The Modal Status of Contextually A Priori Arithmetical Truths

In Francesca Boccuni & Andrea Sereni, Objectivity, Realism, and Proof. FilMat Studies in the Philosophy of Mathematics. Cham, Switzerland: Springer International Publishing. pp. 67-79 (2016)
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Abstract

In Pantsar (2014), an outline for an empirically feasible epistemological theory of arithmetic is presented. According to that theory, arithmetical knowledge is based on biological primitives but in the resulting empirical context develops an essentially a priori character. Such contextual a priori theory of arithmetical knowledge can explain two of the three characteristics that are usually associated with mathematical knowledge: that it appears to be a priori and objective. In this paper it is argued that it can also explain the ...

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Markus Pantsar
University of Helsinki

Citations of this work

Early numerical cognition and mathematical processes.Markus Pantsar - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):285-304.

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References found in this work

Naming and Necessity.S. Kripke - 1972 - Tijdschrift Voor Filosofie 45 (4):665-666.
General semantics.David K. Lewis - 1970 - Synthese 22 (1-2):18--67.
The nature of mathematical knowledge.Philip Kitcher - 1983 - Oxford: Oxford University Press.
Semantical Considerations on Modal Logic.Saul Kripke - 1963 - Acta Philosophica Fennica 16:83-94.
Frege's conception of numbers as objects.Crispin Wright - 1983 - [Aberdeen]: Aberdeen University Press.

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