Philosophical Visible Infinity

Philosophical Method and Galileo’s Paradox of Infinity

Peirce's Abduction and G Odel's Axioms of Infinity: Philosophical Reeections on the Mathematics of Novelty

Infinity-inner-products on A-infinity-algebras

In this paper the Hochschild-cochain-complex of an A∞-algebra A with values in an A∞-bimodule M over A and maps between them is defined. Then, an∞-inner-product on A is defined to be an A∞-bimodule-map between A and its dual A∗. There is a graph-complex associated to A∞-algebras with ∞-inner-product.

1 Philosophical Heuristics and Philosophical Methodology

Introduction Metaphilosophy is all the rage nowadays. Philosophers are becoming increasingly self-conscious about their methodology, as this volume showcases. And rightly so—it is part of our job description to put thinking under the microscope, and that obviously should include our philosophical thinking. Much as we want philosophers of physics, of biology, of mathematics, and so on to scrutin...

Absolute Infinity *

This article is concerned with reflection principles in the context of Cantor’s conception of the set theoretic universe. We argue that within a Cantorian conception of the set theoretic universe reflection principles can be formulated that confer intrinsic plausibility to strong