natural philosophy. Some link had to be forged between the activities of the Society and the intellectual and social aspirations of the Restoration. To understand the intent and meaning of Sprat's History and the method there portrayed, we must therefore look to the institutional needs which it fulfilled.

French science of the period between 1793 and 1830 is now a major focus of study. The large body of work produced since the nineteenth century, particularly in the field of institutional history, has provided the background for important attempts in the last ten or fifteen years to apply tools of sociological analysis to this field of enquiry. Particularly important have been theories of professionalization and institutionalization. It is the purpose of this paper to examine the consequences of the use of such models in relation to this specific historical context. In particular, I shall suggest that such questions as the importance of institutions in the conduct of science, and the extent to which science became a profession or remained a vocation, may be better understood once the world of French science has been situated in a wider political and intellectual context. An article, however, can do no more than suggest new perspectives, and must leave to more extended treatments the work of amplification and correction. Briefly, however, this paper will argue for a view of science at this period as locked in a conflict between the ambiguous demands of the political world on the one hand, and on the other pressures on individuals and groups within the vocation of science to conform to an ideology which viewed science as completely non-political.

In his comprehensive survey of the work of William Herschel, published in the Annuaire du Bureau des Longitudes for 1842, Dominique Arago argued that the life of the great astronomer ‘had the rare privilege of forming an epoch in an extended branch of astronomy’. Arago also noted, however, that Herschel's ideas were often taken as ‘the conceptions of a madman’, even if they were subsequently accepted. This fact, commented Arago, ‘seems to me one that deserves to appear in the history of science’. From the time Herschel published his first paper in the Philosophical transactions in 1781, he was subjected to the suggestion of lunacy. His patron and friend William Watson, told him that after his claims for the extraordinary power of his telescopes, ‘your prognosis that some would think you fit for Bedlam has been verified’. On learning of Herschel's supremely accurate new micrometer, the astronomer Alexander Aubert exclaimed to Herschel that ‘we would go to Bedlam together’: Aubert wrote to Herschel in January 1782 that he should ‘mind not a few jealous barking puppies: a little time will clear up the matter, and if it lays in my power you would not be sent to Bedlam alone, for I incline much to be of the party’.

In 1826 André-Marie Ampère published the ‘Mathematical theory of electrodynamic phenomena, uniquely derived from experiment’, in which he showed how the mathematical law for the force between current elements could be derived from four ingenious equilibrium experiments. He made a great show of following a Newtonian inductivist methodology, and his law, like Newton's for gravitation, was presented as a purely descriptive mathematical expression for a certain class of phenomena, one for which its author did not provide any causal or ontological justification. Ampère's electrodynamics would accordingly seem to have been a solid contribution to the Laplacian-Newtonian approach to physics so actively pursued in France during the first quarter of the nineteenth century. It does not surprise us to read that his electrodynamic force law and his molecular-currents theory of magnetism were immediately and widely accepted by his French contemporaries. Ampère was, in this view, just another of the many great French mathematical physicists of the period.

On 6 September 1836, George White wrote from Hatton Garden to T. B. Hall in Liverpool:

I see by an advertisement that [there is] a proposition to form a Society to be called the Botanical Society of London—Its objects are the advancement of Botanical Science in general but more especially systematic and descriptive Botany—the formation of a Library, Museum & Herbarium—A meeting will be held at the Crown & Anchor, Strand, tomorrow evening & it is my intention to attend it—It has been proposed that Ladies should be admitted!!!

If the writer of those words lived up to his declared intention and did attend that or any other of the long string of inaugural meetings the Society held during the last quarter of that year, he would have been startled, perhaps even appalled to find how seriously that last-mentioned proposal had been taken. For on 3 November he would have found in the room at the Crown and Anchor Tavern (according to one report) ‘a crowded assembly of both ladies and gentlemen’. He would also have heard the founder of the Society, the nineteen-year-old Daniel Cooper, deliver a paper on the effects of light on plants, which (according to the same report) ‘excited great interest, more particularly with the ladies’. A fortnight later the meeting was again ‘numerously attended’ and again it attracted a number of the supposedly unlearned sex, some of whom by then were ‘members of the society’ unambiguously.

A recent note by lan Inkster observed that a Parliamentary Act of 1817 to suppress seditious meetings also posed a threat to scientific lecturers and societies between 1817 and 1820. Further evidence is presented here as to the intentions of the 1817 Act and its effects on science. It is particularly important to add to the observations of Inkster, first, that chartered societies were exempt, and second, that the Act expired on 14 July 1818, although further measures were introduced in December 1819. To explain the provisions of these Acts, especially the distinctions made between lectures held by chartered societies as opposed to independent associations, it is relevant to consider how legislation to prevent seditious meetings and societies in the wake of the French Revolution demarcated between seditious blasphemy and legitimate scientific inquiry. The Acts provide an opportunity of locating science in contreversies over the freedom of speech and association. The questions arise of the relation of the 1817 Act to legislation of 1795, 1799, 1801, and 1819 which imposed licensing on lectures, and of the extent to which repressive legislation inhibited the activities of lecturers and societies. The intellectual repercussions were of such magnitude that the mathematician de Morgan observed in retrospect, ‘From 1815 to 1830 the question of revolution or no revolution lurked in all our English discussions’.