Mary Shepherd and the Causal Relation - Part One -/- Part One gives context to the life and work of Lady Mary Shepherd. It weaves together the stories of her ancestors, her own stories and the wider social, historical and philosophical context. The aim is to evoke a world from which to mark the emergence of Mary Shepherd, Scotland’s first female philosopher.

Kant's obscure essay entitled An Attempt to Introduce the Concept of Negative Quantities into Philosophy has received virtually no attention in the Kant literature. The essay has been in English translation for over twenty years, though not widely available. In his original 1983 translation, Gordon Treash argues that the Negative Quantities essay should be understood as part of an ongoing response to the philosophy of Christian Wolff. Like Hoffmann and Crusius before him, the Kant of 1763 is at odds with (...) the Leibnizian-Wolffian tradition of deductive metaphysics. He joins his predecessors in rejecting the assumption that the law of contradiction alone can provide proof of the principle of sufficient reason: -/- In his rejection of the possibility of deducing all philosophic truth from the law of contradiction, however, and in the clear recognition that this impossibility has immediate consequences for defense of the law of sufficient reason, Kant's work most definitely and positively constitutes a line of succession from Hoffmann and Crusius (Treash, 1983, p. 25). -/- The recognition that Kant's Negative Quantities essay is part of a response to the tradition of deductive metaphysics is, without a doubt, an important contribution to the Kant literature. However, there is still more to be said about this neglected essay. The full significance of the paper becomes known through its ties to a second, empiricist line of succession. Clues to this second line of succession can be found in Kant's prefatory remarks concerning Euler's 1748 Reflections on Space and Time and Crusius' 1749 Guidance in the Orderly and Careful Consideration of Natural Events. As I will show, these prefatory remarks suggest a reading of Kant's Negative Quantities paper that reaches beyond German deductive metaphysics to engage a debate regarding the application of mathematics in philosophy initiated by George Berkeley. (shrink)

Kant's special metaphysics is intended to provide the a priori foundation for Newtonian science, which is to be achieved by exhibiting the a priori content of Newtonian concepts and laws. Kant envisions a two-step mathematical construction of the dynamical concept of matter involving a geometrical construction of matter’s bulk and a symbolic construction of matter’s density. Since Newton himself defines quantity of matter in terms of bulk and density, there is no reason why we shouldn’t interpret Kant’s Dynamics as a (...) defence of a Newtonian concept of matter. When Kant’s reasoning is understood in relation to his criteria for mathematical construction, it is possible to maintain that matter theory is central to the Metaphysical Foundations, but that this does not undermine Kant’s stated aim of giving an a priori foundation for Newtonian science. (shrink)

In Chapter I, I discuss Buchdahl’s view that the possibility of empirical lawlikeness could not have been established in the Principles of the Critique given the differences between transcendental, metaphysical and empirical lawlikeness, and the connection between the faculty of Reason and empirical lawlikeness. I then discuss the general conditions for empirical hypotheses according to Kant, which include the justification of the method by which an empirical hypothesis is obtained and the establishment of the general and specific constructability of the (...) empirical concept. -/- *In Chapter II, I discuss the nature of the general construction of concepts which is treated in the Schematism of the Critique, surveying the views of Pippin, Allison, Bennett and Butts in an effort both to make sense of a difficult part of the Critique and to demonstrate that the Schematism is indeed where Kant demonstrates how the construction of empirical concepts in general is possible. -/- *In Chapter III, I discuss Brittan’s and Butts’ views on the nature of the specific construction of empirical concepts, defending Butts’ interpretation as compatible with Buchdahl’s view that gaps exist between kinds of lawlikeness for Kant and, because of its connection with an interpretation of how metaphysical lawlikeness figures in the Metaphysical Foundations of Natural Science, insofar as it helps us to establish the possibility of empirical lawlikeness and natural science. (shrink)