info:oai:philsci-archive.pitt.edu:3477info:ofi/fmt:xml:xsd:oai_dc
Was the Early Calculus an Inconsistent Theory?
Vickers, Peter
Mathematics
History of Science Case Studies
The ubiquitous assertion that the early calculus of Newton and Leibniz was an inconsistent theory is examined. Two different objects of a possible inconsistency claim are distinguished: (i) the calculus as an algorithm; (ii) proposed explanations of the moves made within the algorithm. In the first case the calculus can be interpreted as a theory in something like the logicianâ€™s sense, whereas in the second case it acts more like a scientific theory. I find no inconsistency in the first case, and an inconsistency in the second case which can only be imputed to a small minority of the relevant community.
2007-08
Preprint
NonPeerReviewed
application/pdf
http://philsci-archive.pitt.edu/3477/1/Early_calculus_August07.pdf
Vickers, Peter (2007) Was the Early Calculus an Inconsistent Theory? [Preprint]
http://philsci-archive.pitt.edu/3477/