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Was the Early Calculus an Inconsistent Theory?

Vickers, Peter (2007) Was the Early Calculus an Inconsistent Theory? [Preprint]


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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 logician’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.

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Item Type: Preprint
Vickers, Peter
Keywords: calculus, fluxions, infinitesimals, newton, leibniz, inconsistent
Subjects: Specific Sciences > Mathematics
General Issues > History of Science Case Studies
Depositing User: Dr Peter Vickers
Date Deposited: 22 Aug 2007
Last Modified: 07 Oct 2010 15:15
Item ID: 3477

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