John Bigelow

A reporter's firsthand portrait of formerly enslaved Jamaicans in the years after emancipation John Bigelow’s Jamaica in 1850 provided an important document in the antislavery movement in the United States and Great Britain. Jamaica’s economy had collapsed after the 1838 emancipation. American supporters of enslavement used the Jamaican example to argue that abolition at home would unleash economic and social chaos. Bigelow’s vivid eyewitness reporting undermined that widely held view by proving Jamaica’s problems originated in the incompetence of absentee white planters and an obsolete colonial system. As Bigelow showed, many once-enslaved Jamaicans had in fact become successful small-scale landowners in the twelve years after emancipation while the large plantations languished.

This book espouses an innovative theory of scientific realism in which due weight is given to mathematics and logic. The authors argue that mathematics can be understood realistically if it is seen to be the study of universals, of properties and relations, of patterns and structures, the kinds of things which can be in several places at once. Taking this kind of scientific platonism as their point of departure, they show how the theory of universals can account for probability, laws of nature, causation, and explanation, and explore the consequences in all these fields. This will be an important book for all philosophers of science, logicians, and metaphysicians, and their graduate students. The readership will also include those outside philosophy interested in the interrelationship of philosophy and science.

This book casts new light on mathematics through its consideration of metaphysical materialism. The author identifies natural, real and imaginary numbers and sets with specified physical properties and relations. However sets are construed numbers are not sets. Sets are important simply because they instantiate all the numbers and all the other properties and relations studied in mathematics. Set theory tempts us into misunderstanding the nature of mathematics; Bigelow challenges the myth that mathematical objects can be defined into existence. By reconstruing numbers as real, non-linguistic, physical properties or relations, mathematics can be drawn back from its sterile, abstract exile into the midst of the physical world to which we belong.