Tag Archives: Dedekind

Distinguishing the General from the Generic / Lectures / Pre-specificity / Thinking as an Algebraic Mechanist

Abstract: Serious stories around the fantastic dream of a mathesis universalis and the inception of Universal Algebra in the late 19th century

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Proposal for The Common Denominator Conference, Universität Leipzig, March 2014. Keywords: Critical Reasoning; Symbolic Reasoning; Amphiboly, Reflection and Projection; Computability In 1898 Alfred North Whitehead published A Treatise on Universal Algebra in order to present “a comparative study of the various Systems of Symbolic Reasoning“ that had been allied to ordinary Algebra since mid 19th … Continue reading →

Algebraic Concepts Characterized / Distinguishing the General from the Generic / Little Dramas Staged / Plotting from History / Pre-specificity / Projective Theory of Technology / Thinking as an Algebraic Mechanist

Continuing the Dedekind Legacy – Computing within the open totality of what can be the object of thought

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abstract The paper presents an architectonic notion of computation in the philosophical sense, which depart from the genuinely algebraic ideas in number theory that have been articulated a.o. by Richard Dedekind. Such a perspective interprets the idea of singularity (Ray Kurzweil) as a hubris in the Fregean positivist tradition relying on some „third empire of … Continue reading →

Algebraic Concepts Characterized / Gilles Deleuze / Little Dramas Staged / Plotting from History / Projective Theory of Technology / Thinking as an Algebraic Mechanist

The idea of a Characteristica Universalis between Leibniz and Russell, and its relevancy today

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Abstract In this post I will investigate the Leibnizian idea of a Characteristica Universalis from a comparative point of view on two diverging paradigms on computation that can be distinguished, as I will argue, to have emerged since the end of the 19th century. While algebraists like Augustus de Morgan, George Boole, Charles Sanders Peirce … Continue reading →