Logica Universalis 5 (1):127-164 (2011)

Abstract
In this paper we will show Peirce’s distinction between deduction, induction and abduction. The aim of the paper is to show how Peirce changed his views on the subject, from an understanding of deduction, induction and hypotheses as types of reasoning to understanding them as stages of inquiry very tightly connected. In order to get a better understanding of Peirce’s originality on this, we show Peirce’s distinctions between qualitative and quantitative induction and between theorematical and corollarial deduction, passing then to the distinction between mathematics and logic. In the end, we propose a sketch of a comparison between Peirce and Whitehead concerning the two thinkers’ view of mathematics, hoping that this could point to further inquiries
Keywords Deduction  induction  abduction  hypothesis  logic of discovery  theorematical and corollarial deduction  nature of mathematics  Peirce  Whitehead
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DOI 10.1007/s11787-011-0026-5
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References found in this work BETA

Peirce.Christopher Hookway - 1985 - Routledge.
The Development of Peirce's Philosophy.Murray G. Murphey - 1961 - Cambridge: Mass., Harvard University Press.
The Continuity of Peirce’s Thought.Kelly A. Parker - 1998 - Vanderbilt University Press.

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Citations of this work BETA

On the Metaphysics of (Epistemological) Logical Anti-Exceptionalism.Evelyn Fernandes Erickson - 2021 - Principia: An International Journal of Epistemology 25 (1).
From Really Being to Being Represented.Jeoffrey Gaspard - 2020 - European Journal of Pragmatism and American Philosophy 12 (1).

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