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Diánoia  2010 

Demostración leibniziana de las fórmulas numéricas

Keywords: method, evidence, intuition, formalism, symbolism.

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Abstract:

this paper is intended to analyze the leibnizian theory of mathematical proof, in relation to his general view on science. firstly, it provides the main characteristics of leibniz's method, making a strategic contrast with the cartesian one (§§ 1-3). secondly, because for leibniz the numerical formulae are not primitive logical truths, they require a rigorous formal proof, so that the corresponding demonstration given in the new essays is examined in order to gain new insights into the so-called leibnizian formalism, taking into account as well frege's and poincaré's criticisms to it (§§ 4-6). finally, it offers an evaluative account of all these considerations (§ 7).

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